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