Quantative Questions - June 2008

June 27

1. To satisfy the condition x*y*z > 0 which of the following conditions should be true?
A. X>0 & y>0 & z>0
B. X>0 & y>0 & z<0
and so on…..

2. Given a cube with one side value given… and asked to find surface area?

3.

Given the diameter of bigger circle as some ‘x’. Find area of shaded region, if smaller circle radius is half the radius of bigger circle.

4.


Given a pentagon of equal sides inserted in a circle and asked to find ‘x’?

5. Given four points between positive x-coordinate and positive y-coordinate and asked to find the distance between two points?


June 25

1. Given that 'x' is not equal to 0.
Col A: -2(x^2)
Col B: (x^2)/3

2. Col A: sqrt11+sqrt17
Col B: sqrt14+sqrt14

3. Some dollars are to be divided among some x people so that they are going to get atleast some dollars
Col A: number of ways to distribute the amount so that one receives some x dollars
Col B: number of ways to distribute dollars

4. Given that, if the average of first 5 members is some value 'x' and average of total 12 members is given some value 'y', then What is the average of last 7 members?
(Question is similar to this but.. with some numerical values in place of 'x' and 'y')

5. Given two equations of a straight line and asked to find the point that lies between them?

June 24

1. Given a equation of circle x^2 + y^2 = 49 with two points A(4a, 3) and B(0, -b) on the circle
Col A: Distance between points A & B
Col B: 12

2. In a survey of 200 people, 15% don't have driving licence, 10% were charged for parking ticket one or more time and 78% neither had licence nor were charged for parking ticket one or more time. What are the number of people who don't have licence and also were charged for parking ticket one or more time?

3. What is remainder when 123^4 - 123^3 + 123^2 - 123 is divided by 122?

4. Given that the range of 6 consecutive positive numbers is 6.8 and of 7 consecutive numbers is 13.2. If none of these numbers in the two groups are same, what would be the range of the 13 numbers?

5. Given a pentagon, with its five angles mentioned as x, x, x, 2x-90, 80. Find x?

6. Given two lines equations M and N as 3x^2+y-3=0 & 3x^2-y+3=0
Col A: slope of line M
Col B: slope of line N

7. Col A: (0.9/1.1)^2 + (1.1/0.9)^2
Col B: 2

8. A salesman gets 12% commission on the sales up to $ 500 and he gets 20% commission on the further sales amount on that day. If the salesman's total commission is $380 on that day, then how much amount did he sell on that day?

9. If the Arithematic mean of a list of 65 items is 'p' and arithematic mean of a list of 92 items 'n'. When the the two lists are combined the average mean is 84 then what is the value of p/n?

10. Given that x>y and xy<0.
Col A: x^7
Col B: x^3 * y^4

June 20

1. Col A: sqrt( 28) * sqrt(252)
Col B: 84

2. If the Arithematic mean of a list of 65 items is 'p' and arithematic mean of a list of 92 items 'n'. When the the two lists are combined the average mean is 84 then what is the value of p/n?

3. Given that a * b > 0
Col A: a/b divided by c
Col B: a divided by b/c

4. Given two lines equations M and N as 3x^2+y-3=0 & 3x^2-y+3=0
Col A: slope of line M
Col B: slope of line N

5. Given a solution having 5% salt concentration. To the 500cc of above solution how much amount of a 3.5% salt concentrated solution should be added in order to get 4% salt solution.?

6. Given h > 0
Col A: h^2
Col B: 1/h^2

7. A salesman gets 12% commission on the sales up to $ 500 and he gets 20% commission on the further sales amount on that day. If the salesman's total commission is $380 on that day, then how much amount did he sell on that day?

8. Given that radius of circle M is 1/3 of the radius of circle N, then
Col A: 3 times the area of circle M
Col B: area of the circle N

9. Given two cubiodal tanks M and N with sides of M as r, s and t and sides of N as u, v and w. If the sides r and s are 10% less than u and v, and t is 20% larger than w, then
Col A: Internal volume of tank M
Col B: Internal volume of tank N

10. A number line is given in which three pionts are given as n, n+2, -n+2 on a number scale.
Col A: -n+2
Col B: 4

June 19

1. Given a rectangle of breadth 2m and area 26sq.m and this rectangle is divided vertically with two vertical lines(making it into 3 boxes). If the length of first & second box is 5 and third is 'x', then what is the value of 'x'?

2. There was a survey of 500 persons. Each person was given some questions, and for each question they can answer either "YES" or "NO". If 410 persons from the group answered "YES" for the first question, 220 of the group answered "YES" for the second question and if 'n' is the least number of persons who answered "YES" to both the questions, what is the value of 'n' provided if all the 500 persons answered both the questions?

3. Given one pentagon with angles x, x, x, 2x-90 and 80 and was asked to find x value?

4. Given three points of a triangle as (0,0), (x,0) and (4,3). If the area is given as 12, then
Col A: x
Col B: 8

5. Given x < y < 0
Col A: xy
Col B: y-x

6. If the average of 'p' numbers in a list is 62 and the average of 'q' numbers in a list is 65, and if the average of 'p+q' is 85, then the value of p/q is?

7. Given a circle, with another circle inscribed in it and the distance between bigger circle and smaller circle was shaded. If the bigger circle's radius was twice that of smaller circle.
Col A: area of bigger circle - area of smaller circle (shaded part)
Col B: area of smaller circle.

8. Given two line equations 5x - y - 3 = 0 and 5x + y + 3 = 0.
Col A: Slope of the first line
Col B: Slope of the second line.

June 17

1. Given a rectangle of breadth 2m and perimeter 32m, and this rectangle is divided vertically with two vertical lines(making it into 3 boxes). If the length of first & second box is 5 and third is 'x', find the area of the rectangle?

2. Col A: (2)^-1 + (4)^-1 + (6)^-1
Col B: 1 + (12)^-1

3. Given 'n' is a positive integer. What is the least value of n, such that the product 12n should be a perfect square of some integer?

4. Col A: r + s + s
Col B: r + r + s
(Question is exactly given like this without any specifications given: hence answer is "Cannot be determined" ).

5. If the diameter of a circle is 7r + 4. What is the radius?

6. Given that the range of 6 consecutive positive numbers is 6.8 and of 7 consecutive numbers is 13.2. If none of these numbers in the two groups are same, what would be the range of the 13 numbers?
(Question is similar to this.. with slight numerical changes)

7. Given that 'm' and 'h' are two positive integers. If 10^50*m+h is divisible by 9, then
Col A: Remainder when 'm+h' is divided by 9 is
Col B: 5

8. What is the remainder when 123^4-123^3+123^2-123 is divided by 122?

9. Given xy = 0
Col A: (x+y)^2
Col B: (x-y)^2

10. A Pentagon is given with one angle known and other angles in terms of x and asked to determine x?

11. If -1<0, then the median of -1, 1, x, x^2, x^3 is?

June 9

1. 0 < 7/m < m/7
Col A: m
Col B: 7

2. Cube root of 150 lies in the range of?

3. Given that AB is a side of triangle and CD diameter of a circle. If AB = CD, then
Col A: Perimeter of triangle
Col B: Circumferenece of circle

4. There 20 students in a class, half of the students are boys. If 7 members should be selected out... and of which if 6 are girls find the probability that the 7th member is also a girl?

5. Given 6 balls, numbered as 1,2,3,..6. If two balls are picked from them, then what is the probablity that their sum is 8?

6. Col A: sqrt(3) / sqrt(2)+5
Col B: sqrt(2) / sqrt(3)+5

7. A cuboid was given with some boxes having l = 9, b = 3 and h = 3. Find the total surface area of the cuboid?

8. If the total strength of a class is 35 and ratio(girls:boys) is 3:4, what is the difference between number of girls and boys in the class?

9. Col A: Standard deviation of 1, 2, 3, 4
Col B: half the Standard deviation of 3, 4, 6, 7.

10. Given that x is not equal to 0
Col A: x^(-x) / (lxl)
Col B: x^(-x)

11. Given a equation of circle x^2 + y^2 = 49 with two points A(4a, 3) and B(0, -b) on the circle
Col A: Distance between points A & B
Col B: 12

12. Col A: sqrt(11) + sqrt(17)
Col B: sqrt(14) + sqrt(14)

Verbal Questions - May 2008

May 28

1. Prolific(adj): Producing offspring or fruit in great abundance; fertile; characterized by abundant production.
Synonyms: teeming, fecund, abundant.
Antonyms: barren.

2. Consonant(adj): in agreement; agreeable; in accord; consistent ; corresponding in sound, as words
Synonyms: concordant, congruous, conformant, accordant, compatible, congenial, harmonious.
Antonyms: dissonant

3. Boast(v): to speak with exaggeration and excessive pride, esp. about oneself; to glorify oneself in speech; talk in a self-admiring way
Boast(n): The act or an instance of bragging.
Synonyms(n): brag, braggadocio, fanfaronade, gasconade, rodomontade, vaunt
Synonyms(v): brag, crow, gasconade, rodomontade, vaunt

4. Accolade(n): any award, honor, an expression of approval; praise; a ceremonial embrace, as of greeting or salutation.
Synonyms: award, guerdon, honorarium, plum, premium.

5. Prig(n): A person who demonstrates an exaggerated conformity or propriety, especially in an irritatingly arrogant or smug manner.
Priggish(adj): exaggeratedly proper
Synonyms: Victorian, bluenosed, old-maidish, precise, prim, prudish, puritanical, strait-laced, stuffy, genteel

6. Straddling(n): to stand or sit with a leg on each side of; to stand wide apart, as the legs; the taking of a noncommittal position

7. Belie(v): to show to be false; contradict; to misrepresent.
Synonyms: refute, disprove, controvert, repudiate, confute, gainsay, besiege, betray, camouflage, contradict, counterfeit, deceive, defame, deny, disguise, disprove, distort, slander.
Antonyms: prove, verify, support.

8. Dissipated(adj): indulging in or characterized by excessive devotion to pleasure; intemperate; Wasted or squandered.
Synonyms: dissolute, incontinent, licentious, profligate, unbridled, unconstrained, unrestrained, wanton.

9. Nuance(n): a subtle difference or distinction in expression, meaning, response; a very slight difference or variation in color or tone
Synonyms: subtlety, nicety, hint, refinement, variation.

10. Pernicious(adj): causing insidious harm or ruin; injurious; hurtful
Synonyms: baleful, baneful, deleterious, detrimental, evil, fatal, malign, noxious, ruinous, toxic, lethal.

11. Gossamer(n): something extremely light, flimsy, or delicate; a fine, a fine film of cobwebs often seen floating in the air or caught on bushes or grass; a soft sheer gauzy fabric.

12. Elusive(adj): eluding clear perception or complete mental grasp; hard to express or define; difficult to describe.
Synonyms: baffling, cagey, cunning, eely, ephemeral, equivocal, evasive, fleeting, foxy, impalpable, insidious, intangible, lubricious, mysterious, saponaceous, slippery, subtle, tricky, wily.

13. Impede(v): to retard in movement or progress by means of obstacles or hindrances; to prevent or delay the start or progress of.
Synonyms: clog, curb, deter, disrupt, hamper, harass, hinder, interfere, obstruct, stymie, thwart.

14. Encumbrance(n): something that encumbers; something burdensome, useless, or superfluous; burden; hindrance; a dependent person; a charge against property; any obstruction that impedes or is burdensome.
Synonyms: complication, debt, embarrassment, handicap, hindrance, impediment, incubus, obstacle, perplexity.

15. Quarantine(n): a strict isolation imposed to prevent the spread of disease; to exclude, detain, or isolate for political, social, or hygienic reasons.
Synonyms: ban, confine, exclude, interdict, isolate, restrain, restrict.


Analogies:

1. Impede: Encumbrance

2.Quarantine: Isolate

ORKUT VERBAL DATABASE (Till May 23rd)


Today's Words:

1. Irrational(adj): not in accordance with reason, without the faculty of reason; deprived of reason ; utterly illogical; without or deprived of normal mental clarity or sound judgment, absurd; foolish.
Synonyms: unreasonable, ridiculous; insensate; illogical.

