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)?

Quantative Questions - January 2009

January 30

1. If a person moves towards west in straight line for 6m and then to north for another 16m and then to west again for another 10m, then
Col A: The distance between starting and ending point
Col B: 16*1.414

2.

If the radius of the above two circles is 'r', then
Col A: Area of the shaded region of A
Col B: Area of the shaded region of B

3. If the Standard deviation of x, y & z is 'd', then
Col A: Standard Deviation of x+1, y+1 & z+1
Col B: d+1

4. Given a square ABCD within which another square EFGH is inserted such that 'E' lies on AB & 'F' lies on BC. If AH = 3 & HD = 2, then
Col A: Perimeter of ABFH
Col B: Perimeter of square EFGH

5. Col A: 10^30
Col B: 0.001^(-10)

6. Find the quadrant in which 3x - y < 1 lies?
A. First Quadrant
B. Second Quadrant
C. Third Quadrant
D. Forth Quadrant
E. All

7. If 3/13 < x < 4/13, then which of the following could be a possible value of x?
A. 9/26
B.14/39
C.17/52
D.19/65
& so on....

January 29

1. Given a series of numbers (-0.5)^-2, (-0.5)^-1, (-0.5)^0, (-0.5)^1, (-0.5)^2, find the range of the series?

2. If x^2 = y, then
Col A: 5x/y
Col B: x^2

3. Given a square inscribed in a circle, then
Col A: The radius of the circle
Col B: The side of the square

4. If g(x) = |x| for x < 1 &
g(x) = |x-1| for x > 1, then
find the value of g(-2)-g(2)?

5. Given a line passes through (-1, -1), (100, 101) & (x, 3), find the value of 'x'?

6. There are 10 numbers in a sequence the starting number is 5, the rest are obtained by doubling the preceeding number and subtracting 3, then what is the 4th number?

7. The approximate value of 61.19(0.98)^2/sqrt(401) is?

8. Given two points (-1, 3) and (4, 4). Find the slope of it?

9. Given three values as d1 = 2, d2 = 3 and d3 = 4, then
Col A: -2
Col B: d1(d2- d1*d3)

10. If 0.0625y =x*(2.5)/4
Col A: x
Col B: y

11. A right triangle was drawn and a square was drawn by considering each side of triangle as its side.
Col A: The area of the square formed with hypotenuse as side
Col B: The sum of two other squares

12. Given b = mod (15x+ 20y), where x and y are integers. If x, y are not equal to 0, then
Col A: The smallest positive value of b
Col B: 5

13. If k/m = m/r = 4/5 & if k = 6, then what is the value of r?

14. Col A: 10^30
Col B: 0.001^(-10)


January 28


1. If x > 1 and f(x) = 5/((3/1-x)-2), then
Col A: The value of 'x' at which f(x) is not defined
Col B: 2

2. Given a square ABCD within which another square EFGH is inserted such that 'E' lies on AB & 'F' lies on BC. If AH = 3 & HD = 2, then
Col A: Perimeter of ABFH
Col B: Perimeter of square EFGH

3. If 'x' is a negative integer, then
Col A: ( 4/3)^x
Col B: (3/4)^-x

4. The following was stated in the form of table.
In experiment 'P' there are 10 samples in which the least value(of weights) is 105 & range is 10
In experiment 'Q' there are 11 samples in which the least value(of weights) is 120 & range is 12.
Col A: The median of samples of "P+Q"
Col B: 120

5. If a > 1, then
Col A: a^2-1
Col B: a+1

6. How many four-digited odd numbers are there whose hundredth place is 6 and it is an odd number?
A. 450
B. 650
C. 950
D. 850
E.750

7. If x/2 + x/5 = 1 - x/3 and if xy = some fraction, then
Col A: x
Col B: y
(something like this)

8. If 12 < =a < =15 and a+b=5, then find the value of a-b?

9. If (x-1/x)/(1+1/x) = 99, then find the value of (x-1/x)/(1-1/x)?

10. If 'W' is the width of the rectangle and 'R' is the area of the rectangle where r > 0, then
Col A: Perimeter of rectangle
Col B: 2W+2R/W

11. If a, b & c are all positive integers numbers and if a*b*c = 66, then what is the value of a+b+c?

12. Given a figure of a triangle with vertices (5, 0), (t, 0) and (6, 4) & area was also given, asked to find the value of 't'?

13. Col A: (7^4+7^5) + (8^6+8^7)
Col B: (7^4(8) + 8^6(9))

14. A sales company, gives Rs.1800 plus 15 percent of the amount from sales to its salesman if his sales are over Rs.12000. If the salesman does a sales of Rs.x, where x>12000 then
Col A: The Amount the sales man receives
Col B: 0.15x

15. Col A: The remainder when (10^22)+1 is divided by 11
Col B: 2


January 27


1. If 3/13 < x < 4/13, then the possible value of x is?
A. 9/26
B. 17/52
C. 19/65
& so on....

2. If b = mod (15x+20y), then
Col A: The smallest possible value of 'b'
Col B: 10

3. If 2.8! + 10! = x*8!, then the value of x is?

4. If x^2 + 2x + f = 0 & x^2 + 4x +g = 0, then
Col A: f
Col B: g

5.

If the radius of the above two circles is 'r', then
Col A: Area of the shaded region of A
Col B: Area of the shaded region of B

6. Given a triangle inscribed in a circle with angles x, y & z. If x = y, then
Col A: x
Col B: z

7. Col A: 0.9999/0.9998
Col B: 1.0002/1.0001

8. If a box contains 10 machines, in which 3 are defective then find the probability that none are defective?

9. Col A: 3^(x^2 +1)
Col B: 3^(x^2+1)^2

10. Given R1 = (-1, 0, 1), R2 = (1, 1, 2) & R3 = (-3, -2, -1, 0, 1, 2, 3) and s1, s2 & s3 are the standard deviations of R1, R2 and R3 respectively.
i. s1 > s2
ii. s2 > 5
iii. s3 > 0
A. None
B. I & II
C. II & III
& so on...

11. Col A: sqrt(2) * sqrt(6) * sqrt(21)
Col B: 9

12. Col A: Median of days in February in a leap year.
Col B: Median of days in February in a non-leap year.

13. In an examination, number of marks was given like twice the number of correct questions minus number of wrong questions. If a student gets 100 marks, then
Col A: Number of question he answered correctly
Col B: 50

14. If a man covers half of the distance in 9 hours at an average rate of 35mph and if he had to cover the whole distance in 'T' hours, then what is the rate in terms of 'T' for the next half distance?

January 23



1. If f(n) = [(-1)^n]*c*n, where c is given as cost of some(xxx). If f(1), f(2) and f(3) are the similar functions and if the difference between the largest and smallest among f(1), f(2) and f(3) is 20, where c is a positive value, then
Col A: f(4)
Col B: 16


2. Col A: (2m+1)^2
Col B: (2m+2)^2


3. Given the area of the rectangle as 20 and asked to find the perimeter?


4. Col A: 3^(x^2+1)
Col B: 3^(x^2+1)^2


5. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?


6. There are 'n' number of flags and the number 'n' is odd. If the first flag is red colour and the even numbered flags are white, then what are the number of red colour flags?
Col A: Number of red flags
Col B: n/2


7. If 0 < x < 10 & y = 2x + 3 and y is an integer, then find the number of possible sets of (x, y)?


8. If 0.0625y =x*(2.5)/4
Col A: x
Col B: y

9. If consider the line 3x - y < 1, then in which quadrant the line lie?
A. First Quadrant
B. Second Quadrant
C. Third Quadrant
D. Fourth Quadrant
E. All


10. Given that a person travels in a circular path of diameter 2cm. If the total distance travelled by him is 314cm, then find the number of revolutions made by him?


