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?