2. Friable(adj): easily crumbled or reduced to powder; crumbling.
Synonyms: fragile, frangible, brittle

3. Consensus(n): An opinion or position reached by a group as a whole; general agreement or concord.
Synonyms: unanimousness, harmony.

4. Torpor(n): A state of mental or physical inactivity or insensibility; a state of suspended physical powers and activities; sluggish inactivity or inertia
Synonyms: stolidity, listlessness, lethargy, sleepiness, slumber, drowsiness; apathy; numbness.

5. Mollify(v): to soften in feeling or temper, as a person; to reduce the rigidity of.
Synonyms: pacify, appease, soothe, assuage, conciliate, dulcify, placate, propitiate.

6. Beguile(v): to influence by trickery, flattery, etc.; mislead; to take away from by cheating or deceiving; to charm or divert
Synonyms: delude; bewitch, captivate, enchant, betray, cozen, hoodwink, humbug.


Issue Topic :

1. The best way to understand the character of a society is... only by studying its major cities.
(something similar to this)


Argument Topic:

1. Thirteen years ago, researchers studied a group of 25 infants who showed signs of mild distress when exposed to unfamiliar stimuli such as an unusual odor or a tape recording of an unknown voice. They discovered that these infants were more likely than other infants to have been conceived in early autumn, a time when their mothers' production of melatonin—a hormone known to affect some brain functions—would naturally increase in response to decreased daylight. In a follow-up study conducted earlier this year, more than half of these children—now teenagers—who had shown signs of distress identified themselves as shy. Clearly, increased levels of melatonin before birth cause shyness during infancy and this shyness continues into later life.

May 21

1. Bilious(adj): relating to or containing bile; irritable as if suffering from indigestion; extremely unpleasant or distasteful.
Synonyms: grumpy, crabby, cross, grouchy, dyspeptic; peevish; irritable; cranky.

2. Inveterate(adj): Firmly and long established; deep-rooted; settled or confirmed in a habit.
Synonyms: hardened, constant, habitual, set, fixed, rooted.

3. Hermetic(adj): Completely sealed, especially against the escape or entry of air; not affected by outward influence or power; isolated.

4. Obscure(adj): not clear or plain, not clear to the understanding.
Synonyms: dubious, ambiguous, vague, or uncertain, blurred, veiled, undistinguished, secluded, inconspicuous, dusky, somber, abstruse.
Antonyms: certain, clear, conspicuous, bright.

5. Hygienic(adj): conducive to good health; healthful; sanitary; tending to promote or preserve health.

6. Absolve(v): to free from guilt or blame or their consequences, to grant pardon for, To pronounce clear of guilt or blame; to relieve of a requirement or obligation.
Synonyms: exculpate, acquit, exonerate, vindicate.
Antonyms: blame.

7. Mollify(v): to soften in feeling or temper, to calm in temper or feeling; to reduce the rigidity of; soften.
Synonyms: appease, assuage, calm, conciliate, dulcify, pacify, placate, propitiate.

8. Mitigate(v): to lessen in force or intensity; to make less severe
Synonyms: allay, alleviate, assuage, comfort, ease, lessen, lighten, palliate.

9. Extricate(v): To release from an entanglement or difficulty; to liberate from combination.
Synonyms: loose, rescue, recover; disengage.

10. Assuage(v): to make milder or less severe; relieve; ease, to soothe, calm; to satisfy.
Synonyms: alleviate, lessen, relieve, mitigate, allay, appease, mollify.
Antonyms: intensify.

11. Verbiage(n): overabundance or superfluity of words, as in writing or speech; the manner in which something is expressed in words.
Synonyms: diffuseness, diffusion, pleonasm, prolixity, redundancy, verboseness, verbosity, wordage.

12. Overhaul(v): To examine or go over carefully for needed repairs; to dismantle in order to make repairs, to gain upon, catch up with, or overtake, as in a race.


Analogies:

1. Overhaul: Revision

2. Thermal: Heat


May 16

1. Sequential(adj): characterized by regular sequence of parts; following.
Synonyms: sequent, serial, subsequent, successional, successive, Sequential, consequent.
2. Latent(adj): potentially existing but not presently evident or realized; apparent; remaining in an inactive or hidden phase.
Synonyms: dormant, quiescent, veiled, abeyant, inactive, sleeping.
Antonyms: open, active.

3. Garrulous(adj): excessively talkative in a rambling, roundabout manner; wordy or diffuse.
Synonyms: prating, babbling; verbose, prolix, loquacious.
Antonyms: reticent, uncommunicative, taciturn, close-mouthed.

4. Effervescence(v): to give off bubbles of gas, as fermenting liquors; to show enthusiasm, excitement, liveliness, etc.

5. Discordant(adj): being at variance; disagreeing;harsh; Not being in accord; conflicting; not in agreement or harmony.
Synonyms: dissonant; incongruous; Discordant; discrepant.

6. Harmony(n): agreement; accord;a consistent, orderly, or pleasing arrangement.
Synonyms: accord, concert, concord, symphony, tune; congruity; amity, friendship; consonance, conformity, correspondence, consistency.

7. Delegation(n): the body of delegates chosen to represent a political unit, as a state, in an assembly; a group or body of delegates; authorizing subordinates to make certain decisions.
Synonyms: commission.

8. Pride(n): the state or feeling of being proud; a high or inordinate opinion of one's own dignity, importance, merit, or superiority; an excessively high opinion of oneself.
Synonyms: conceit, self-esteem, egotism, vanity, vainglory; amour-propre, ego, self-regard, self-respect.
Antonyms: humility.

9. Esteem(v): to regard highly or favorably; regard with respect or admiration.
Synonyms: reverence, veneration; account, admiration, appreciation, consideration, estimation, favor, honor, regard, respect.
Antonyms: disdain.


Analogies:

1. Discordant: Harmony

2. Delegation: Represent

3. Pride: Esteem

May 14

1. Appease(v): to bring to a state of peace, quiet, ease, calm, or contentment; to satisfy; or relieve
Synonyms: pacify; soothe; assuage; allay; conciliate, propitiate
Antonyms: enrage; increase, arouse, sharpen; defy.

2. Estrange(v): to turn away in feeling or affection; make unfriendly or hostile; to divert from the original use or possessor; To withdraw; to withhold
Synonyms: alienate, disaffect, disunite

3. Succinct(adj): expressed in few words; characterized by conciseness or verbal brevity.
Synonyms: concise; terse; pithy, compendious, laconic

4. Dependant(adj): Contingent on another; Subordinate; Relying on or requiring the aid of another for support; addicted to a drug.

5. Oblivious(adj): unmindful; unconscious; unaware; forgetful; Lacking all memory
Synonyms: withdrawn, musing, daydreaming, dreamy, forgetful, distracted, abstracted.

6. Drift(n): a driving movement or force; impulse; pressure; overbearing power or influence;impetus.

7. Sequential(adj): characterized by regular sequence of parts; following;
Synonyms: sequent, serial, subsequent, successional, successive, Sequential, consequent.

8. Erudite(adj): characterized by great knowledge; learned or scholarly.
Synonyms educated, knowledgeable; wise, sapient

9. Bewilderment(n): The condition of being confused or disoriented; confusion resulting from failure to understand
Synonyms: befuddlement, discombobulation, fog, muddle, mystification, perplexity, puzzlement, stupefaction, stupor, trance, daze.

10. Keen (adj): Having a fine, sharp cutting edge or point; having or marked by intellectual quickness
Synonyms: cutting, bitter, caustic; piercing, penetrating, acute; discerning, astute, sagacious, shrewd, clever; avid; earnest, fervid.
Antonyms: dull.

11. Benevolent(adj): desiring to help others; charitable; characterized by or expressing goodwill or kindly feelings.
Synonyms: altruistic, beneficent, benign, benignant, goodhearted, kindhearted, humane, generous, liberal, philanthropic.
Antonyms: cruel, malevolent.


Analogies:

1. Finger print: Identification

2. Frequent: Rare


Issue Topics:

1."The study of history places too much emphasis on individuals. The most significant events and trends in history were made possible not by the famous few, but by groups of people whose identities have long been forgotten."

2. History is useful to find illusion of particular period of time they lived.


Argument Topic:

1. The following appeared in a newspaper feature story. "At the small, nonprofit hospital in the town of Saluda, the average length of a patient's stay is two days; at the large, for-profit hospital in the nearby city of Megaville, the average patient stay is six days. Also, the cure rate among patients in the Saluda hospital is about twice that of the Megaville hospital. The Saluda hospital has more employees per patient than the hospital in Megaville, and there are few complaints about service at the local hospital. Such data indicate that treatment in smaller, nonprofit hospitals is more economical and of better quality than treatment in larger, for-profit hospitals."

May 9

1. Affinity (n): A natural attraction, liking, or feeling of kinship.
Synonyms: partiality, fondness; sympathy, leaning, bent; similarity, compatibility.
Antonyms: dislike, aversion, dissimilarity, disparity

2. Invigorate (v): to give vigor to; fill with life and energy; energize; heighten or intensify;

3. Prolong (v): to lengthen out in time; extend the duration of; cause to continue longer; to lengthen in duration; to lengthen in extent.
Synonyms: draw out, elongate, extend, prolongate, protract, spin, stretch.
Antonyms: abbreviate

4. Appease (v): to bring to a state of peace, quiet, ease, calm, or contentment;to satisfy or relieve.
Synonyms: to allay, or relieve; assuage; pacify; soothe; conciliate, dulcify, mollify, placate, propitiate.

5. Repose (n): The act of resting or the state of being at rest; peace; calm, tranquillity.

6. Elucidate (v): to make lucid or clear; throw light upon; make clear and (more) comprehensible; to provide clarification; explain

7. Stoical (adj): impassive; characterized by a calm
Synonyms: imperturbable, cool, indifferent.
Antonyms: sympathetic, warm, demonstrative, effusive.

8. Rescind (v): to abrogate; annul; revoke; repeal; to invalidate (an act, measure, etc.) by a later action or a higher authority.
Synonyms: nullify; retract, withdraw; countermand, repeal, veto.

9. Maverick (n): someone who exhibits great independence in thought and action.
Synonyms: nonconformist, independent, loner.

10. Saunter (v): to walk with a leisurely gait; stroll; a leisurely walk (n).
Synonyms: amble, ramble, meander.

11. Wary(adj): watchful; being on one's guard against danger
Synonyms: alert, vigilant, guarded, circumspect, prudent.

12. Gulled (v): To deceive or cheat.


Analogies:

1. Conductor: score

2. Saunter: walk

3. Wary: gulled

4. He: she


Issue Topic:

1. The surest indicator of a great nation is not the achievements of its rulers, artists, or scientists, but the general welfare of all its people.

Quantative Questions - May 2008

May 28

1. If 0 > x > -1 then which of the following must be the greatest among all the given options
A. x
B. 2x
C. x^3
D. x-1
E. x^3-1

2. If x < y and x^2-xy=0
Col a: x
Col b: 0

3. Col A: 1/97+1/98+1/99+1/100
Col B: 1/25

4. In one bag, half the balls are red, 1/8 green, 24 are neither, so how many balls are there altogether?

5. Col a: (4^-3+4^9)/32^-2
Col b:16(1+2^23)

6. If a man walks at the rate of 3miles per hour then the distance he covered in 18 minutes is given by (1mile = 5208foot)
A. 4000 feet
B. 4250 feet
C. 4500 feet
D. 4750 feet
E. 5000 feet

7. Given a smaller circle inscribed in the larger circle, if.... 'r' is a point on the smaller circle, 's' is a point on the larger circle, 'o' is the center of both the circles, or = x, rs = y, and if the area of the smaller circle is equal to the area of the big circle minus the area of the small circle, then what is value of y in terms of x?

8. 1/500 - 1/1000 =

9. If x is a positive number, then
Col A: x^2
Col B: 1/x^2

10. mod(2- 1/2) + mod(2- 7/2) = ?