January 22


1. Given 0 < x < 1, if 12x is a positive integer then
Col A: Tenths digit of x
Col B: 0

2. Col A: (7^4+7^5) + (8^6+8^7)
Col B: (7^4(8) + 8^6(9))

3. A sales company, gives Rs.1800 plus 15 percent of the amount from sales to its salesman if his sales are over Rs.12000. If the salesman does a sales of Rs.x, where x>12000 then
Col A: The Amount the sales man receives
Col B: 0.15x

4. If a person moves towards west in straight line for 6m and then to north for another 16m and then to west again for another 10m, then
Col A: The distance between starting and ending point
Col B: 16*1.414

5. If 0 < x < y < z < w < 1 and if 'w' is positive, then
Col A: x
Col B: z

6. If a, b, c, d & e are consecutive positive integers, then
Col A: Median of a, b, c, d & e
Col B: Mean of a, b, c, d & e


January 21


1. Col A: 0.9999/0.9998
Col B: 1.0002/1.0001

2. Given a line 'M' in xy-plane and if does not intersect the line x = y, then
Col A: Slope of the line 'M'
Col B: 0

3. Find the quadrant in which 3x - y < 1 lies?
A. First Quadrant
B. Second Quadrant
C. Third Quadrant
D. Forth Quadrant
& so on...

4. If the Standard deviation of x, y & z is 'd', then
Col A: Standard Deviation of x+1, y+1 & z+1
Col B: d+1

5. If x > 1 and f(x) = 5/((3/1-x)-2), then
Col A: The value of 'x' at which f(x) is not defined
Col B: 2

6. A person has 'W' kg of grains for one week to feed some iguanas. If each iguana consumes 'x' kg per day then
Col A: Number of iguanas
Col B: 7w/x

7. Given that there are 10 bulbs in a box. If two bulbs of them are defective, then find the probability that in three successive draws you get undefected bulbs (without replacement)?

8. If 8! + 10! = 8!*x, then find the value of 'x'?

9. Given a figure of right angled triangle inscribed in a circle and the area of right angled triangle is given & asked to find out the area of circle?

10. If k = 10^(2) - 10^(-2) + 2^(-2) - 2^(-2), then the value of k is closest to which integer?

11. If 0 < x < 10 & y = 3x + 5, then the number of ordered pairs of 'x' for which 'y' is an integer is?

12. Given that lines 'k' and 'm' intersect at (1, 1). If 'k' passes through (0, a) and 'm' passes through (0, b) & if the given slope of 'k' is less than 'm', then
Col A: a
Col B: b

13. There are some toys and some crates and when these toys are equally distributed in the crates none are left. If there are 3 less crates, then each crate consists of 12 toys with 27 toys left. Find how many toys were there?

14. The remainder when 23 is divided by n is 2, then
Col A: n
Col B: 8

15. If (4/2)*(5/3)*................(y+2)/y = 12, then find the value of y?

16. If we move towards west in straight line for 6m and then to north for another 16m and then to west again for another 10m, then what is the distance between starting and ending point?

17. If -1 < k < 1 and -2 < 2m < 4, then
Col A: k
Col B: m

18. Col A: The remainder when (10^22)+1 is divided by 11
Col B: 2

19. Col A: (3^-10) + (3^-9) + (3^-9)
Col B: 3^-9

20. If u > 1, v > 1 & w > 1 and if u*v*w = 595, then find the value of u+v+w?


January 20


1. A person's draw has 14 blue socks and 14 black socks. How many socks must be taken to get a pair of socks of the same color?
A. 13
B. 14
C. 15
& so on....

2. If N = 5^9 + 7^10, then
Col A: What is the least factor of 'N' greater than 1
Col B: 3

3. 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%

4. A line passing through (5,5) touches x-axis and y-axis at (x,0) and (0,y) respectively.
Col A: x
Col B: y

5. Given a diagram of a triangle with three angles x, y & z. If x > 90, then
Col A: x
Col B: y + z

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

7. If 'r' is an integer & 't' is an odd integer, then
Col A: The remainder when (r+t)(t+1) is divided by 2
Col B: 1

8. Given that ‘r’ is a three digit number such that it contains ‘x’ in its hundredth place, ‘y’ in tens place, ‘z’ in units place. If Nr(N subscript r) is defined as’ x’ is multiplied by 9, ‘y’ is multiplied by 6 and ‘z’ is multiplied by 2 and the sum of these three products, then what is the value of the N735 (N subscript 735)?
A. 72
B. 79
C. 86
D. 91

January 19


1. Given that there are six teams in quiz and their respective scores are 31, 24, 14, 10, 43 & 47 and there are 5 judges for this quiz. What is the minimum number of teams which must get 7 or more than 7 score from any one of the judge?

2. A sequence 'S' has the terms x1, x2, x3, x4, x5, x6...... after the first term, each term is half the previous term. If x2 + x4 + x6 = 42, then what is the value of x1 + x3 + x5?

3. A cylinder 'm' of height 2 and radius 3 is given. Now another cylinder 'k' of double the height of previous one and double the radius of previous one is given.
Col A: Double the volume of 'm' cylinder
Col B: volume of cylinder k

4. How many four-digited odd numbers are there whose hundredth place is 6 and it is an odd number?
A. 450
B. 650
C. 950
D. 850
& so on...

5. If the probability that it rains on day 1 is 70 % and on day 2 is 40% whether it rains on first day or not, then what is the probability that it neither rains on day 1 nor on day 2?
A.92%
B.28%
....so on

6. If 'k' is any positive integer, then
Col A: The remainder when 5(10^k)+1 is divided by 3
Col B: The remainder when 5(100^k)+1 is divided by 3.

7. If 0 < x < y < z and if 'y' is a multiple of 5, then
Col A: The Remainder when 'x+y+z' divided by 5
Col B: 0


January 16


1. The cost for printing is given by an equation $ = (0.12c+20p), where 'c' is the number of copies and p is the number of pages.
Col A: Printing cost of 400 copies having 8 pages each
Col B: Printing cost of 800 copies having 4 pages each

2. Given that a person travels in a circular path of diameter 2cm. If the total distance travelled by him is 314cm, then find the number of revolutions made by him?

3. How many four-digited odd numbers are there whose hundredth place is 6 and it is an odd number?
A. 450
B. 650
C. 950
D. 850
& so on...

4. Two cyclists are moving towards each other at 10 miles/hour. They are now 50 miles apart. At this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other. If the fly is moving at 15 miles/hour, what is the total distance covered by the fly?

5. When 't' is divided by 9, the remainder is 1 & when it is divided by 11, the remainder is 8. Find the value of 't'?

6. Given a triangle with angles x, y & z and is inscribed in a circle. If two angles of triangle 'x' and 'y' are equal, then
Col A: x
Col B: z


January 15


1. If x < 0, then
Col A: x^2+1
Col B: x(x+1)

2. Given two lines which are perpendicular to each other. If the equation of one line is y = 1/10x + 6, then what is the equation of second line?

3. Col A: (7^4+7^5) + (8^6+8^7)
Col B: (7^4(8) + 8^6(9))

4. If 'n' is a least number in five consecutive positive integers, then what is the average of these 5 integers in terms of n?

5. Given a triangle with three of its sides given as 10.5cm, 4.5cm & 5.6cm and three angles as x, y & z. then
Col A: y+z
Col B: x

6. There are 3 containers named p, q & r each contains an amount of sugar in the following ratios. If the amount of sugar present in container 'p' is 1/3rd of 'q' same as 2/3rd of 'r', then what is the ratio of (R+Q) to R?

