Quantative Questions - June 2009

June 30

1. There are 90 cows which are either white or brown or a combination of white and brown. If 55 of them are white or partially white and 75 are brown or partially brown, then how many of them are completely white?

2. Given an isosceles right angled triangle of perimeter . Find its area?

3. Given volume of two cubes ‘A’ and ‘B’ as 1728 cubic.mts and 13824 cubic.mts
Col A: The ratio of their surface area
Col B: 1/2
(Similar to this)

4. Given the mean of 18 numbers as ‘m’ and standard Deviation as ‘s’. If two numbers among 18 numbers are equal to m, then
Col A: Standard Deviation of rest 16 numbers
Col B: s

5. The value of 1/(1/9 + 1/9 + 1/9) is ….?

6.On a sales of $250,000, if a person gets a commission of $6000 which is 5% of profit, then what are his earnings, if his commission is 3% of profit?

June 26

1. What is the value of

2. In a survey, if atleast 40% had 1 dog, atleast 40% had 1 cat and 30% had none, then what is the ratio of people who have one cat and one dog to those who have one dog?

3. How many even integers have squares between 37 and 621?

4. Given a list of 12 numbers which are positive and even. If their sum is 50, then
Col A: Range of the twelve numbers list
Col B: 20

5. In n>10000, then
Col A: Thousand's digit of n/8
Col B: 7

6. In a distribution of 8500 parameters, if 26.7 is 56 percentile and 37.1 is 78 percentile, then what is the percentile of x (26.7 x 37), that is closest in this range?
A. 1888
B. 4750
C. 6650
& so on....

7. Given 2 < a < 4 < b < 10. If the average of 3, 6, 9, a, b is 6, then Col A: a - b Col B: 4 8. Given 'N' as a positive integer, such that when it is multiplied with 3/5 and resultant is divided with 7/10, it equals which of the following option? A. N x (6/7) B. N/(5/2) & so on... 9. Given two circles that are concentric having radii 2 and 5. If the tangent to the smaller circle intersects the bigger circle at ‘S’ and ‘T’, then what is the length of ‘ST’? 10. If slope of a line L1 is -2 and L2 is ½, then what is the angle between the lines? 11. If 0 < a < b < c, then Col A: b/a Col B: c/b 12. Given a triangle with three sides a = 4, b = 3 and c = 6 Col A: Angle between the sides a and b Col B: 90 13.If the sides of a parallelogram are 16 and 10, then Col A: The area of parallelogram Col B: 155 14. If probability of receiving a bust tone is 1/3, then Col A: The probability of not receiving a busy tone, when tried 4 times Col B: 1/4 16.The value of (5x>4) +2 (5 – 8 + 3) is …………

17. Col A:(-36)49
Col B:(36)-49

18. If x>0, then
Col A:
Col B:

19. If t2= -3(2t + 3), then find the value of t?

20. Category Number of students
Elementary school 5
Junior school 4
High school 17
College 9
If total number of students is 35, then
Col A: Probability that a student chosen randomly will not cross junior school
Col B: probability that a student chosen randomly is from college

21. Given slope of a line as 2.5 and point on the line as (30, 50).
Col A: y-intercept
Col B: xxx (some value)

22. If x1, then
Col A: 1/(2x+2)
Col B: 2x+2

23. Given a square of side 5 and centre C. If it is rotated by 45 in clockwise direction about a corner with forming a new centre is C*, then
Col A: CC*
Col B: 5/

24. Given two isosceles triangles A and B having two equal sides as ‘1’ and angle between these equal sides is ‘x’ for triangle A and ‘y’ for triangle B. If x>y,
Col A: Area of triangle A
Col B: Area of triangle B

25. Given a circle with a point inside it, such that its maximum distance from the circumference is 11 and shortest distance from circumference is 5. Find the radius of the circle?

26. If ‘x’ is an integer and x1, then
Col A: Standard Deviation of {1, 2, x}
Col B: Standard Deviation of {1, 2, 1}

27. Col A: Standard Deviation of 12, 10, 30, 35, 40
Col B: Standard Deviation of 30, 50, 20, 10, 60

June 23


1. There are 90 cows which are either white or brown or a combination of white and brown. If 55 of them are white or partially white and 75 are brown or partially brown, then how many of them are of mixed colors?

2. If a * b = ab + 5, then which is greater?
Col A: -1*(2*3)
Col B: (-1*2)*3


3. If the perimeter of a fence is 12 sq.cms, then Col A: Area of the fence, if it is of square shape
Col B: Area of the fence, if it is of circular shape


4. Col A: |a+8|
Col B: |a|+7

5. Given the mean of 18 numbers as ‘m’ and standard Deviation as ‘s’. If two numbers among 18 numbers are equal to m, then
Col A: Standard Deviation of rest 16 numbers
Col B: s

6. The value of is ….?

7. If xn-1 = n + 1, for n = 1 to 5 and if x4=15, then what is the value of x5?

8. If (n # a) = , then
Col A: (16 # 4)
Col B (16 # 3)

9. If Perimeter of a square is , then what is its area?

June 19

1.Col A:
Col B:

2.

What is the value of x?

3.What is the value of ?

(Options given in the form of decimal values)

4.If standard deviation of set of numbers x1, x2 , x3 is ‘S’, then what is the standard deviation of the set, when each number is multiplied by a constant number?
A. Standard Deviation doubles
B. Standard Deviation reduces by half
C. Standard Deviation remains same
D. Standard Deviation multiplied by given constant number
& so on…….
(Question is similar to this)

5.Col A: Volume of the cylinder of radius 3m and height 4m
Col B: Volume of the cylinder of radius 4m and height 3m

6.


Col A: x
Col B: 60°

7.If a person travels from ‘S’ to ‘t’ of 240km in 4hrs and then from ‘t’ to ‘r’ of 480km, find the average speed of the person?

June 17

1.If 22 miles requires 1 gallon of fuel costing $1.1, then what is the cost to travel ‘x’miles?
A.0.05x
B.1.0x
C.1.2x
& so on…….
(something similar to this)

2.

Col A: Sum of Area of the square A and Area of square B
Col B: Area of square C

3. Given a set of numbers 6, 8, 12, 14, x. For what value of x, will the standard deviation be minimum?
A.0
B.10
C.20
D.28
E. 32

4.

Find the area of AEFCD?

5.If h2 = 4, then
Col A: h
Col B: 0

6. If a person’s weekly salary is $350. If 16% of his annual volume is from his tips and if he gets $700 annually in the form of tips, then what is his annual income?
(Similar to this)

7.Given a line equation 3x – 2y = 34. What is the equation of the line perpendicular to the given line and passing through (0, 0)?