11. A man invested Rs.10,000 at the rate of interest x% and Rs.8000 at the rate of interest y%. If x = (3/4)*y then
col A: Interest for 1 year for 10000 at x%
col B: Interest for 1 year for 8000 at y%

May 26

1. For 'n' any positive integer, if An = n^2
Col A: A1+A2+A3+A4+A5
Col B: 30

2. If a principle amount of Rs.10,000/- were given at the rate of interest x% and Rs.8000/- were given at the rate of y% and if x=3y/4 then
Col A: interest on money given at the rate x percent
Col B: interest on money given at the rate y percent

3. How many maximum non-overlaping divisions can be made in a rectangular by drawing 3 straight line.

4. Given a right angle triangle ABC, the length of hypoteneous AB is 15 and a point D was given on AB and DB is 5 and other point E was given on AC. Angle c and e are both 90 degree. Find the length of AE?

5. A company charges 4$ per order as transportation fees and 0.5$ per book. If an order costs x$ and it is equal to m times the transportation fees. What is the charge per book in terms of x and m?


May 23

1. If a2 = a1 + 4* a1 and a1 = 3 find the 19th term of series?

2. If x = (1000) ^10
Col A: number of zeroes in 'x'
Col B: 30

3. If 621<x<675 and “x” is a multiple of 3, and if “u” is unit digit of “x” and “t” is tens digit of “x” then which of the following should be a multiple of “x”.
A. t+u
B. u-t
C. t^u
D. u^t

4.


Col A: X
Col B: Y

5. There are 26 women in a room in that 13 women are selected out of which 7 are under 40 years.
Col A: Percentage of women under 40
Col B: 40%

May 20


1. If the sum of the first 100 positive integers is 5050 then what is the sum of the first 200 positive integers?
A. 10,100
B. 10,200
C. 15,050
D. 20,050
E. 20,100

2. Col A: sqrt(11)
Col B: 3.5

3. If the product of 6 integers is negative, at most how many of the integers can be negative?

4. If the slope of the line passing through the point (5,5) is 5/6. All of the following points could be on the line except.....
(some points were given in the options).
Question is similar to this.....

5. If 3x + y = 19 and x + 3y = 1 are the equation given. Find the value of 2x + 2y?

6. John wrote a phone number on a note that was later lost. John can remember that the number had 7 digits, the digit "1" appeared in the last three places and "0" did not appear at all. What is the probability that the phone number contains at least two prime digits?
a) 15/16
b) 11/16
c) 11/12
d) 1/2
e) 5/8

7. A group of 4 pumps are filling a tank. Each of the 3 smaller pumps works at 2/3rds the rate of the largest pump. If all 4 pumps work at the same time, they should fill the tank in what fraction of the time.... that it would have taken the largest pump if it operated alone?

8. If p+6, q+6, r+6 has a standard Deviation 'S' then what will be the Standard Deviation for p, q, r?
a.6S+6
b.8S+18
c.6S
d. none

9. If the profit made by a company is given by P and the tax the company has to pay to the government is $6000 + r% of the profit over $250000. If a company has to pay 3% of its profit as tax, what is the profit made by the company?

10. Given a1, a2, a3,......an, is a series such that an= an - a(n-1), for 2>n. If a1=-5, a2= 4, find the sum of first 50 numbers of the series?

11. Given two circles of radius 3 and 5, if a line tangent to the smaller circle passes through the bigger circle at points Q and P. What is the length of PQ?

Verbal Questions - April 2008

April 29

1. Maverick(n): someone who exhibits great independence in thought and action.
Synonyms: nonconformist, independent, loner.

2.Meet(v): to come upon; come into the presence of; encounter; to become acquainted with;
Synonyms: get together, rendezvous, confront, intersect, converge, unite.
Antonyms: adjourn, scatter, diverge.

3. Embolden(v): to make bold or bolder; hearten; encourage

4. Prevaricate(v): to speak falsely or misleadingly; To stray from or evade the truth;
Synonyms: evade, shift, equivocate.

5. Lachrymose(adj): suggestive of or tending to cause tears; tearful; given to shedding tears readily; mournful.

6. Dilettante(n): a person who takes up an art, activity, or subject merely for amusement.
Synonyms: amateur.

7. Wardrobe(n): a stock of clothes or costumes; a room or place in which to keep clothes or costumes; a piece of furniture for holding clothes

8. Resilient(adj): springing back; rebounding; returning to the original form or position after being bent, compressed, or stretched.
Synonyms: elastic, flexible, springy.

9. Ethereal(adj): extremely delicate or refined; Characterized by lightness and insubstantiality;


Analogies:

1. Opera :music

2. Meet: embloden

3. wardrobe:garment


Issue topic:

1. People who pursue their own intellectual interests for purely personal reasons are more likely to benefit the rest of the world than are people who try to act for the public good.

Argument Topic:

1. The following appeared in a memo from the mayor of the town of Hopewell. "Two years ago, the town of Ocean View built a new municipal golf course and resort hotel. During the past two years, tourism in Ocean View has increased, new businesses have opened there, and Ocean View's tax revenues have risen by 30 percent. The best way to improve Hopewell's economy, and generate additional tax revenues, is to build a golf course and resort hotel similar to those in Ocean View."

April 25

1. Stasis(n): the state of equilibrium or inactivity caused by opposing equal forces; A condition of balance among various forces; motionlessness.

2. Proffer(v): to put before a person for acceptance; offer.
Synonyms: bid, proposal, tender.

3. Belie(v): to show to be false; to misrepresent; to act unworthily according to the standards.
Synonyms: refute, disprove, controvert, repudiate, confute, gainsay.
Antonyms: prove, verify, support.

4. Repudiate(v): to reject as having no authority or binding force; to reject with disapproval or condemnation.
Synonyms: disavow, renounce, discard, disclaim, condemn, disapprove, deny, disacknowledge, reject.
Antonyms: accept, approve.

5. Aggrandize(v): to widen in scope; increase in size or intensity; enlarge; extend; to make great or greater in power, wealth, rank, or honor.
Synonyms: inflate, strengthen, exalt, magnify.
Antonyms: reduce, diminish, minimize.

6. Lithe(adj): bending readily; pliant; limber; supple; flexible; Marked by effortless grace.

7. Happenstance(n): a chance happening or event

8. Spartan(adj): sternly disciplined and rigorously simple, frugal, or austere; Rigorously self-disciplined or self-restrained, brave; undaunted.

9. Mulish(adj): as being very stubborn, obstinate, or intractable; unreasonably rigid in the face of argument or entreaty or attack.

10. Persuaded(v): to prevail on (a person) to do something, as by advising or urging; to induce to believe by appealing to reason or understanding; convince.

11. Impetuous(adj): of, pertaining to, or characterized by sudden or rash action, emotion, moving with great force; violent.
Antonyms: planned, careful.


Analogies:

1. Impetuous: hesitancy

2. Mulish : persuaded


Issue Topic:

1. Importance of general welfare of people of a country rather than its achievers.


Argument Topic:

1. The following appeared in a memorandum from a dean at Omega University. "Fifteen years ago, Omega University implemented a new procedure that encouraged students to evaluate the teaching effectiveness of all their professors. Since that time, Omega professors have begun to assign higher grades in their classes, and overall student grade averages at Omega have risen by thirty percent. Potential employers apparently believe the grades at Omega are inflated; this would explain why Omega graduates have not been as successful at getting jobs as have graduates from nearby Alpha University. To enable its graduates to secure better jobs, Omega University should now terminate student evaluation of professors."

April 22

1.Garbled(v) : to confuse unintentionally or ignorantly; jumble; to make unfair or misleading selections from or arrangement of (fact, statements, writings, etc.)

2.Confession(n): The act or process of confessing.; Something confessed, especially disclosure of one's sins to a priest for absolution; a public declaration of your faith
Synonyms: avowal; admission; acknowledgment

3.Succumb(v): to give way to superior force;to give way to superior force; To submit to an overpowering force or yield to an overwhelming desire; give up or give in.
Synonyms: submit, accede, surrender.

4.Surfeit(n): excess; an excessive amount; excess or overindulgence in eating or drinking.
Synonyms: superabundance, superfluity, stuff, gorge.
Antonyms: lack

5. Laconic(adj): using few words; expressing much in few words; concise
Synonyms brief, pithy, terse; succinct.
Antonyms: voluble.

6. Rotundity(n): the condition or quality of roundness or plumpness, as of an object or person; fullness, as in tone or speech

7. Benediction(n): an utterance of good wishes; a blessing, an invocation of divine blessing

8. Ablution(n): a cleansing with water or other liquid; a washing of the hands, body, etc.

9. Glutton(n): A person who eats or consumes immoderate amounts of food and drink; a person with a remarkably great desire or capacity for something;

10. Quaint(adj): having an old-fashioned attractiveness or charm; strange, peculiar, or unusual in an interesting, pleasing, or amusing way.
Synonyms: antiquated, archaic, curious, uncommon
Antonyms: ordinary.

11.Magniloquent(adj): speaking or expressed in a lofty or grandiose style; pompous; bombastic; boastful; Lofty and extravagant in speech; grandiloquent.

12.Dust jacket(n): A removable paper cover used to protect the binding of a book.

13. Apocryphal(adj): of doubtful authorship or authenticity; Of questionable authorship or authenticity; Of questionable authorship or authenticity

14. Authenticity(n): The quality or condition of being authentic, trustworthy, or genuine
Synonyms: genuineness, realness, truthfulness, validity

15. Recant(v): to withdraw or disavow a statement, opinion, etc.; retract.


Analogies:

1.Dust jacket: books

2.Apocryphal: authenticity

3.Recant : spend

4.Glasses: vision

Issue Topic: 1.There are two types of laws: just and unjust. Every individual in a society has a responsibility to obey just laws and, even more importantly, to disobey and resist unjust laws

April 21


Today’s Words:

1.Assiduous(adj): constant; constant in application or effort; working diligently at a task; persevering; attentive.
Synonyms: industrious, sedulous, diligent, studious, Assiduous;tireless, persistent.
Antonyms: inconstant, lazy.

2.Surmount(v): to mount upon; get on the top of; to surpass in excellence; to exceed in amount; To overcome (an obstacle, for example); conquer.

3.Purvey(v): to provide, furnish, or supply (esp. food or provisions) usually as a business or service; To advertise or circulate.

4.Rancor(n): bitter, rankling resentment or ill will; hatred; malice.
Synonyms: bitterness, spite, venom, animosity, embitterment, gall, resentfulness, virulence.
Antonyms: benevolence.

5.Mottle(v): to mark or diversify with spots or blotches of a different color or shade

6.Estimable(adj): worthy of esteem; deserving respect or admiration; capable of being estimated.
Synonyms: reputable, respectable, admirable, laudable, meritorious, excellent.
Antonyms: contemptible.

7.Dour(adj): Marked by sternness or harshness; Silently ill-humored; gloomy.
Synonyms: morose, sour, moody, unyielding, forbidding, sullen.

8.Salubrious(adj): favorable to or promoting health; favorable to health of mind or body; Conducive or favorable to health or well-being

9.Abet(v): to encourage, support, or countenance by aid or approval, usually in wrongdoing.
Synonyms: assist, promote, succor.
Antonyms: hinder, discourage.

10.Antediluvian(adj): a very old or old-fashioned person or thing, of or belonging to the period before the Flood; very old, old-fashioned, or out of date; antiquated; primitive, ancient.

11.Dessert(n): cake, pie, fruit, pudding, ice cream, etc., served as the final course of a meal.


ANALOGIES:

1.Antediluvian: age

2.Dessert: meal

April 10

1. Insipid(adj): without distinctive, interesting, or stimulating qualities; without sufficient taste to be pleasing, as food or drink.
Synonyms: anemic, arid, banal, beige, drab, dullsville, feeble, inane, innocuous, jejune, limp, mundane, nebbish, prosaic, stale, subdued, tedious, tenuous, trite, vapid, wearisome, yawn .
Antonyms: interesting

2. Secret(adj): done, made, or conducted without the knowledge of others.
Synonyms: abstruse, ambiguous, arcane, camouflaged, covert, enigmatical, esoteric, furtive, obscure, occult, recondite, shrouded, veiled.
Antonyms: known, public, visible

3. Annul(v): to reduce to nothing; to make void or null; abolish; cancel; invalidate.
Synonyms: abate, abolish, abrogate, annihilate, countermand, efface, expunge, negate, nullify, obliterate, quash, repeal, rescind, vitiate.
Antonyms: ratify, validate

4. Tantalising(adj): arousing desire or expectation for something unattainable or mockingly out of reach;very pleasantly inviting.