7. Given a diagram with two of its angles given and asked to find the third angle?
(something like this)


January 14


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

2. Last year, 1/4 of factory workers are architects. one year ago 60 workers newly joined in which 50 are architects and no one left the factory since last year and if now 1/3 of factory workers are architects then find the total number of workers?

3. Given a square with a circle inscribed in it and the radius of the circle is 'r'.Another circle is given with a square inscribed in it and the radius of this circle is also 'r'. What is the ratio of area of smaller circle to area of larger circle?

4. If k-3 is multiple of 5 and k+2 is multiple of 3 then what is k^2?
A. 16
B.13
C. 4
& so on...

5. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col A: What is the probability that the 7th student is a girl
Col B: 2/7

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


January 13


1. If S = 7^0 + 7^1 + 7^2 +........ + 7^20, then
Col A: The remainder when 'S' is divided by 14.
Col B: 1

2. Given that two lines k, l pass through a point (1, 1). If 'k' also passes through (0,a) and 'l' also pass through (0, b), then
Col A: a
Col B: b

3. If 3/13 < x < 4/13, then which of the following could be a possible value of x?
A. 9/26
B.14/39
C.17/52
D.19/65
& so on....

4. Given 2/3 of the plates are stained, 1/2 of them are scratched and1/3 are both scratched and stained.
If 80 plates are clean without scratch or stain, then find the total number of plates?

5. If 0.0625y =x (2.5)/4
Col A: x
Col B: y

6.

Given a figure like above. Find the value of x?

7. Given a series x, w, y, z, 0, 1, 1, 2, 3. If each number is the sum of previous two numbers, then what is the value of x?

8. If 'n' is a negative integer, then
Col A: (4/3)^-n
Col B: (3/4)^n

9.

A right triangle was drawn and a square was drawn by considering each side of triangle as its side as the figure above.
Col A: The area of the square formed with hypotenuse as side
Col B: The sum of two other squares

10. A triangle with angle x, y, z was inscribed in a circle. If two angles 'x' and 'y' are equal, then
Col A: x
Col B: z

11. Which of the following lines has slope 2/3?
A. 4 = 2y - 3x
B. 5 = 3y - 2x
& some more options......

12. If consider the line 3x - y < 1, then in which quadrant the line lie?
A. First Quadrant
B. Second Quadrant
C. Third Quadrant
D. Fourth Quadrant
E. So on....

13. If 0.8/5 = 1/n, then find the value of n?

14. The students were given two sets of questions; they can mark either yes/ no or can leave it as unanswered. If 1000 people were asked, for first question if
400 answered YES
340 answered NO &
260 left unanswered and for second question, if
450 answered YES
310 answered NO &
240 left unanswered,
then, find the minimum number of people who gave unanswered option for both questions?

15. If x > 0, then
Col A: 2/x
Col B: x/2

16. If x = -2 + y & y < 0, then
Col A: x^2+lxl
Col B: x^2+x

17. If there are 8 apples in a bag; 2 red and 6 green, then
Col A: Total number of ways of choosing 2 red apples out of 8
Col B: Total number of ways of choosing 6 green apples out of 8

18. Col A: 8!/(2!*6!)
Col B: 8!/(6!*2!)

19. An equation of a line is given as 24y + 16x - 8 = 0. If a line parallel to above, have one of its points as (0,0), then find the equation of that line?
Ans: 3Y + 2X = 0 (Given by examiner)

20. If f(n) = [(-1)^n]*c*n, where c is given as cost of some(XXX). If f(1), f(2) and f(3) are the similar functions and the difference between the largest and smallest among f(1), f(2) and f(3) is 20 where c is a positive value, then
Col A: f(4)
Col B: 16
(Something like this)

January 12


1. If a < 0 < b < c, then
Col A: ac/b
Col B: ac

2. Given two sets of data K1 & K2 as {1, 2, a} and {1, 2, 1}, where 'a' is an integer which is not equal to 1.
Col A: Standard Deviation of K1
Col B: Standard Deviation of K2

3. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?

4. If x1, x2, x3, x4 and x5 belongs to a series such that xn= n{[(-1)^n] -1}, then what will be the difference of the largest and the smallest term?
(Here 1, 2, 3, 4, 5 & n are suffixes)

5. Given a line 5x - y - 3 = 0 with slope 'L' and other line 5x + y + 3 = 0 with slope 'm'
Col A: L
Col B: M

January 9


1. If x^2 + 2x + f = 0 & x^2 + 4x + g = 0, then
Col A: f
Col B: g

2. If 0 < x < 10 and y = 2x + 3, then find the number of possible sets of (x, y)?

3. Given a line with y-intercept and asked to find x-intercept?

4.

Given a circle inscribed in a square and a square inscribed in a circle like above. If the radius of two circles is 4, then
Col A: Area of the shaded region of first figure
Col B: Area of the shaded region of second figure

5. Col A: 8c2
Col B: 8c6

6. The slope of the line 5 = 3x + 2y is…………………….

7. Col A: Standard Deviation of 22, 23, 24, 25, 26 & 27
Col B: Standard Deviation of 222, 223, 224, 225, 226 & 227

8. If 6.8! + 10! = 8!*x, then find x?

9. Given ‘n’ is a positive integer. When ‘n’ is divided by 7 remainder is 3, what is the remainder when 2n-1 is divided by 7.

10. Given two circles of equal size and the distance between their centers is 12. If the two circles coincide each other & distance between their edges is 4, then find the area of any one of the circle?

January 8


1. If the Arithmetic mean of 20 numbers is 12 and Arithmetic mean of 10 numbers is 6, then what is the combine arithmetic mean?

2. If x > 0, then
Col A: 2^-x
Col B: -2^x

3. Given that a solid has 1 red color on one of its face and the probability of getting red is 1/8. When is it tossed twice, what is the probability of getting red always?

4.

Given a figure like above.
Col A: a + b + c
Col B: 180

5. Given -1 < x < 1 and -2 < 2y < 4
Col A: x
Col B: y

6. Given diameter of a circle as 2ft and the person travels around the circumference of the circle. In that manner if travels 324fts, how many revolutions it takes?
A. 70
B. 60
C. 50
D. 40
E. 30
(Something like this)

7.

Given a figure like above. Find the value of x?

8. A Jose plans to travel 500 to 600miles and the petrol costs 0.90$ to 1.20$ per gallons. If the car travels an average of 22 to 24miles per gallon, then how much have to be spent for petrol for that trip.
A. 22$
B. 23$
C. 27$
D. 27.50$
& so on…

9. Col A: 25% of 75
Col B: 25/99 of 75

10. Given a right angle triangle with its sides ‘2x’ & ‘x’ respectively. If the hypotenuse and perimeter of the triangle is given some value, find the value of ‘x’?
(Similar to this)

January 7


1. If -8 < = x < = 10 & x + y = 4, then find the least possible value of xy?

2. Given that there are two concentric circles, if the radius of larger one is 3 more than the smaller one then find difference in their circumference?

3. Given that a Train A is traveling on a straight track at a constant speed of 90km/hr & train B is traveling on a straight track at a constant speed of 50km/hr
Col a: distance traveled by train A
Col b: distance traveled by train B

4. Given a function f which is defined for each positive three digit integer 'n' as f(n) = (2^x)*(3^y)*(5^z), where x, y and z are hundreds, tens and units digits of n, respectively. If m and v are three-digit positive integers such that f(m) = 9f(v), then what is the value of m - v?
A. 8
B. 20
C. 19
& so on.......

5. Given |x| = |y| & xy < 0
Col a : x+y
Col b : 0

6. When 'n' is divided by 7 remainder is 3, then what is the remainder when (2n-1) is divided by 7.( 'n' is a positive integer)

7. If 2.8! + 10! = (n)*8!, then what is the value of n?

January 6


1. Col A: 2x-3y
Col B: 3x-2y

2. There was figured question in which a house is given with length and breadth of rooms also given and then asked to find the remaining ones.
(something like this)

3. Given b = mod (-15x+ 20y), where x and y are integers. If x, y are not equal to 0, then
Col A: The smallest positive value of b
Col B: 5

4. In the coordinate geometry, if a line passes through the points (-11,-21), (20, 22) & (x, 2) then what is the value of x?

5. What is the value of 10^2 - (1/10^4) + 2^4 - (1/2^4)?

6.

Given a figure like above. Find the value of x?

ORKUT QUANT DATABASE (Till Jan 5th)


1. Given a right angled triangle. If the length of the side opposite to 90degrees is k+6 and opposite to 30degrees is 2k-3, then find the value of k?
(similar to this)

2. A price of product 'x' is increased by p% to give new price 'y' and then price of 'y' is reduced by r% to give original price.
Col A: p
Col B: r

3. Given that area of a square as 9 and that of a rectangle as 8.
Col A: Perimeter of square
Col B: Perimeter of rectangle

4. A group of 1 professor and 3 students have to be made from 4 professor and 5 students
Col A: Different ways in which the groups can be formed
Col B: 40

5. What could be the equation of the line, if the slope is -2/3 and the x and y cordinates are (0,0)?
(something like this)

6. If 8! + 10! = (8!*x), then what is the value of x?

7. Find the slope of the line 5 = 3x + 2y?
(Something like this )

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)

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?

Quantative Questions - February 2008

February 29

1. A rectangle was given, in it another rectangle was inscribed touching two of the sides of larger rectangle. If the larger rectangle length minus smaller rectangle length is 1cm & larger rectangle breadth minus smaller is 1 cm, then find the perimeter of smaller rectangle?

2. What is the nearest integer of root 171.
A.12
B.11
C.13
D.14
E.17

3. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?

4. Given 'xy' not equal to '0' and 'x' not equal to 'y' and x+y=0
Col a: x-y
Col b: 0

5.Given that, there are fives houses which are to be painted. There is a choice of three colors, and one house will be painted with a single color. In how many ways can the houses be painted?

6. x is an integer such that x > 2
Cola: number of even factors of 2x
Colb: number of odd factors of 3x

7. Find the percent increase in area of a rectangle, if length is increased by 10% and breadth is decreased by 5% ?

8. Given that.. if a Person had sold a Television set for $800, he would have made a 20% profit. Instead, he sold it for a 30% loss. At what price was the Television set sold?

February 28

1. If a number is divided by 13 the remainder is 1 and if the same number is divided by 15 it gives a remainder of 8. What is the number?
A.14
B. 29
C. 40
D. 44
E. 53
Sol: E

2. Col a: root 7 - root 6
Col b: 1

3. Given 2
Col A: xyz
Col B: 2

4. Given a triangle ABC(which looks like a right angle triangle) such that the hypotenuse AC = 10, Base BC = 13 and Opposite side AB = 8
Col A: Angle B
Col B: 90

5. A shopkeeper had T bananas. He sold 60 bananas on the first day at $0.40. If he wanted to sell the remaining bananas on the second day and earn the same total as the previous day at what price should he sell them each?

6. If B purchases x shares for c dollars. Then how many shares B can purchase for d dollars for the same price of 1 share?

7. Out of 10 shirts, 2 are defective. 3 are selected. what is the probabiltiy that none is defective?

8.N^3-N is divisible by which of the following number?
A. 4
B. 5
C. 6
D. 7
E. 8

February 27

1. Given a = wx^2y and b = wxy^2. If w=x=y, then
A. a is greater
B. b is greater
C. Both are equal
D. None

2. Given a series of five numbers i.e n+10, n+20, n+30, n+40 and n+50 and Arithematic mean of the series is given as 100.
Col A: Standard deviation
Col B: n
(Question type is similar to this)

3. Find the nearest possible value of Sqrt(171)?

4.If w>0 , z>0 then
Col a: w^4 + z^3
Col b: w^2 + z

5. Two concentric circle were given . A tangent to the smaller circle cuts the larger one into 2 points 'P' and 'T' , if radius of smaller circle is 2 and larger circle is 5, then what is the length of 'PT' segment ?

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
E) sqrt3

7. Find the unit digit of the (3127)^173.


February 25


1.Given a circle with radius 4 and a chord of length 4 was drawn. Find the length of the smaller arc of the circle made by the end points of the chord.

2. If 1, 5, 6, 8, 9 are five given numbers. 't' is a three digit number formed using three of the above mentioned numbers only once and 'r' is a two digit number formed using two of the above numbers once, what is the smallest possible value of 't-r'?

3. If p and q are prime numbers and pq=15 which of following numbers are divisible by either p or q? Some options were given.....

4. Given A1=2 , An+1=(An-1)^2. Find a17?

5. If x<0 s =" {1,2,3,4,6,8}" t =" {1,2,3,6,8}." t =" P" style="font-weight: bold;">February 22

1. Given a circle, P and Q are the two points made by 2 tangents on the circle and they meet out side the circle at R, angle PQR is 60 and the area of the minor arc OPQ is 27pi. Find circumference of the circle. Sol: 18pi

2. W kg feed is sufficient for all dogs for 1 week. If single dog is fed X kg feed twice daily, then Col A: Total number of dogs Col B: W/7X Sol: B

3. Col A: (10^-2)x Col B: (10^2)x^-1 Sol: D

4. 4(14^10)(7)^2 = Sol: 14^12 \

5. The simplified expression of (a+b)^2-(a-b)^2 is Sol: 4ab

6. Given a Hexagon in 'xy' plane and asked to find the area of the Hexagon?

7. Given an equation x+3y+1=0 Col A: Slope of the line Col B:-1/2 Sol: A

8. 30% of the members of G are in H, 20% of the members of H are in G. Col A: Members in G Col B: Members in H Sol: D

9. Given five numbers like this....... n, n+20,n+30,n+40,n+50 and Arithematic mean is also given(some value) (Question is something like this) Col A: Standard deviation Col B: n

10. Given two sides of a triangle as 6 and 5 which are opposite to x and y angles and the length of the third side is given as 8. Col a: x+y Col b: 90

11. A triangle was given which looked like a right angled triangle, but it did not have the 90 degree sign rather.. all the angles were labled x , y and z and question was which of the following must be true... A. (a)2 + (b)2 = (c)2 B. Sum of two side is greater than the other side & some other options were given...... Sol:

B 12. Given -6<= x<= 4; -10<= y<= 4 What is the greatest value of: -x^2+ y^4 Sol: 10,000

13. K, L, M are 3 prime numbers greater than 10. Col A: number of factors of KLM and 1 inclusive col b: 8

February 21
1. Given k and n are two points which are on the same side of 0 in the number line. Col a: k+n Col b: 0

2. Col a: square root of 35 Col b: 6

3. Given a triangle with sides AB, BC & CD. Find the perimeter of the triangle? (Question is something like this..)

4. If a number is divided by 13 the remainder is 1 and when the same number is divided by 15 the remainder is 8. What is the number?

5. Given |x| = |y| & xy<0 style="font-weight: bold;">February 19
1. If slope=1/2 & y=-1/3, then Col A : x-intercept is Col B: -2/3.