5. Allude(v): to refer casually or indirectly;to contain a casual or indirect reference.
Synonyms: imply, insinuate, intimate, point, refer, suggest.
Antonyms: advertise, keep quiet, keep secret.

6. Virile(adj): having or exhibiting masculine energy, forcefulness, or strength in a marked degree.
Synonyms: colt, hairy, hunk, jock, jockstrap, lusty, mannism, procreative, robust, stud, vigorous.
Antonyms: effeminate, impotent, unmanly

7. Demography(n): the science of vital and social statistics, as of the births, deaths, diseases, marriages, etc., of populations.
Synonyms: anthropology, census-taking, population analysis, population density, population growth, population size, population studies, population vital statistics.

8. Opera(n): the form or branch of musical and dramatic art represented by such compositions.


Analogies:

1. Demography: population

2. Singers: opera

3. Classroom: teacher


Issue Topic:
1. "Although many people know how to achieve success, but very few people achieve it"

April 8

1.Dissension(n):strong disagreement; a contention or quarrel; discord.
Synonyms: altercation, contention, dissent, faction, fuss, strife, variance, wrangle.
Antonyms: accord, agreement, comity, harmony.

2.Enliven(v): to make vigorous or active; invigorate; To make lively or spirited; brighten.
Synonyms: animate, brace up, buoy, exhilarate, galvanize, invigorate, rejuvenate, vitalize, vify.
Antonyms: bore, dampen, dull, extinguish, subdue, tire.

3.Nugatory(adj): of no real value; trifling; worthless; of no force or effect; ineffective; futile

4.Zeitgeist(n): the spirit of the time; general trend of thought or feeling characteristic of a particular period of time.

5.Welsh(v): to cheat by failing to pay a gambling debt; to go back on one's word.
Synonyms: bamboozle, con, defraud, dodge, flimflam, hoodwink, scam.

6.Yank(v): to pull or remove abruptly and vigorously; an abrupt, vigorous pull; jerk.

7.Feint(n): a movement made in order to deceive an adversary; a feigned or assumed appearance
Synonyms: artifice, bait, bluff, distraction, dodge, expedient, gambit, hoax, imposture, maneuver, pretension, ruse, snare, subterfuge, wile.

8.Exchequer(n): a treasury, as of a state or nation.

9.Gubernatorial(adj): of or pertaining to a state governor or the office of state governor.

10.Frieze(n): any decorative band on an outside wall, broader than a stringcourse and bearing lettering, sculpture, etc.

11.Expatiate(v): to enlarge in discourse or writing; be copious in description or discussion: to expatiate upon a theme.

12.Rig(v): to put in proper order for working or use; to assemble, install, or prepare Synonyms: accouterments, apparatus, equipage, fixtures, outfit, tackle.

13.Loom(n): the art or the process of weaving.
Synonyms: approach, be forthcoming, be imminent, brew, dawn, emanate, impend, menace, overhang, portend.

14.Dabble(v): to play and splash in or as if in water, esp. with the hands; to wet slightly in or with a liquid; splash;
Synonyms: boggle, boondoggle, dally, diddle, jerk off, potchky, trifle, twiddle.
Antonyms: be into, be proficient, take seriously.

15. Lurk(v): to lie or wait in concealment, as a person in ambush; to exist unperceived or unsuspected
Synonyms: creep, crouch, prowl, skulk, slink, sneak.

16.Libretto(n): the text or words of an opera or similar extended musical composition.

17.Whit(n): a particle; bit; jot (used esp. in negative phrases);
Synonyms: atom, crumb, fragment, mite, modicum, speck, trace.
Antonyms: lot

18.Whiff(n): a slight gust or puff of wind, air, vapor, smoke; a slight trace of odor or smell.
Synonyms: aroma, blast, draught, flatus, gust, inhalation, smack, soupcon, trifle, waft.

19.Staccato(adj): shortened and detached when played or sung.

April 7

1.Cull(v): to choose; select; pick; pluck.
Synonyms: discriminate, elect, glean, optate, sift, winnow.

2.Seer(n): a person who sees; observer; a person who prophesies future events.
Synonyms: augur, channeller, oracle, soothsayer,

3.Tantamount(adj): equivalent, as in value, force, effect, or signification
Synonyms: commensurate, indistinguishable, synonymous.
Antonyms: different, opposite.

4.Fastidious(adj): excessively particular, critical, or demanding; hard to please.
Synonyms: captious, dainty, discriminating, finicky, fussy, hypercritical, meticulous, nitpicky, punctilious, queasy, squeamish, stickling.
Antonyms: indifferent, sloppy, uncouth, uncritical, undemanding.

5.Daft(adj): senseless, stupid, or foolish; insane; crazy.
Synonyms: absurd, asinine, bedlamite, bonkers, demented, giddy, lunatic, ridiculous, wacky.
Antonyms: rational, sane, sensible, sound, wise.

6.Feckless(adj): ineffective; incompetent; futile;having no sense of responsibility; indifferent; lazy.
Synonyms: feeble, fustian, futile, incautious, ineffectual, , wild.
Antonyms: competent, efficient, important, purposeful, responsible, useful.

7.Bravura(n): a display of daring; brilliant performance; A piece or passage that emphasizes a performer's virtuosity;(adj)--> Showy; ostentatious.

8.Perspicuous(adj): clearly expressed or presented; lucid; easy to understand.
Synonyms: apparent, comprehensible, explicit, limpid, pellucid, unambiguous, unblurred.

9.Exoteric(adj): suitable for or communicated to the general public;Not confined to an inner circle of disciples or initiates.

10.Gargoyle(n): a grotesquely carved figure of a human or animal.

11.Weltschmerz(n): sorrow that one feels and accepts as one's necessary portion in life; sentimental pessimism.

12.Garbled(v): to confuse unintentionally or ignorantly; to make unfair or misleading selections from or arrangement of (fact, statements, writings, etc.)

13.Physiognomy(n): the face or countenance, esp. when considered as an index to the character;the outward appearance of anything, taken as offering some insight into its character.

14.Spat(n): a petty quarrel; a light blow; slap; smack.
Synonyms: altercation, argument, bickering, discord, dissension, embroilment, feud, fracas, fuss, hubbub, squabble, strife, tiff.

15.Wrench(v): to twist suddenly and forcibly; pull, jerk, or force by a violent twist.
Synonyms: coerce, contort, dislodge, pervert, rend, tweak, yank.

16.Jibe(v): to alter course so that a fore-and-aft sail shifts in this manner.
Synonyms: accord, dovetail, harmonize, tally.

April 4

1.Slight(adj): small in amount; of little importance
Synonyms: feeble, insubstantial, meager, paltry, piddling, scanty, sparse, trifling, trivial
Antonyms: big, considerable.

2.Tantalize(v): tease by arousing expectations that are repeatedly disappointed
Synonyms: annoy, badger, baffle, beleaguer, entice, frustrate, gnaw, pester, plague, taunt, thwart, titillate.
Antonyms: disenchant, repulse, turn off.

3.Bilk(v): to defraud; cheat
Synonyms: circumvent, con, defraud, foil, frustrate, overreach, ruin, swindle, thwart.
Antonyms: give, give away

4. Invidious(adj): calculated to create ill will or resentment or give offense; hateful; offensively or unfairly discriminating
Synonyms: abominable, calumnious, defamatory, detestable, detractive, discriminatory, envious, libelous, maligning, obnoxious, odious, repugnant, scandalous, slanderous, vilifying.
Antonyms: desirable, pleasant

5.Calcify(v): To make or become inflexible and unchanging; To make or become stony or chalky by deposition of calcium salts
Antonyms: liquefy, soften.

6.Whet(v): to sharpen (a knife, tool, etc.) by grinding or friction; to make keen or eager; stimulate
Synonyms: edge, file, finish, grind, hone, sharpen, strop
Antonyms: blunt, dull

7.Invective(n): vehement or violent denunciation, censure, or reproach; vehement or violent denunciation, censure, or reproach
Synonyms: accusation, berating, blasphemy, castigation, censure, condemnation, denunciation, diatribe, epithet, jeremiad, obloquy, philippic, revilement, sarcasm, scurrility, tirade, vilification, vituperation
Antonyms: praise.

8.Trenchant(adj): incisive or keen; vigorous; effective; energetic; clearly or sharply defined.
Synonyms: acerbic, acidulous, acute, astringent, caustic, crisp, emphatic, incisive, piquant, scathing, sententious, tart, unequivocal, vigorous
Antonyms: kind, nice.

9.Insipid(adj): without distinctive, interesting, or stimulating qualities;without sufficient taste to be pleasing, as food or drink
Synonyms: anemic, arid, beige, drab, driveling, dullsville, feeble, inane, innocuous, jejune, mundane, nebbish, prosaic, subdued, tedious, tenuous, trite, vapid, wearisome.
Antonyms: interesting

10. Abdicate(v): to renounce or relinquish a throne, right, power, claim, responsibility.
Synonyms: abandon, abjure, abnegate, disclaim, forgo, relinquish, repudiate, waive.
Antonyms: appropriate, arrogate, assert, challenge, claim, hold, maintain, retain, take charge, usurp.


Analogies:

1.Trenchant: insipid

2.Abdicate: throne


Issue Topic:

1.Laws are of two kinds: just laws and unjust laws. It is every individual's responsibility to obey just laws and more importantly to disobey and resist unjust laws.

2.History teaches us that decisions about future cannot be made based on past experiences. (Something like this...)


ORKUT VERBAL DATABASE (Till Apr 3rd)


Today's Words:

1. Exacerbate

2. Stern

3. Debauched

4. Lampoon

5. Impeachable

6. Gratuitous

7. Feral

8. Amenable

9. Futility

10. Pragmatic

11. Saboteur

12. Disrupt


Analogies:

1. Starryeyed: Pragmatic

2. Saboteur: Disrupt

3. choreograph:movement


Issue Topic:

1. The best way to understand the character of a society is to examine the character of the men and women that the society chooses as its heroes or its heroines.


April 1


Today’s Words:

1. Hankering(n) : a longing; craving, to have a strong, often restless desire.
Synonyms: craving, hunger, pining, thirst, urge, weakness, yearning, zazzle.
Antonyms: aversion.

2 .Layover(n): a short stop or break in a journey, usually imposed by scheduling requirements;

3. Allude(v): to refer casually or indirectly.
Synonyms: imply, insinuate, intimate, refer, suggest
Antonyms: advertise, keep quiet, keep secret.

4. Banquet(n): a lavish meal; feast.
Synonyms: festivity, fete, regale, repast.
Antonyms: light meal, snack

5. Happenstance(n): a chance happening or event.

6. Conundrum(n): anything that puzzles; a riddle, the answer to which involves a pun or play on words.
Synonyms: brain-teaser, enigma, mystery, mystification.

7. Escalation(v): to increase in intensity, magnitude, etc.

8.Mettle(n): courage and fortitude, disposition or temperament.
Synonyms: animation, ardor, caliber, dauntlessness, gallantry, gameness, hardihood, indomitability, moxie, spunk, valor, vigor, vitality.

9.Taut(adj): tightly drawn; tense; not slack; emotionally or mentally strained or tense; in good order or condition; tidy; neat.
Synonyms: flexed, snug, stiff, trim, unyielding
Antonyms: droopy, flabby, loose, slack.

10. Haunter(n): One who, or that which, haunts(to visit habitually or appear to frequently as a spirit or ghost, to disturb or distress; cause to have anxiety; trouble; worry).

11. Symphony(n): harmony of sounds; anything characterized by a harmonious combination of elements, esp. an effective combination of colors; agreement; concord.