2. A circle is inscribed in a square of side 's'. Col A: perimeter of circle Col B: perimeter of square

3.Col A:(1/8)/2 Col B:4

4. If X+Y=0, then Col A:X-Y Col B:Y-X

5. If X<2y>X+3 then X=?

6. In a co-ordinate system, if sides of a triangle are (0,0),(8,0) & (8,6) then find the perimeter of triangle?

7. Given a triangle ABC as a right angled triangle, if one of the angle is 45 degrees and AC is hypotenuse then
Col A: AB
Col B: BC

8. In a bag there are 10 balls, in which 5 are red, 3 are green and 2 are blue. If randomly two balls are taken then what is the probability that the two balls taken are blue?

9. Given a square which is inscribed in another square & length of the side of larger square is 4 and smaller square is 2. If four edges of the smaller square is joined with four edges of larger square by a line ( to say exactly.... a line from the midpoint of larger square side(edge) is joined to the midpoint of smaller square side... similarly the other sides the two squares are also joined) by this..... 8 trapeziums are formed (2 trapezium per side). Find the perimeter of any one trapezium?
A. 4+(1.414)
B. 4+2(1.414)
C. 6+(1.414)
D. 6+2(1.414)
E. 6+4(1.414)

10. If a company X has 50 employees out of which 36 members are getting above $36,500 salary then
Col A: median of salaries of 50 employees
Col B: $36,500.

11. Find the nearest possible value of Sqrt(131)?

February 15

1. Given.... p, q, r are prime numbers.
Col A: Factors of pqr (including) pqr and 1
Col B: 8

2. Given a series a1 , a2 . . . . . If an+1 = (an - 1)^2 - 1 and a1 = 2 then find a17?

3. A square edges are increased by 0.1 inch and if the increase in the area is 0.75 then what is the original edge of the square?
A.3.8
B 3.7
C 3.6
D 3.5
E. 3.4

4. There was a diagram of quadrilateral (like trapezium), two base angles were given as 45 degree & upper 3 sides were given of length x. Find the perimeter of that quadrilateral?
A.(4+root(2))x
B.(4+2*root(2))x

5. A Triangle was given with sides 5 ,6 and 8. Angle opposite to side 5 is 'x' and angle opposite to side 6 is 'y'.
Col A: x+y
Col B: 90

February 14

1. Given a circle with radius 4 and a chord of length 4 was drawn. Find the angle made by the chord with the center of the circle?
A. 2pi/3
B. 4pi/3....
& some more options like this..

2. There are 3 couples and 6 seats are available. In how many ways can the couples be seated so that the husband and wife occupy the adjacent seats.
A. 18
B. 24
& some more options...

3. A triangle with lengths 2x+5, 6-x and 5x+5 is given. Find the perimeter of the triangle?

4. Given a circle inscribed in a square, and measurements are not given.
Col a: The perimeter of the square
Col b: Circumference of a circle

5. Find the nearest possible value of Sqrt(171) ?
A. 13
B. 14
& some more options were given.

February 13

1. There are 25 positive integers and each integer is a multiple of m. Highest of these integers is 250.
Col A: m
Col B: 5

2. Given a triangle with its sides labelled as X, Y, Z. Question is each of the following is true EXCEPT
a.Angles make 180
b.X^2+Y^2=Z^2
c.X>Y+Z
d. something....

3. Scott bought x number of things at 50$, y number of things at 100 $ where y is greater then x.
Col A: Mean of X and y
Col B: 50

4. If a>0, then
Col A: |a-8|
Col B: |a|-|8|

5. If a sum of 2000$ was given at rate of 'r' for 1 year on simple interest and at the end of 1 year.. if 150$ was the interest then find value of r?
a. 0.75
b. 0.50
c. 0.075
d. 0.10

6. A semicircle was given with area =2pie. Find the perimeter of the semicircle?
Ans: 2pie+4

7. |x|<= 6, |y|<=4. Col a: The maximum value of |y/x| Col b: 1 8. x^2 + y^2 =7 Col a:x+y Col b:x-y 9. If Perimeter of circle is equal to perimeter of square then find ratio of their areas? 10. Given (m-n) = 4 & m, n are positive integers. Col A: (-1)^m Col B: (-1)^n February 12
1. Given a series a1 , a2 . . . . . If an+1 = (an - 1)^2 - 1 and a1 = 2 then find a17?

2. A square edges are increased by 0.1 inch and if the increase in the area is 0.75 then what is the original edge of the square? A.3.8 B 3.7 C 3.6 D 3.5 E. 3.4

3. Given.... p, q, r are prime numbers. Col A: Factors of pqr (including) pqr and 1 Col B: 8

4. There was a diagram of quadrilateral (like trapezium), two base angles were given as 40degree & upper 3 sides were given of length x. Find the perimeter of that quadrilateral? A.(4+root(2))x B.(4+2*root(2))x

5. A Triangle was given with sides 5 ,6 and 8. Angle opposite to side 5 is 'x' and angle opposite to side 6 is 'y'. Col A: x+y Col B: 90

6. Given two points A (x1,y1) & B (x2,y2) such that x1y2 COl A: Slope of line AB Col B: 0

7. There is a triangle which has all acute angles. If two sides of a triangle are given as 3, 4 then find the range of the third side x?

February 8

1. Given two sets of numbers 3,3,3,7,3,3,3 and 5,3,2,6,1,3,5. Which of the following is equal for the two sets? A. Mean B. Median C. Mode D. None

2. x < y < z Col a: xy Col b: yz

3.There are two printers 'p' and 'q', printer 'p' prints 3600 pages in 'x' seconds and printer 'q' prints 3600 pages in 'y' seconds. How pages does it can print in 1sec if they work together?
Ans: 3600/x + 3600/y

4. Given an series of numbers.... Col A: The standand deviation of the series Col B: The range of the series

5. Given 5 symbols... &, &, *, *, $. Find the number of different ways these five symbols can be arranged?

6. x^2 = 36; x(x+6)(x+8) = 0; Col A: x Col B: 0 Ans: B

7.Given |x| = |y| & xy < 0 Col a : x+y Col b : 0

8. A circle has two tangents at points A and B. They meet at point C outside circle...angle ACB is 50 col A : angle AOB col B : 110 Ans: A

February 7

1. Given a circle with center 'O' & radius 4. Two tangents are drawn from a point 'S'.... on to the circle at points 'P' and 'R' and joined to 'O'. Find the area of the arc 'POR' if the angle between the two tangents is given as 60degrees.

2. Given a triangle with 8,6,5 as sides. If two angles opposite to 6 and 5 are given as x, y then Col a : x+y Col b: 90

3. Given a Rectangular cylinder with volume 1200. If the height of rectangular cylinder is 12 times more than its radius then find the radius of the cylinder?

4. If x=85, then Col A : cube root of x Col B : 5.3

5. If #n = (n-1)(n-2)(n-3), then the value of #1+#2+#3+#4 is?

6. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32. Col A: Measure of angle of Q Col B: 90

7. Given xy =! 0, x =! y and x+y=0 ( '=!' means not equal to) Col a: x-y Col b: 0

8. F(x) = X^2 Col A: f(x)+1 Col B: f(x+1)

9. Given a fraction '2/7'. What is the 57th decimal of the fraction?

February 6

1. Col a: Area of circle with radius '8' Col b: 3/2 (area of square whose digonal length is 8)

2. 33 1/2 % of 40% of 600 is what % of 160?

3. Train A is traveling on a straight track at a constant speed of 50 km/hr & Train B is traveling on a straight track at a constant speed of 100km/hr. Col a: distance traveled by train A Col b: distance traveled by train B

4. Given a semicircle.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

5. A square was given and another square was formed by joining mid points of the square. If perimeter of larger square was given k. Col a: perimeter of smaller square Col b: k/2

February 5

1. 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 Ans: E

2. Given a two figures, first figure contains a square with a circle of radius of the circle is '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

3. If 2n+1 is the median of seven consecutive integers . What is the mean of the integers? Ans: 2n+1 4. N divided by 7, leaves remainder of

4. N^2 +5 divided by 7, remainder is? Sol:0

5. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32. Col A: Measure of angle of Q Col B: 90 Sol: A

6. Given xy$gt;0 & yz<0.>0 & y>0
B. yA<0>0 & z>0

7. A person sells 1000 articles at no profit and no loss. If he sells each item after 1000 articles at 0.5$, then he gets a profit of 'P'$. How many such articles did he sold?
A. 2P+1000
B. P/2 +1000.

options are like this.....

8. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32. Col A: Measure of angle of Q
Col B: 90
Sol: A

9. Given 6 symbols...... * , * , ? , ? , ? , $. How number of codes that can be formed from left to right using these 6 symbols... such that repeation is not allowed?

10.There was a ladder given. The ladder is of length 5 and it is displaced i.e slanted downwards such that it falls 'x'mts in height and its horizontal length increases by 'y'mts.
Col A: x
Col B: y

11. M^2 = 4^x+4^x+4^x+4^x. What is the value of M?

Quantative Questions - January 2008

Till January 31

1. x < x^3 < x^2
A. -3/2
B. 3/2
C.-1/2
D.1/2
Ans : -1/2

2. Given a triangle ABC, AD is altitude and D is point on BC. Which of the angles are greater than 90?
A. Angle A
B. Angle B
C. Angle C
D. none of these
Ans: none of these

3. Given that 5(2^2 - 2^n)>20
Col a: n
Col b: 4
Ans: D

4. A man invites 7 people to party of which 3 of them are close friends and 4 are miscellaneous, he presents 2 gift after the party , find the probability of getting 2 gifts to his close friends?

5. If 3 is multiplied by 10 and 3 is added to the result..........and if this process is continued up to ten digits….like 3
3 3
3 3 3
3 3 3 3
.......... so on till 10 digits
Find the sum of all 3's in 100th place?

6. There was series from 1 to n & n is odd... then randomly select a number. Find the probabilty that the number will be odd?

7. Given a fraction 2/7, what is the 57th digit after decimal?
Ans is 5

8. (x - 1/x)/(x +1) = 99. Find (x - 1/x)/(x-1) ?

9. X and Y are positive integers and X-2/10 = Y
Col A: Units digit of Y
Col B: Tens digit of X.

10. Given a two figrures, first figure contains a square with a circle of radius of the circle is '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

11. If 2n+1 is the median of seven consecutive integers . What is the mean of the integers?
Ans: 2n+1

12. Col A: (5-1/4) square+(5+1/4)square
Col B: 50
Ans: A

13. The slope of line XY is given as -1/2.
Col A: X intercept of Line
Col B: Y intercept of Line.

14. There is a code to be made of length of 5 in which it consists of 3 alphabets and 2 digits from 0 to 9. The alphabets 'a,e,i,o,u,y' are not allowed in the alphabets, so how many codes can be made.Repeatitions is allowed in both alphabets and numeric.
Sol: 20*20*20*10*10

15. If q*r^2 <450 and q and r are prime numbers greater than 3. What is the maximum possible value of r?
A. 5
B.11
C.17
D.13


Till January 30

1. If 7n is a multiple of 4 then how many values of 7n lie between 45 and 75?

2. Column A: The number of even numbers from 1 to 100... whose squares are also within the given range(1 to 100) is
Column B: the number of odd numbers from 1 to 100... whose squares are also within the given range is

3. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
Sol: A

4. If x>0
Col A: (2x)^0+(2x)^1/(2x)^2+(2x)
Col B: 1/x

5. There is a square with side "S" on one of its side there exists a triangle such that side of the square is equal to base of the triangle. if the area of the square is equal to area of triangle then find the height of the triangle in terms of "S"

6. x and y both are on the same side of 0 in number line.
Col A: x + y
Col B: |x+y|

7. In a rectangular co-ordinate system point ( 5,5) is equidistant from pt (x,0) and pt (y,0)
cola : x intercept
col b: y intercept

8. 0.158/ 0.358 =
similar question is asked... but with numerical changes....


Till January 29


1. Given xy>0 & yz<0. Which of the following options are not possible?
A. x>0 & y>0
B. y<0 & z<0
C. y>0 & z>0


2. Given a point (-2,3) which lies on xy plane. What is the x-intercept?

3. (3^x) + 1/ (3^x) = ______ . What is the least possible value of the equation?
A. 0
B. 1
C. 2^(1/3)
D. 3^(1/3)

4. Given there are M oranges, N apples and M+N plums.
Col A: Ratio of apples to oranges
Col B: Ratio of plums to sum of oranges and apples

5. Given a line with points -4, -3, -2, -1, 0, 1, 2, 3, 4. If the points -4, -3, 0, 1, 2, 3, 4 are labeled with alphabets A to G.... then the Mean of these labeled numbers is how much less than median of these labeled numbers?

6. A person sells 1000 articles at no profit and no loss. If he sells each item after 1000 articles at 0.5$, then he gets a profit of 'P'$. How many such articles did he sold?
A. 2P+1000
B. P/2 +1000.
options are like this.....

7. Given a figure with a square of side 's' and triangle is on this square with its base as the side of the square(the figure looks like .....a triangle placed on the square...but not on the top of the square...... on the bottom side of the square, and this side is considered as triangle base). If the area of triangle = area of square, then find the altitude of triangle in terms of 's' ?

8. Given a line passing through (3,3) and origin. Find the equation of that line?

9. Find (1/16)th% 25?

10. Given (m-n) = 4 & m, n are positive integers.
Col A: (-1)^m
Col B: (-1)^n

11. -8<= n<=10, m+n=4. Find the least possible value of mn?
a. 0
b. -32
c. -140

12. Five numbers are given in options and was asked to find out the number divisible by 3?

13. Given a cuboid is with volume of 18 cubic foot and length 6 inches and was asked to find the out front side area (that means (h*b)..)

14. Given two equations (x^2) - 36=0 and (x^2) - 2x - 48=0 . Find x?


Till January 28


1. If the Median of 7 consecutive even numbers is 2n+2, then what is the Mean of these numbers?
Sol: 2n+2

2. A person sells 1000 articles at no profit and no loss. If he sells each item after 1000 articles at 0.5$, then he gets a profit of 'P'$. How many such articles did he sold?
A. 2P+1000
B. P/2 +1000........& ...... so on
....... option were like this

3. Given x-intercept as '3' and y-intercept as '3' . Find the line Equation?
A. x/3 - y/3 = 1
B. 3x + 3y = 1
C. x/3 + y/3 = 1
D. x/3 + y/3 = 0

4. x^2 = 36; x(x+6)(x+8) = 0;
Col A: x
Col B: 0
Sol:B

5. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
Sol: A

6.Given a two figures, first figure contains a square with a circle of radius of the circle is '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

7. Given 6 symbols...... * , * , ? , ? , ? , $. How number of codes that can be formed from left to right using these 6 symbols... such that repeat ion is not allowed?

8. m(square)+n(square)=17
Col A : m+n
Col B: 5
Ans: D

9. If surface area of a cube is 36. Then Volume of the cube is?

10. Given x<0
Col A: (x-3)(x-4)
Col B: (x-3)^2



Till January 24

1.Col A: 1\(-3)^4
Col B : (-3)^4
Ans: B

2. Given four numbers in series each number is greater then previous one by 5 and when added result should be 111. What's the sequence?
Given 4 options.... question is something like this

3. Given A = (9,9,10,11,11)
B = (8,9,10,11,12)
Col A: standard deviation of A
Col B: standard deviation in B

4. When a number is divisible by 3 then the sum of all its digits is also divisible by 3. Find a number divisible by 3 from the options.