12. Immutable(adj): not mutable; unchangeable; changeless.
Synonyms: abiding, ageless, constant, enduring, inflexible, invariable, permanent, perpetual, sacrosanct, stable, steadfast, unalterable.
Antonyms: changeable, variable.

13. Qurush(n): a former coin and fractional monetary unit of several Middle Eastern and North African countries.

14. Haphazard(adj): characterized by lack of order or planning, by irregularity, or by randomness; determined by or dependent on chance; aimless; mere chance; accident.
Synonyms: accidental, arbitrary, desultory, erratically, fluke, incidental, indiscriminate, offhand, slapdash, slipshod, spontaneous, unconscious, unpremeditated.
Antonyms: methodical, planned, systematic.


Analogies:

1.Haphazard : order

2.Layover : Journey

3.Obstreperous :Control


Issue Topic:

1.Today’s advertisements are affecting people a lot. They show that if you use the product you “would be like” the model in the advertisement, so this concept is very effective.

Quantative Questions - April 2008

April 29

1. Col A: (1/9)/100
Col B: 1/1000+((1/9)/1000)

2. Which cannot be the sum of 3 or more consequetive integers
A. 1
B. 2
C. 3
D. 4

3.Given that 6 computers of type A,12 computers of type B are in a office, if 25%of the computers are connected to color printers and 33 1/3% of the computers are connected to color printers type B then how many type A computers are connected to colour printers?

4. Given two circles of radius 3 and 5, if a line tangent to the smaller circle passes through the bigger circle at points Q and P. What is the length of PQ?

5. If the sum of a number and its reciprocal is less than 2 then what is the number?
A.1/3
B. 2
C.4/3
D.3/2
E. none of the above

6. If xy =!0
Col a: x^y
Col b: y^x

7. In the xy coordinate axis, two line equations P and Q were given, if these make two points on PQ then distance of PQ is? (Question is something like this)

8. Given two line equations
Col a: slope of line 1
Col b: slope of line 2

9. A rectangle ABCD with sides AB= 16, BC=5. If a point 'P' is ploted on the side CD of the rectangle then what is the probability that the length of the BP is 13?

April 25

1. There are five numbers in a series, 19, 22, 25, 26, 28..each number is increased by k so that the new mean is 28.5, what is the new median?

2. A parobola is given and was intersecting y-axis at one point given, y = x^2-3, and a point in xy-plane is P(2,k). What is the distance between the point P and that of intersecting on y-axis.
A. 6
B. 7
C. 2sqrt(5)
D. 3sqrt(3 )

3. If a person used to get a 30% discount on movie tickets. When the price of the movie ticket increased by 50%, the amount of discount in dollars remained the same. What is his discount with the new Ticket price in percent terms?

4. If -1 < x< 0
Col A: mod(x-1/2)
Col B: mod (-x-1/2)

5. A number x leaves remainder 7 when divided by 11
when divided by 5 leaves remainder 1
Col a: least possible value of x
Col b: 40

6. Given there are 50 numbers, if the average of the first 25 numbers is 16 ,next 10 numbers is 15 and the last set is 20. What is the average of the entire set ?

April 22

1. If a set S consisting of 9 even consecutive integers, how many are divisible by 3.

2. Given that the sales of store A increases from 20% to 24% and sales of store B decreases from 24% to 20%
Col A: percentage increase in sales of store A
Col B: percentage decrease insales of store B

3. If x =3
Col A: x^(x^x)
Col B: (x^x)^x

4. Given a polygon which is marked 7t all the sides
col a: perimeter of the polygon
col b : 7t

5. Which cannot be the sum of 3 or more consequetive integers
A. 1
B. 2
C. 3
D. 4

6. If 2^-5 <2^-6
Col a : 4x
Col B : 1/12

7. A person buys two items of the same kind. If he sells one at 25% of profit and other at 25% of loss then what is the price of the item?(Question is something like this)

8. Given a1, a2, a3,......an, is a series such that an= an - a(n-1), for 2>n. If a1= -5, a2= 4, find the sum of first 50 numbers of the series?

April 21

1. Given that 'xy' is not equal to 0.
Col A: 1/x^3+1/y^3
Col B: 1/(x+y)^3

2. The profit made by a company is given by P and the tax the company has to pay to the government is $6000 + r% of the profit over $250000. If a company has to pay 3% of its profit as tax, what is the profit made by the company?

3. If y = ax+b and y intercept is -2, Find x intercept?

4. Given a line Y = X and there is an another line L which doesn't intersect the first one anywhere(Questions is something like this and was asked to compare following)
Col A: Slope of that line L
Col B: 2

5.If p+6,q+6,r+6 has a standard Deviation 'S' then what will be the Standard Deviation for p, q, r?
a.6S+6
b.8S+18
c.6S
d. none

6. There are 20 coloured pencils in a pencil stand. The probability of choosing a yellow pencil is 0.8.There are 6 yellow pencils without an eraser. What is the probability that a yellow pencil chosen is that which has an eraser?

7. A group of 4 pumps are filling a tank. Each of the 3 smaller pumps works at 2/3rds the rate of the largest pump. If all 4 pumps work at the same time, they should fill the tank in what fraction of the time.... that it would have taken the largest pump if it operated alone?

April 10

1. Given a cuboid whose faces are painted red and the cuboid is cut vertically into 27 pieces. If the pieces are taken out after cutting vertically then how many of these 27 pieces had red color face?

2. If an amount of 10000 for an year with y% rate of interest yield 'm' amount of interest in dollars, then an amount of 'x' with 2r% of interest would yeild 'm/2' amount interest in dollars.
Col A: x
Col B: 5000

3. Balls are distributed one at a time, into six baskets.The 1st ball goes into basket one,the 2nd into basket two and so on. If this is repeated then 74th ball goes into which basket?
A. 4
B. 3
C. 2....... etc.

4.There are 75 numbers in a row and the nth term of a series is 2n+5. Find the median of the series when the numbers are from 1 to 75.
Col A: Median term
Col B: 81

5. If xy < 36.
col A: (x+1)(y+1)
col B: 49

6. If S = {15, 10, 11, x and y} and x + y = 11 then which is the least positive integer in the set S?
a.2
b.3
c.9
so on....

7. If A, B, C, D, E are arranged in a line. Find the total number of arrangements such that B and C lie side by side ?

April 8

1. A group can charter a particular aircraft at a fixed total cost.If 36 people charter aircraft rather than 40,loss per person is 12$. What is cost per person if 40 people charter it?

2. In a triangle the three angles are given as X,X,Y. and the avg of two angles is 65, then what is the possible value of Y in the below options?
A. 60
B. 65
C. 70
D. 75
E. 80

3. A square was given and another square was formed by joining mid points of the square. Perimeter of larger square was given X.
Col a: perimeter of smaller square
Col b: X/2

4. Given a cylinder having volume V. There is one more cylinder that had radius and height both twice of that of the given cylinder, so what is the volume of 2nd cylinder in terms of V?

5. There are five persons A, B, C, D, E. What are the possible combinations they are seated provided C and D always sit nearby?

6. If the volume of a cube is 1 cubic centimeter, then the distance from any vertex to the centre point inside the cube is
A) 1/2
B) 1/sqrt2
C) sqrt2
D) sqrt3/2

7. If x and x+2 are both factors of y then which one is greater?
Col a: x(x+2)
Col b: y


April 4


1. Given an series 1, 2, 2, 3, 3, 3, 4, 4, 4, 4..... if this continues then what will be the value of the 100th term ?

2. 100 < a < b < 1000
Col A: 1/a - 1/b
Col B: 1/100 - 1/1000

3. Given two concentric circles, one with radius 2 and other with radius 5. If a tangent is drawn to the circle of radius 2 and that tangent touches the circle of radius 5 at points R and T. Find the distance between R and T?

4. A rectangle was given. Length (base) (labelled as MS) = 16, Width (labelled as SR) = 5. If a point P is taken on the base randomly, What is the probability that length of PR is less than 13.

5. Given an equation of parabola, a point P was marked on the parabola in the 1st quadrant at (9,k). Find the distance between the point P and the point where it touches the Y axis.( Question is something like this)

6. Equations of two lines were given and distance was asked between points where those lines intersected y and x axis.
(Question is similar to this.... with equations given)

7. Given that the sales of store A increases from 20% to 24% and sales of store B decreases from 24% to 20%
Col A: percentage increase in sales of store A
Col B: percentage decrease insales of store B

8. If (a^3)/(b^3) = -1 then
What is the value of (a^-1)+(b^-1) =

9. Given that SRT is an isosceles triangle with SR=ST. P is a point on RT, with a different distance from both R and T. Which one of the following must be true?
i) SP < SR
ii) SP > RP
iii) SP < RT


April 3

1. Which is the greatest among the following
A. (0.3)^2
B. (0.03)^2
C. (3/10)^3
D. (3/100)^3

2. If x is a positive number
Col A: x^(x^x)
Col B: (x^x)^x

3. If -1<0 then
Col A: (1/x)^2
Col B: x^2

4. Given a cylinder of radius 5 and height 8. Find the largest line that can be drawn joining any two points in the cylinder?
A. 2Sqrt41
B. Sqrt81
C. Sqrt154
and so on....

5. Given a rectangular box with sides 5inches, 6inches, 10inches and has weight 17kgs. What is its density in kg/cubic feet?

6. Given Principal amount as P,rate of interest as R ,and the amount increases from 1995 to 2000 and 2000 to 2005 each time by r%. so that the total amount was (7/5)P at the end of 2 yrs .
Col A : R
Cola B: 20

7. Given a triangle ABC, in which a square is inscribed. If the base of the triangle is 4 times the side of the square, then
Col A: The altitude CD (if D is the mid point of AB)
Col B: Side of the square

8. Col A: Standard Deviation of 23, 24, 25, 26, 26, 26
Col B: Standard Deviation of 25, 26, 27, 28, 29, 30

9. If the circumference of a circle 'C' is equal to perimeter of a square 'S' then
Col A: area of a square 'S'
Col B: area of circle 'C'

April 1

1. If 'x' is a positive integer.
Col A: (x)^(x)^x
Col B: (x)^x

2. Given a cuboid whose faces are painted red and the cuboid is cut vertically into 27 pieces. If the pieces are taken out after cutting vertically then how many of these 27 pieces had red color face?

3. For a product 'M' if the selling price is increased by 25% and for a product 'N' if selling price is decreased by 25%.
Col A: Cost price of product M
Col B: Cost price of product N

4. Col A: Standard Deviation of 4, 5, 6, 7, 8
Col B: Standard Deviation of 33, 33, 34, 34, 35, 35

5. Given that -1 > x > 0 and assume that x=!0
which of the following is true?
A. x^3 < x^2 < x
B. x^2 < x < x^3
C. x < x^2 < x^3
D. x < x^3 < x^2

6. Given a triangle ABC, and the angle opposite to base(BC) is 54degrees and the other two angles are given x degrees and y degrees. If a line cuts this triangle horizontally... let us assume that the line cuts the side AB at point 'D' and BC at point 'E'.
(Note: This line which cuts this traingle is some what slanting i.e the point 'D' is not the mid point of the line AB). such that a triangle ADE is formed and the angle D(
Col A: x + y
Col B: v + w

7. In the following 8 digited number............. "35687_47". What should be the value in the hundredth place such that it should be divisible by 3?

Verbal Questions - March 2008

March 31

1. Affinity

2. Innocuous

3. Nuance

4. Altruistic

5. Pervasive

6. Euphemism

7. Rhetoric

8. Prevarication

9. Metaphor

10. Boredoom


Analogies:

1. Euphemism : Offense

2. Rhetoric: Persuation

3. Prevarication : Truth

4. Metaphor : Description

5. Repetion : Boredoom

6. Concilation : Appeasement


March 28

1.Sustain

2.Bellicose

3.Unbridled

4.Profuse

5.Ponderous

6.Worldly

7.Misdemeanor

8.Discreditable

9.Isthmus


Analogies:

1.Discreditable: honorable

2.Isthmus: land

3.Misdemeanor: crime


Issue Topic:

1.How important is it on the part of universities to offer various courses to a student apart from his subjects.

2.It was related to impact of economics and communication on arts, science, and politics.


March 27

1. Covert

2. Lacerate

3. Veracious

4. Invigorate

5. Regression

6. Sop

7. Hull

8. Fix

9. Thrifty

10. Miserly

11. Grueling

12. Accolade

13. Transitoriness

14. Truss


Analogies:

1. Truss: support


Issue Topic:

1. Rituals and ceremonies help to define a culture, without them socities or group of people have a diminished sense of who they are.

Argument Topic:

1. "The following appeared in a letter to the school board in the town of Centerville. "All students should be required to take the driver's education course at Centerville High School. In the past two years several accidents in and around Centerville have involved teenage drivers. Since a number of parents in Centerville have complained that they are too busy to teach their teenagers to drive, some other instruction is necessary to ensure that these teenagers are safe drivers. Although there are two driving schools in Centerville, parents on a tight budget cannot afford to pay for driving instruction. Therefore an effective and mandatory program sponsored by the high school is the only solution to this serious problem."


March 26

1. Magniloquent

2. Likeminded

3. Facile

4. Repudiate

5. Avowal

6. Malaise

7. Encipher

8. Spartan

9. Garrulous

10. Splurge

11. Circuitous

12. Purism


Analogies:

1. Truculent: Light

2. Nugatory: worth

3. Sycophant: fawn

4. Senility:consciousness


Issue Topic:

1. Is picture more effective to communicate large group of people or language is more effective to communicate.


Argument Topic:

1.A Letter to the editor of Farming publications. It was about growing health consciousness among people. Researches tells that eating too much sugar causes ill effects and therefore their will be decrease in sugar demand in future. So the farmers in our state are suggested to grow pea nuts instead of sugarcane where peanuts are high on proteins and low on sugar. In the neighboring country Palin the farmers increased the production of peanuts, and therefore their countries revenue increased.


March 25

Today’s Words:

1.Askew

2.Perfidious

3.Skirt

4.Obdurate

5.Plethora

6.Ebullient

7.Torpor

8.Lassitude

9.Invigorate

10.Apocryphal

11.Lugubrious

12.Mishap

13.Capricious

14.Nibble

15.Authenticity

16.Yield

17.Avowal

18.Lionize

19.Isthmus

20. Torpor

21. Exonerate

22. Invigorate

23. Lassitude

24. Dissimulation


Antonyms:

1.Halcyon

2.Torpor

3.Equivocal

4.Daft

5.Exculpate

6.Mawkish

7.Incorrigible

8.Aberrant

9.Mulish


Analogies:

1.Mishap: accident

2.Hole: Perforation

3.Capricious: Fickle

4.Nibble: bite

5.Apocryphal: authenticity

6.Adamant: Moved

7.Isthmus: Land


March 24

1. Scrap

2. Retarded

3. Cacanny

4. Truss

5. Regression

6. Phlegmatic

7. Reify

8. Convivial

9. Duly

10. Ladle

11. Rivet

12. Reconciliation

13. Vivid

14. Pundit

15. Opine


Analogies:

1. Mediate: Reconciliation

2. Vivid: Inspiration

3. pundit: Opine


Argument Topic:

1. In a recent telephone survey of automobile factory workers, older employees were less likely to report that having a supervisor present increases their productivity. Among workers aged 18 to 29, 27 percent said that they are more productive in the presence of their immediate supervisor, compared to 12 percent for those aged 30 or over, and only 8 percent for those aged 50 or over. Clearly, if our printing company hires mainly older employees, we will increase productivity and save money because of the reduced need for supervisors.


March 21

1. Skimpy

2. Askew

3. Byzantine

4. Dab

5. Pulverize

6. Decrepit

7. Mettle

8. Untenable

9. Pretentious


Antonyms:

1. Extinguish

2. Hapless

3. Gainsay


Analogies:

1. Bouquet: flowers

2. He : She


Issue Topic:

1. People who work for personal life will get more benefits than the people who work for the society.
(The issue topic mentioned above is the theme of the topic given in exam...)

Argument Topic:

1. Census data indicate that the number of retired couples without children who are moving into Sophia County is steadily rising; private schools in our county report substantial increases in enrollment; and a statewide survey of parents’ shows that over 10 percent now support the idea of home schooling instead of public schooling funded by the county government. Such demographic trends suggest that our county will not have to construct new school buildings and that we can therefore decrease the budget for county-funded public schools.


March 20

1. Grim

2. Court

3. Abound

4. Castigate

5. Askew

6. Barrel

7. Lenience

8. Stark

9. Impudent

10. Brazenness

11. Archipelago


Analogies:

1. Preparation: Ready

2. Islands: Archipelago


Antonyms:

1. Abound

2. Lachrymose

3. Extinguish

4. Form


Issue Topic:

1. It is primarily through formal education that a culture tries to perpetuate the ideas it favors and discredit the ideas it fears.


Argument Topic:

1. The following appeared in a memo from the manager of television station KICK. "A nationwide survey reveals that a sizeable majority of men would like to see additional sports programs on television. After television station WACK increased its sports broadcasts, its share of the television audience in its viewing area almost doubled. To gain a larger audience share in our area, and thus increase company profits, KICK should also revise its broadcast schedule to include more sports coverage."


March 19

Synonyms :

1. Abound

2. Stark

3. Skimpy

4. Charismatic

5. Exaggeration

6. Caricature

7. Leniency

8. Robust

9. Form

10. Dissolve

11. Inane

12. Appease

13. Dwindle

14. Extol


Antonyms:

1. Askew

2. Outmoded

3. Peace

Analogies:

1. Bouquet: flowers

2. Blockage: circulation

3. Banana: peel

4. Peanut: shell

5. Experiment: discovery

6. Exaggeration: caricature

7. Jog: Exercise


Issue Topic:

1. Explain your point of view for academic, political, business social....hard work or assuming things in idealistic way.

2. It is better to have other disciplinary courses in universities to be truly educated

3. All nations should support global universities in bringing all the students together to solve the persisting social problem


Argument Topic:

1. It is about two television stations and in 1st television station the survey shows than man of Seizen city likes sports and audience increased because of broadcasting more sport program, and profit is doubled so the other that is the 2nd television station have to broadcast more sport program to make profit.

2. “A citizen wrote the following article to the newspaper”. We the citizens of Winteraly are suffering from traffic problem. The survey which is conducted 3 years ago stated that, it took 20mins for a person to travel from home to work place while the recent survey states that it is taking 40mins. The members of the council have decided to bring up new roads, but this is not beneficial as the near-by neighborhood houses could be demolished whereas the citizens of Graceville has advantage because the council members their have decided to give free gas coupons if they share their rides. Also one of my friends have told me that pollution has reduced and journey from home to work place has reduced. If the same idea is also implemented in Winteraly then it would benefit us.


March 18

1. Refute

2. Obstreperous

3. Preponderance

4. Derogate

5. Nepotism

6. Presbyterian

7. Tortuous

8. Gainsay

9. Laze

10. Mollify

11. Perturbation


Issue Topic:

1. To become an effective leader, a political official should be morally and ethically good.

Argument Topic:

1. "It is about folk therapy a new treatment alternative to modern treatments. In this therapy lavender scented pillows are used to cure chronic insomnia. Treatment about three weeks period is given....
(topic is something like this)


March 17

1. Abstain

2. Pulverize

3. Knotty

4. Thaw

5. Dab

6. Nonchalance

7. Obstacle

8. Plethora

9. Panorama

10. Exude

11. Egregious

12. Titanic

13. Lugubrious

14. Obsequiousness

15. Taunt

ANTONYMS:

1. Telling

2. Obdurate

3. Pugnacious

4. Pulverize

5. Ally

6. Perturb


ANALOGIES:

1. Parliament : Legislative


March 14

1.Exude

2.Nonchalance

3.Ameliorate

4.Obdurate

5.Pugnacious

6.Fathom

7.Telling


ANALOGIES:

1.Proxy : Vote

2.Parliament : Legislative


ANTONYMS:

1. Pulverize

Issue Topic :

1. People who are committed to idea or policy are so critical of it.

Argument Topic:

1. From past three years governor Riedeburg did many changes from time she took the charge in office, the crime rate in city got reduced, jobs got increased, many people are showing interest to live in that place and riedeburg also promised that she go to get big companies in that locality such that jobs would be increased... soon on...


March 13

1. Titanic

2. Panorama

3. Maverick

4. Intelligent

5. Bumble

6. Pulverize

7. Deliberate

8. Augmentative

9. Distract

10. Synergy

11. Entice

12. Procrastinate

13. Dust jacket


March 12

1. Thwart

2. Pellucid

3. Relegate

4. Unencumbered

5. Sordid

6. Rant

7. Penitent

8. Reminiscence

9. Intransigent

10. Upbraid

11. Obstreperous

12. Implacable


ISSUE TOPIC:

1. In any field imagination is more important than knowledge.


ARGUMENT TOPIC:

1.The following appeared in a memo from the mayor of the town of Hopewell. “Two years ago, the town of ocean view built a new municipal golf course and resort hotel. During the past two years, tourism in ocean view has increased, new businesses have opened there, and ocean view’s tax revenues have risen by 30 percent. The best way to improve Hopewell’s economy, and generate additional tax revenues, is to build a golf course and resort hotel similar to those in ocean view”.


March 11

1. Whimsical

2. Noxious

3. Supremacy

4. Preponderance

5. Pulverize

6. Superciliousness

7. Humility

8. Lachrymose

9. Reconciliation


Analogies:

1. Dust jacket : books

2. Apron : clothing

3. Lost : whereabouts

4. Mediate : reconciliation


Issue Topic:

1. The surest indicator of a great nation is not the achievements of its rulers, artists, or scientists, but the general welfare of all its people.



March 10

1. Endeavour

2. Facetious

3. Synergy

4. Bemoan

5. Vile

6. Rebuff

7. Zealot

8. Obstinate

9. Succor

10. Indelible

11. Dauntless

Analogies:

1. Fraught: Placidity

2. Inane: Significance

Issue Topic:

1. Many people know how to attain success, but few know how to make the best use of it.

March 7

1. Bellicose

2. Furrow

3. Droll

4. Inclement

5. Ostracize

6. Porous

7. Insipid

8. Pukish

9. Maverick

10. Daft

11. Complaisance

12. Abattoir

13. Unflappable


Analogies:

1. Abattoir: Butcher

2. Impervious:penetrate


March 6

1. Irk

2. Perplexed

3. Consolidate

4. Aptness

5. Contention

6. Humdrum

7. Thaw


Analogies:

1. Recant : Spend

2. Confident : Doubt


Issue Topic:

1."Science is reassuring and art is upset"


March 5

1. Hernoius

2. Dank

3. Dilapidate

4. Altercation

5. Evanescence

6. Ceaseless

7. Egregious

8. Aplomb

9. Insouciant


Analogies:
1. Avaricious: Covet

2. Vitiate: Quality

3. Senility: Consciousness


Issue Topic:

1. Money spent on research is almost always od investment, even when the results of the research are controversial

2. When research priorities are being set for science, education, or any other area, the most important question to consider is: How many people's lives will be improved if the results are successful?


March 4

1. Lofty

2. Bolster

3. Equanimity

4. Brat


Analogies:

1. Brat : Urbanity


Issue Topic:

1. In order to improve the quality of instruction at the college and university level, all faculty should be required to spend time working outside the academic world in profession relevant to the courses they teach.

2. It is often necessary, even desirable, for political leaders to withhold information from the public.


Argument Topic:

1. The following appeared in an editorial in a business magazine. Although the sales of Whirlwind video games have declined over the past two years, a recent survey of video-game players suggests that this sales trend is about to be reversed. The survey asked video-game players what features they thought were most important in a video game. According to the survey, players prefer games that provide lifelike graphics, which require the most up-to -date computers. Whirlwind has just introduced several such games with an extensive advertising campaign directed at people 10 to 25 years old, the age-group most likely to play video games. It follows, then, that the sales of Whirlwind video games are likely to increase dramatically in the next few months."


March 3

1. Unctuous

2. Whet

3. Imprudent

4. Agape

5. Debiliate

6. Callous

7. Maverick

8. Mundane

9. Vulnerable

10. Thaw

11. Disgruntled

12. Coy

13. Phenomenon

14. Oscillate

15. Shun

Quantative Questions - March 2008

March 31

1. A survey was conducted for 248 companies. In that 120 companies receive calls using a switch and 90 companies among those have voice calls facility.
Col A: The number of companies that doesn't have voice calls facility but have switch facility.
Col B: 62.

2. Given that 'P' is a prime number greater than 2
Col A: number of factors of 2P
Col B: number of factors of P^2

3. Col A: 3^(4n+2)+5 when divided by 10 leaves remainder
Col B: 4

4. Given that x & y are positive integers and x^n = y^m
Col A: n
Col B: m

5. A triangle ABC is given. A point D divides the side AB such that a trainge ADC is formed and AD/DB=1/3. If the area of the triangle ABC is r. Find the area of the triangle ADC in terms of r?

6. Given an series s1, s2, s3,.............sn and Sn+1=(1/2)Sn and s1=1/2.
Col A: s6
Col B: 2^15(s21)

March 28

1. When a square with a center c is rotated through an angle 45 degrees, it has a new center c'. If the length of the square side was given as 5, Find the distance between c and c'?

2. If x intercept of a line is 'a' and y intercept is 'b',Find the slope of that line?

3. If a triangle is given with two sides 20 each, Find the range of values of third side?

4. If 1/x + 1/x^2 = -1/4 then the value of x is?

5. Given a square of area 18sq.m
Col A: Length of the side of the square
Col B: Length of the diagonal of the square

6. If u*v*w = 595, then u+v+w?

7. Find the percentage of numbers between 100 & 299 inclusive which end with 3,4,5,6,7,8,9,(2+3^1/2)(2-3^1/2).

8. Col A: 10!+9!
Col B: 10!9!

March 27

1. Given 0 < x < 0.5 Col A: x+x^-2 Col B: x^2+ x^(-1)

2. Col A: 1 - (1/2)^2 + (1/2)^4 - (1/2)^8 Col B: 0.75

3. If u*v*w = 595. What is u+v+w?

4.Col A: 300^900 Col B: 900^300

5. There are 28 men in a room in that 14 men are selected out of which 7 are under 50 years. Col A: Percentage of men under 50 Col B: 40%

6. ColA: Mod(x+y) ColB: Mod(x)+Mod(y)

7. Col A: 2^(x^2 - 5x + 1) Col B: 2

March 26

1. If 0 < t < u < v, then Col A: Mean of t, u, v Col B: Median of t, u, v

2. Given that 'x' lies between sqrt(7) and 150/4. Col A: Number of even integers which satisfies the value of 'x' Col B: Number of odd integers which satisfies the value of 'x'

3. A: 10, 30, 50, 70, 90 B: 10, 45, 50, 55, 90 Col A: Standard Deviation of A Col B: Standard Deviation of B

4. Given x<0 Col A: x Col B: y^2

5. In a Election if 'X' gets 33*1/3% more votes than 'Y' gets and 'Y' gets 25% fewer votes than 'Z'. Col A: Number of votes received by 'X' Col B: 8% of votes received by 'Z'

6. Col A: (25^b) / 5^a Col B: 5^b

7. Given an series a1, a2, a3............ and it also mentioned that a1=25, a2 is decreased by 2 and the series goes on.. in the same manner. Col A: a100 term Col B: 10000

8. There are total 90 students, average passing students is 84 and average fail students is 60, What percentage of arithmetic mean of passing students? A)12% B)15% C)40% D)70% E)75%

9. Two points R(12,8) and T are given on xy-plane and x-intercept of T is 5 less than x-intercept of R, slope of line connecting these two co-ordinate is 2, What is the T co-ordinate?

10. There are 70 students, 48 students get more than 5 marks and 25 students get less than 10 marks so find the students who got.. more than 5 and less than 10 marks?

11. Given 3x+2y=8 and x>y
Col A: 3x+4y
Col B: 8

12. Find the area of the quadrilateral whose coordinates are (0,0), (3,0), (0,3), (7,5) ?

13. Col A: 1-(1/2)^2 + (1/2)^4 - (1/2)^8
Col B: 0.75

14. If (3/7) + (2/3) + (1/6) = x/y. What is the least possible value of x?

15. What percentage do integers from 100 to 299 inclusive of having 2, 4, 5, 6, 7, 8 and 9 digits in units place comprise of integers upto 350?

16. Given that, mean of 4 numbers is 'M' and mean of 5 numbers is 'N'. What is the mean of all the 9 numbers?

March 25

1. If 10^x - 550 < 9772. What is the least possible value of x? A. 1 B. 2 C. 3 D. 4 E. 6

2. Given a 5 number series. If 6 is the median, least number is 2 and greatest number is 9. Col A: The greatest possible value of sum of the remaining two numbers Col B: 22

3. Col A: 10!+9! COl B: 10(9!)

4. What percentage do integers from 100 to 299 inclusive of having 2, 4, 5, 6, 7, 8 and 9 digits in units place comprise of integers upto 350?

5. If ai < ai+1 and i=!0 then Col A: a5 Col B: a7

6. Given a cuboid of dimensions 20inchs, 17inchs and 12inchs. If the mass of that box is 17kg, then what is the density of the box in kg/cubic.feets.

7. In a country, the tax paid by a person is 1500 and 6% of the taxable income above 3000. If the total tax paid by a person was 4% of his taxable income, what was that persons taxable income?

8. There was a semicircle drawn over one of the side of a square, the side of square was 1 unit each Find the perimeter of that figure?

March 24

1. Col A: The remainder when 5(10^n)+1 divided by 3 Col B: The remainder when 5(10^(n+1))+1 divided by 3 2. If y = -3 then which of these is true A. y B. y^4 C. y^3 D. y^2 3. If 7, 4, 5,1, 2, 7, 4, 5,1, 2...... is the series then what is the 64th term? 4. Col A: 2/(1/3(1/3)) Col B: 2/(1/3/(1/3)) 5. Col A: 300^900 Col B: 900^300 6. If the area of the circle is given as 9pi. Find out the perimeter of the circle? 7. If 1/3 + 2/6 + 3/7 = x/y. What is the least value of 'x'? 8. Given a series S1, S2, S3,....... Sn. If S1 = 5, S2 = 7 then find S6... such that Sn = 10[S(n-1)] for 'n' divisible by 3 Sn = S(n-3) for 'n' not divisible by 3. 9. If X>1
Col A: Circumference of a circle with diameter X
Col B: Area of a circle with diameter X

10. Given... that the area of a circle as 72 and angle of sector as 130degree(this part is shaded in the figure). Find the area of the sector(shaded part)?

11. 'S' is the set of positive integers which lies between 7/3 < k^2 < 150/4 Col A: Number of even numbers in 'S' Col B: Number of odd numbers in 'S' 12. N = 5^9 + 7^10 Col A: What is the least factor of 'N' greater than 1 Col B:3 13. A survey was conducted for 248 companies. In that 120 companies receive calls using a switch and 90 companies among those have voice calls facility. Col A: The number of companies that doesn't have voice calls facility but have switch facility. Col B: 62. 14. If u*v*w=595 and if u >1, v >1, w >1. Find u + v + w?
Sol: 29

15. Col A: (sqrt(48)-sqrt(27))
Col B: sqrt(3)
Sol: C

16. Given that a triangle is inscribed in a circle and diameter of the circle is one of the side of triangle. If the side other then the diameter side is given as 5 and area of triangle is also given as 5 then find the area of circle?
Sol: 29pi/4

17. If (1/16) + (1/(x)^2) = (1/9), then find 1/x?

ORKUT QUANT DATABASE (Till 21th Mar)


Quants:

1. Given that a triangle is inscribed in a circle and diameter of the circle is one of the side of triangle. If the side other then the diameter side is given as 5 and area of triangle is also given as 5 then find the area of circle ?

2. What percentage do integers from 100 to 299 inclusive of having 2, 4, 5, 6, 7, 8 and 9 digits in units place comprise of integers upto 350?

3. Given a series of five numbers x, x^2, x^3, 1/x, x^-2 and x=0.5. Find the median?

4. Two concentric circles were given one inserted in the other, the part between the circles was shaded.
Col A: The probability of finding a point in the shaded part is
Col B: 3/4.

5. When a number 's' is divided by 9, the remainder is 1 and when it is divided by 11 remainder is 8. Find 's'?

6. A semicircle was given. If the end the angles formed by lines from end points of diameter to the circumference was given 90 and the angle between one of the chords and diameter was 'x'.
Col A: x
Col B: 45

7. If x>0 and y>0
Col a: x^4 + y^3
Col b: x^2 + y

8. Given a cuboid of dimensions 20inchs, 17inchs and 12inchs. If the mass of that box is 17kg, then what is the density of the box in kg/cubic.feets.


ORKUT QUANT DATABASE (Till 20th Mar)


Quants:

1. Given that p + t = 5h, then what is the Arithematic mean of p, t, h ?

2. Col A: 2^(-54)
Col B: 2^26 - (2^24)/(8^27) - 8^26

3. Given a right angled triangle ABC (C takes the right angle i.e CB is the base, AC is the Opposite side & AB is hypotenuse) a perpendicular bi-sector is drawn form mid point D of vertical side AC to the midpoint 'P' on slanting side AB . So that a triangle APC and trapeziod PDCB are formed.
Col A: Area of triangle APC
Col B: Area of quadrilateral PDCB

4. If 3x + 2y = 8 then
Col A: 3x+4y
Col B: 8

5. If u * v* w = 595 then u + v + w =

6. If mod(3x + 2) = 8 then
Col A: mod X
Col B: 0

7. ColA: 50% of 14% of X
Col B: 14% of 50% of X
(some other number is given in place of x)

8. There are 28 men in a room in that 14 men are selected out of which 7 are under 50 years.
Col A: Percentage of men under 50
Col B: 40%

9. Col A: Least prime factor of (factorial(7) + 7)
Col B: Largest prime factor of factorial(7)

ORKUT QUANT DATABASE (Till 19th Mar)


Quants:

1. Col A: Area of rectangle has length x and breadth y
Col B: Area of triangle has base x and height y

2. Col A: ( sqrt(48) + sqrt(27) )^ 2
Col B: 3

3. In a party of 66 members in a hotel, 40 members like dancing, 23 members like swimming and 6 members like either dancing or swimming or both. Find the number of people who likes only dancing?

4. If 1/6 +1/3 +1/9 = X/Y then what is the least possible value of x?

5. Given that 'X' is 3 years younger than 'Y' and 'Y' is 20 years older than 'Z'.
Col A: X's present age
Col B: Twice the present age of Z

6. Given a series of five numbers x, x^2, 2x, x^(-2), 3. If x = 0.2 then what is the mean of above scale?

7. ( 5*sqrt(2) - sqrt(3)) * (sqrt(2) - sqrt(3)) = ?
A. 8 + 3*sqrt(3)
B. 4 + 2*sqrt(2)
C. 5 + 4*sqrt(3)
& so on....

8. If the area of circle is 72 and angle of sector in it is 135degree then what is the sector area?
( The question appeared in exam is similar to this with some numerical changes)

9. A : 3, 3, 5, 9, 11, 11
B : 7, 7, 9, 11, 13, 13
Col A: Standard deviation of A
Col B: Standard deviation of B

10. Given area of a Rectangle as 20sq.m
Col A: Perimeter of Rectangle is
Col B: 30

11. Given an Isosceles triangle with base length 'y' and other two sides length as 'x' each. If x = 30 then range of 'y' is ?
A. y greater than or equal to zero
B. y greater than or equal to 30 but less than or equal to 45
C. y greater than or equla to 30 but less than or equal to 60
& so on....

12. In 1994, a company X profits increased by 40% and company Y profits decreased by 20%. But by the end of 1994, company X profits decreased by 20% and company Y profits increased by 40%.
Col A: Earnings of Company X
Col B: Earnings of Company Y

13. If 0 < t < u < v, then Col A: Mean of t, u, v Col B: Median of t, u, v

14. Given a cube which is cut vertically along its diagonal, and was asked to find the surface area of one of the halves?

15. Given.. if 1 < xy < 4 and 1 < y < 2 then Col A: x Col B: 2

16. Given a cuboid of dimensions 20m, 17m and 12m. If the mass of that box is 17kg, then what is the density of the box in cubic feets.

17. Given that, 26% of a community members are under 65years and 17% of that community members are above 65years. If 24% of the community members are registered voters then how many members above 65years contributed in registration? A. 2/5 B. 2/9 C. 7/11 & so on....

18. 5^9 + 7^10 = Col A: The least factor of above is Col B: 13

19. Given that, mean of 4 numbers is 'M' and mean of 5 numbers is 'N'. What is the mean of all the 9 numbers?

20. Given a circle with 7 circles inscribed in it. such that along the diameter of the bigger circle there are 3 circles and 2 up, 2 down.. i.e total 7 circles are arranged like this in that bigger circle and all the 7 circles are shaded. If the radius of the bigger circle is 'r' then find the total area of unshaded part?

21. If 'S' is the set of values of K where (7/3) < K^2 < (37.6) then Col A: Number of Even numbers in the set S Col B: Number of Odd Numbers in the set S

March 18

1. If the perimeter and area of a rectangle are given as 100m and 60sq.m then find the length of the rectangle?

2. Col A : Area of a square of side 5m Col B : Area of a parallelogram of side 5m

3. Given that u*v*w = 5995. If u, v & w are integers greater than one then find the value of u+v+w ?

4. Of all the chords passing through a given point in a circle, the least length would be of ... A. The one which is bisected at the point B. The one which is trisected at the point C.The one which is a third in length of the diameter D. The one which is half in length of the diameter

5. A tank was 80% filled with water and the dimensions of it were given. Find the number of lead balls of radius 1 that need to be put so that the volume is atleast 90 % but less than 95%.

6. Given that area of circle is 72 and angle of sector in it is 135degree. What percentage of area of circle is covered by sector area?

Match 17

1. What is the remainder of (7^0+7^1+7^2+..........7^19)/14 ?

2. Out of 10 machine tools, 2 are defective and 3 are to be selected. What is the probability that 3 choosen out of 10 are not defective?

3. Two flasks are of cylindrical shape.One flask has base area 8*pi and other has base area 4*pi.The 1st flask is filled with water upto 3 inches and 2nd flask is filled with water upto 1inch. Find the final height of water in second flask if some of the water from flask 1 is to be poured into flask2 to make both the heights equal ?

4. Col A: 10^100+2^100 Col B: (10+2)^100

5. If (1/7) + (2/3) + (4/6) = x/y. What is the least possible value of x?

6. Col A : 149! / 148! Col B: 149!-148!/ 147!

7. Given 0<1 Col A : x^2 - 1/x Col B: x- x^-2

8. If 'x' is 33*1/3 % greater than 'y' and 'y' is 25% of 'z' then express 'x' in terms of 'Z'

9. What percentage do integers from 100 to 299 inclusive of having 2, 4, 5, 6, 7, 8 and 9 digits in units place comprise of integers upto 350?

10. Given a rectangular solid with lenght 4, height 3 and breadth 3. If it is cut vertically along its diagonal, how much is the surface area of one of the halves to the total?

11. If x>0
Col A: 2^x
Col B: 2^(x)^2

12. Given a right angle triangle with base length 10m. If the angle oppposite to base is given as 20degrees. Find the hypotenuse length?

March 14

1. Given that n is a positive integer
Col A: (-3)^n
Col B: (-3)^n+1

2. If (u * v * w) = 595 then u + v + w = ?

3. Given that 'x' is a positive integer and some options were given in that.... we need to find the correct expression which yields positive even integer
Ans: x^3+3x+4

4. Find the area of the quadrilateral whose coordinates are (0,0), (3,0), (0,3), (7,5) ?

5. Col A: 1-(1/2)^2 + (1/2)^4 - (1/2)^8
Col B: 0.75

6. If 0<1 then Col A: x+(2x/3)+x/6 Col B: 5x/4

7. If mod(3x+2) = 8 then Col A: mod(x) Col B: 0

8. In an country due to acid rain fall of 1inch the cars in that city appears 70 years old, if rain fall in that year is 0.6 inches then how many years does the car look old?

9. Comparision of Standard deviation of the following numbers. Col a: 56, 76, 98, 86 Col b: 88, 72, 53, 88

10. A circle is inscribed in a Square, If the length of the diagonal of the square is 2 root(2) then find the radius of the circle?

March 13
1. Given a triangle with one angle 60degree and with a semicircle on the side opposite to the angle mentioned in the corner. If the two sides of the triangle adjacent to angle mentioned in the corner were 'x' units each then find the area of the traingle? Given the Circumference of the semicircle as 15pie?

2. A company manufactures 10000 bulbs at a cost of 0.60$. Of these 0.1% were discarded and it sold the remaining for 1.1$ each. What is the difference between its revenue and manufacturing cost?

3.Given a two figures, first figure contains a square with a circle of radius 'r' inscribed in it and the area outside the circle(within the square) is shaded . Second figure contains a circle radius of 'r' with a square inscribed in it and the area outside the square(within the circle) is shaded. Col A: Area of Shaded region in the first figure Col B: Area of Shaded region in the Second figure

4. Given two rectangular solids. If smaller one has edges of 80% of the larger ones then Col A: The ratio of smaller solid to the bigger is Col B: 66/200

5.[ 2^17 * 3^18 - 2^16 * 3^17] =

6. Given that area of circle is 72 and angle of sector in it is 135degree. What percentage of area of circle is covered by sector area?

7. If M = (2^8)(3^4)(5^2) then (2^16)(3^8)(5^4) is? A. m B. m^2 C. 2m D. m/2 E. sqroot(m)

8. There are 28 men in a room in that 14 men are selected out of which 7 are under 50years Col A: Percentage of men under 50 Col B: 40%

9. Given two circles "p" and "q" which touch each other and a line AB is drawn from center of one circle to other. Given that the area enclosed by A to the other center area enclosed by B are in the ratio 2:1. If the area enclosed by A is 'pie' then the area enclosed by B is?

10. Ann gets salary 'X'. She spends for food and rent, so that the remaining salary left is 'Y'. ColA: X ColB: X-Y

March 12

1. In a city of ‘n’ population, if 26% are registered voters, of these 24% are above 65years and rest are below 65years then how many non-registered people are aged above 65years?

2. A circle is given and there are 7 circles inscribed in that circle... such that along the diameter of the bigger circle there are 3 circles and 2 up, 2 down.. i.e total 7 circles are arranged like this.. in that big circle and all the 7 circles are shaded. If the radius of the bigger circle is 'r' then find the total area covered by all these smaller circles in terms of r?

3. Given x = 5,6,7,8,9 and y = 11,12,13,14. By selecting one from x and one from y, how many sets of distinct values we get for x+y?

4. At 8:00 total tips recieved by A & B were $57. A gave off $4 to the kithen staff and B received an additional $3. If A's total collection was 12 more than B then what was B's final collection?

5. If a line with a slope of -5/8 passses through (2,k) and (4,3) then find k ?

6. Given a parabola whose equation is given as y = x^2 + 4. If a point (1, p) lies on the parabola then what is the value of 'p'?

March 11
1. One square is given with side 5 and one rhombus is given with sides 5. It is also given that angles at the base is 60 and at the side it is 120. Col A:area of square Col B:area of rhombus

2. Given 4x + 6y = -8 - 2x - 3y = 4 Col A : x Col B: y

3. Given 0<1 Col A: xy + y Col B: yz + z

4. The integer (x - 1) is a prime number between 40 and 50. Col A: The sum of all different prime factors of x Col B: 14

5. Two distinct numbers are taken from 1,2,3,4......28. Find the probability that their sum is less than 13.

6. Given that, consider a square ABCD, if E and F are mid points of side CB and CD then what is the ratio of area of triangle AEF to area of square.

7. Given that if an average of first 5 numbers of a particular set of 12 numbers is 6 and average of all these 12 numbers is 7.5 then find the average of first 7 numbers is? a) 8.4 b) 8.5 c) 8.6 d) 8.7 e) 8.8

March 10
1. Given a set of numbers x, x^2, x^3, 1/x, x^-2 and x=1/2. Find the median?

2. Area of a circle was given & a sector was shaded and the angle of that sector is given as 135. Then asked to find the area of the shaded region?

3. Given 3x+2y=8 and x>y
Col A: 3x+4y
Col B: 8

4. A survey was conducted for 248 companies. In that 120 companies receive calls using a switch and 90 companies among those have voice calls facility.
Col A: The number of companies that doesn't have voice calls facility but have switch facility.
Col B: 62.

5. Given two sides of a triangle as 12 and 5 which are opposite to x and y angles and the length of the third side is given as 11. Then
Col a: x+y
Col b: 90

March 7

1. Given five numbers... all are positive integers... in that higest number is 9 and lowest number is 2. If 5 is the median of the numbers and arithematic mean of that series is also 5 then what is greatest possible value of the other two numbers?

2. A line was given and it makes an angle of 44 degree with negative y-axis in the 3rd quadrant. If a point on the line was given as p(x,y).
Col A : x
Col B : y

3. Col A : 9!10!
Col B :10!+9!

4. If 1/6 +1/3 +1/9 = X/Y then what is the least possible value of y?

5. In how many ways 3 couple can be seated on 6 seats, so that husband & wife sit adjacent?

6. Given a parabola whose equation is given as y = x^2 + 4. If a point (1, p) lies on the parabola then what is the value of 'p'?

7. Given that a circle C passes through points (8,0) and (0,6) then
Col.a: The diameter of the circle is
Col.b: 10

8. A man when working with his wife takes 2 hours to complete a housework and takes 3 hours when working alone, so how long would it take for his wife to complete the housework working alone?

March 5

1. If surface area of a cube is 36. Then Volume of the cube is?
Col a: volume of cube
Col b.15

2. If a person draw has 12 blue socks and 12 black socks. How many socks must be taken to get a pair of socks of the same color?
a. 14
b. 15
c. 13
d. 16

3. In how many ways can 1 professor and 5 students can be taken from 3 professors and 8 students.

4. If the area of a square is 16 and that of a rectangle is 14 then
Col A: perimeter of square
Col B: perimeter of rectangle

5. 2< x < 6 ; 3< y < 8
col A : x/y
col B : 3/4

6. Given ABCD is a rectangle with AC and BD being its diagonals. Point D lies on the circumference of a circle having radius 7 and centre at B.
Col A: Length of diagonal AC
Col B: Radius of circle


March 4

1.There are 25 positive integers and each integer is a multiple of m. If the highest value of these integers is 250 then
Col A: m
Col B: 5

2.The nearest value of sqrt(171) is?

3. Col A: |Z^2 +1|
Col B: |Z^2|+1

4. If a line passes through (w,q) and (e,w) (these two points were given with some numerical value) then find the X-Intercept of the line?

5. A circle is inscribed in a Square, If the length of the diagonal of the square is 2 root(2) then find the radius of the circle?

6. Approximate value of underroot[(2463.32)(234.3)/(2765.32)] will be
A. 5
B. 15
C. 25
D. 30
E. 50

7. In how many ways 3 couple can be seated on 6 seats, so that husband & wife sit adjacent?

8. In 1992, salary of 10 managers of a company was such that the median and mean of their salaries was equal. In 1993, the salary of highest managers increased by 10000$ keeping all other managers salary same as in 1992.
Col A : Mean of the salaries in 1993
Col B : Median of the salaries in 1993

9. Given a equilateral triangle with side 5. In diagram it was shown as ABC where A was on origin, B was on positive Y Axis and C was in I quadrant. Find the slope of BC.

10. Given a big triangle (in diagram ), suppose ABC... then it was divided into two triangles by joining point A from some point between BC (Say on point D). All angles were given Angle(DAC) = 2x, Angle(ACD) = 2x, Angle(CDA) =2x, Angle(BAD) = x, Angle(ABD) = 3x, Angle(BDA) =2x
Col A : Area of triangle ABD
Col B : Area of triangle ADC