5. m(square)+n(square)=17
Col A : m+n
Col B: 5
Ans: D

6. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7
Ans: C

7. A price of product x is increased by p% to give new price y and then price of y is reduced by r% to give original price.
Col A: p
Col B: r
Ans: A

8. If area of a square is 'x' and that of a rectangle is 'y', then
Col A: perimeter of square
Col B: perimeter of rectangle


Till January 23

1. M = 4^x+4^x+4^x+4^x. What is the value of m^2?

2. 1/2-root3=?

3. Given a square with a circle inscribed in it and the radius of the circle is 'r'. Another circle is given with a square inscribed in it and the radius of this circle is also 'r'.
Col A: Area of a circle inscribed in square
Col B: Area of a circle in which square is inscribed

4. Find the total number of diagonals of hexagon?

5. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?

6. Given x < y < z
Col A: xy
Col B: yz

7. If surface area of a cube is 36. Then Volume of the cube is?


Till January 22


1. When a number is divisible by 3 then the sum of all its digits is also divisible by 3. Find a number divisible by 3 from the options. This was the Question given ......

2. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90

3. In a company, they decided to give a code to each.... and every employee need to have it. The code would be having first four alphabets from 'a' to 'z' but it should not be 'a' , 'e' , 'i' , 'o' , 'u' & 'p' and last three digits can be any from 0 to 9. If the numbers can be repeated then the total number of codes that can be generated from these digits is?

4. x and y both are on the same side of 0 in number line.
Col A: x + y
Col B: |x+y|

5. Given a square with a circle inscribed in it and the radius of the circle is 'r'.Another circle is given with a square inscribed in it and the radius of this circle is also 'r'. What is the ratio of area of smaller circle to area of larger circle?

6. Given a figure with a.... 12 sided polygon drawn inside the circle. Find the each interior angle?

7. Col a: /-2x+1/
Col b: /-2x/+1/



Till January 21


1. Given a triangle of two equal sides and the angle between them is 60 degree. If a semicircle whose arc length is '50pi' is drawn on the side opposite to 60 degree. Find the perimeter of triangle?

2. Given a tank with 'g'gallons of liquid which is present at 1'clock. If a pipe of 'X'litres/min was inserted into the tank and another pipe of 'Y' liters/min was inserted as an outlet pipe at the same time, then at what time the tank was (g/2)gallons?

3. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0
Ans: C

4. A plane was flying from city 'M' to 'P' whose distance was 500 miles. While traveling from M to P it traveled at a speed of 500miles/hr and during the return trip it traveled at a speed of 400 miles/hr.
Col A :The average speed of the trip is
Col B : 450miles/hour

5. If (101, 202) , (-1,Something number) and (x,3) are three points on a line then find the value of x?

6. Two cyclists are moving towards each other at 10 miles/hour. They are now 50 miles apart. At this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other. If the fly is moving at 15 miles/hour, what is the total distance covered by the fly?
Ans: 37.5 miles

7. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18

8. |x-7|<2 and y<0
Col A: xy
Col B: 9



Till January 18


1. Compare the standard deviation of the following numbers.
Col A: 9,9,10,11,11
Col B: 6, 8,10,12,14
Ans: B

2. There are six special characters like ^, &, *, $, @, %. How many different patterns can be formed using all six characters. Given that repeation is not allowed.
Ans: 720

3. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7
Ans: C

4. 0.3187/15.92
Ans: 0.02

5. A triangle was given whose perimeter was 32 and two of its sides were given as 12 & 13. (Question was given like this..... they had shown a right angled triangle in figure but did not marked angle as right angled it was marked as X. Side opposite to it was marked as 13 and one of the adjacent sides was given as 12.
Col A : X
Col B : 90

6. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18

7. A rope of length x is cut into two halves. One of the length exceeds the other by 5
Col a: length of the shorter one
Col b: x-5


Till January 17

1. There is a triangle which has all acute angles. If two sides of a triangle are given as 3, 4 then find the range of the third side x?

2. 5(2^n-1)=20
Col A: n
Col B: 4

3. There was a ladder given. The ladder is of length 5 and it is displaced i.e slanted downwards such that it falls 'x'mts in height and its horizontal length increases by 'y'mts.
Col A: x
Col B: y

4. Given a square with a circle inscribed in it and the radius of the circle is 'r'. Another circle is given with a square inscribed in it and the radius of this circle is also 'r'.
Col A: The difference in area of the first square and circle
Col B: The difference in area of the second square and circle

5. -8<= n<=10, m+n=4. Find the least possible value of mn?
a. 0
b. -32
c. -140

6. m(square)+n(square)=17
Col A : m+n
Col B: 5
Ans: D

7. Col A : sqrt ((2x-5)square + 5) ('x' value is given some range..)
Col B : 2

8. If [{x-(1/x)} / (x-1)] = 100, then find [{x-(1/x)}/(x+1)] ?

9. Compare the standard deviation of the following numbers.
Col A: 9,9,10,11,11
Col B: 6, 8,10,12,14

10. If 20 men can do a work in 10days... working 4hrs a day, then how many days will 10 men take to complete the same work ..... provided if they work 6hrs a day?(All the values mentioned in this Question are assumed values).


Till January 15

1. There are six special characters like ^, &, *, $, @, %. How many different patterns can be formed using all six characters. Given that repetition is not allowed.

2. Two shelf T and S are given. If 3 books from S shelf are replaced to T shelf then the number of books become equal. If 7 books from T are replaced to S shelf then 3 times books in T is equal to S. What are the total number of books?

3. Diagram was given of a square WSRT, from W vertex it is rotated 90 counterclockwise. The square so formed is WTR'S'. (Consider that W is in the left down vertex). Find how much distance does R has traveled if the side of the square is 2.(Question is something like this)
a. 2
b. 4
c. pie/2
d. 2root(2)/pie

4. Col A: |-x-y|
Col B: x+y

5. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?

6.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d

7. Given xy is not equal to 0
(x)^-1 - (y)^-1 = (xy)^-1
Col a: x-y
Col b: 1

8. If there are 'c' cartons and each carton has 'x' boxes which is being loaded in a truck in 'h' hours and 't' minutes.
Col a : The average time for loading the 'x' boxes of all cartons
Col b: cx / (h+t/60)

9. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0

10. 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 ?


Till January 14

1. Given a series -9, 10,-11, 12,-13..... ,here all odd numbers are negative and all even numbers are positive.
Col A: the sum of the series(no's) till 100 is
COl B: XXX(some number)

2. Given a regular polygon with 12 sides.Find the measure of each angle?
Question is something like this....

3. |x-2|<1 and y<0 Col A: xy
Col B: 3

4. Given a fraction 20/7. What is the digit at 57th decimal place of the given fraction value?

5. 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 triangle? Given Circumference of the semicircle as 15pie.

6. Find (x-2)^2 - (x-5)^2

7. What is the value 20% of 25% of 678?

8. There was a circle to which two tangents were dropped and these tangents meet each other at a point outside the circle making an angle 'x'degrees, with center 'O' which is extended to both the tangents.If the Angle at center 'O' is 65 degrees then What is the value of x degrees?

9. Given that a Square is inscribed in a circle and the diameter of circle is equal to diagonal of square.If the radius of the circle is given as 'x' then find the area of square?


Till January 11


1. Given A1, A2, A3,......An,... is a series such that An= An - An-1, for 2>n. If A1= -5, A2= 4, find the sum of first 100 numbers of the series?

2. Given a triangle RST, RS = 4 & ST = 3 and the angles at R,S,T are less than 90 degrees. If TR = y then the range of y is?

3. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7

4. Train A is traveling on a straight track at a constant speed of 60 km/hr & Train B is traveling on a straight track at a constant speed of 100km/hr
Col a: distance traveled by train A
Col b: distance traveled by train B

6. Given a four sided Polygon is with 4 angles x, 2x, 3x, 4x. Find x?
Ans: 36

7. Find the value of 0.01590/30.10....

8. Given two figures one is....a circle with radius 'r'.. inscribed in a square, and other is a square of diagonal 'r' inscribed in a circle.
Col a: Area of shaded region in figure A
Col b: Area of shaded region in figure B

9. Find (1/16)th% 25?

10. In a triangle ABC, Angle B+Angle C =90.
Col a: side AB
Col b: side CA
Ans: D


Till January 10

1. Given a number '2/7'.Find the fifty seventh number after the decimal point


a.2
b.8
c.5
d.7
e.1
Ans: 5

2.

Given a circle with center ‘T’ and ‘CTO’ as the diameter. If the line’s’ is a tangent to the circle, then find the angle ‘SOT’? Ans: 45 degrees

3. A line segment 'AG' was given.'AG 'is divided into equal parts (with equal distance)... Actual figure is like this…….. A line with A, B, C, D, E, F, G points on the line segment with equal distance between them. If the value at point A is
-2.4 & value at end point G is 10.8, then find the value of 'E'?
Ans: 6.4

4. Given xy is not equal to 0 and x is not equal to y and x+y=0
Col a: x-y
Col b: 0
Ans: D

5. If 3 is multiplied by 10 and 3 is added to the result..........and if this process is continued up to ten digits….like 3
3 3
3 3 3
3 3 3 3
.......... so on till 10 digits
Find the sum of all 3's in 100th place?

6. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?

7. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18

8. When a number is multiplied by 13, it will become greater to 105 by an amount with which it is lesser to105 by now. What is the number?
Ans: 15

9. Given x
Col A: xy
Col B: yz


Till January 9

1. Given xy is not equal to 0 and x is not equal to y and x+y=0
Col a: x-y
Col b: 0
Ans:D

2. The average height of 4 players is 6 feet and 6 inch. If the shortest one is of height 6 feet and 3 inch. What could be the height of the longest person.(Given 1 foot = 12 inches)
Question is similar to this.... with some numerical changes

3. Given 1 kilometer is 0.62 miles.. so how many kilometers is 50 miles?
Ans: 80.64km

4. If there are 'c' cartons and each carton has 'x' boxes which is being loaded in a truck in 'h' hours and 't' minutes.
Col a : The average time for loading the 'x' boxes of all cartons
Col b: cx / (h+t/60)

5. If x< x^3< x^2.Then the value of 'x' is
a. -3/2
b. -1/2
c. 0
d. 1/2
e. 3/2
Ans: b

6. If m= 4^x+4^x+4^x+4^x, then what is m^2?
Ans: 4^2(x+1)

7. If a plane takes 't' seconds to cover a distance of 'y'km. Then how much time is required to cover 'x' distance(in HOURS)? Question is similar to this.... with some numerical changes.
Ans: (x*t) / (3600*y)

8. Given two figures..... one is a circle inscribed in a square and other is a square inscribed in circle. If both have a common radius 'r' then find the area of the two? (Its a comparison question)

9. Find the area enclosed by the region in square units described by 0<=X<=5 and 0<=|y|<=8
1)40 2)80 3)160 4)120


Till January 8

1. The series in which a1= 3 ... and an = a(n-1)+3 (here n-1 is the suffix)
Col a: a100(here 100 is suffix)
Col b: 240

2. There is a series of odd numbers from 1 to n where n is a odd number. What is the probability that a number selected at random will be an odd number?

3. Col a: (3^-8 ) - (3^-9)- (3^-9)
Col b: 3^-9


Till January 7

1. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?

2. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18

3. A group of 1 professor and 3 students have to be made from 4 professor and 5 students.
Col a: Different ways in which the groups can be formed
Col b: 40
Ans: C

4. Given -14, -11, -7 , 9, 10,13.... is the series
I. Median is greater than mean
II. S.D is greater than range
III. Mean is greater than median
A.1 only
B. 1 and 2 only
C.1,2 an 3 only
D. None of these

5. Col A: [(2+ sqrt(3)) / (2 - sqrt(3)]^3
Col B: (10^6 / 3^6)
Ans:A

6.There is a bag which contains ribbons of lengths 8m and 14m. If the total length of all threads is 100sq.m.
Col A: number of threads of length 8m
Col B: number of threads of length 14m
Ans: D

7. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?

8. Given that a Square is inscribed in a circle and the diameter of circle is equal to diagonal of square and radius of the circle is also given and the question was asked to find the area of square?
Question is something similar to this......

9. Given a semicircle and there was a triangle inscribed in it, such that the base of triangle is same as diameter of circle.The other side of triangle was on the curve of a circle(it made 90 degree) and question was asked to compare the other angle with 45.
Question is something like this....


Till January 4

1. If 'n' is a odd number then n^2 -1 is a multiple of
a. 8
b. 12..... etc..
Ans: a

2. Given x+y=43 and x, y are positive primes. Then
Col a: xy
Col b: 86
Ans:B

3. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?

4. Which of the following option has got both mean and median same
a)x,x+a,x+22
b)x,x/a,x/2a
c)1/x........

5. Col a: (0.4)^0.5*(0.4)^0.4
COl b: (0.4)^10

6. Given a square with its side 'X'(some value) and another square is inscribed in this square, and it is also given that the distance between inner square and outer square is 'Y'(some value). Find the area of inner square?
Question is something like this............

7. What is the value 20% of 25% of 678?

8. Col a: /-2x+1/
Col b: /-2x/+1/

9. If P(A) and P(B) are two independent events then the probability of occurring both the events together is?

10. Given an equation y^2-2y-3=4 and the roots of this equation were also given and was asked to find the roots of (x-2)^2-2(x-2)-3=4

11. Given a bag which contains threads of lengths 8m and 14m. If the total length of all threads is 100sq.m.
Col A: number of threads of length 8m
Col B: number of threads of length 14m
Ans: D

12. Given... a square inscribed in a circle with its radius 'r' then Find the area of the square?

13. Given three points p, q, r as (1,4) (2,c) (4,8) and if the value of c is greater than 4
Col a:pq
Col b:qr

14. For any positive integer value, which of the following expression is equivalent to [(x^2 * y) + (y^2 * x)] expression.
a.x^2*y^2
b.xy+(2x+y)
c.x^2+y

15. If A's speed is 50 km/h and B's speed is 55 km/h. If 'A' covers a distance 'x' in 5 hours, then how much time will 'B' take to cover the same distance.

16. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?

17. Given a series like this.............5-2x, 5-x, 5, 5+x, 5+2x.
Col A: standard of the given series
Col B: the greatest value in the given series

18. If d < a < b and d < c
Col A: d+c
Col B: a+b

19. If the amount of an an material has decreased from 4950 to 3495. What is the percentage decrease of that material?

20. If k-3 is multiple of 5 and k+2 is multiple of 3 then what is k^2?
A. 16
B.13
c.4

21. If 7n is a multiple of 4 then how many values of 7n lie between 45 and 75?

22. There was a circle to which two tangents were dropped and these tangents meet each other at a point outside the circle making an angle 'x'degrees, with center O which is extended to both the tangents. Angle at center O is 65 degrees. What is the value of x degrees?

23. If x>0
Col A: (2x)^0+(2x)^1/(2x)^2+(2x)
Col B: 1/x

24. Given a line equation. Which of the following is a parallel line to the given line
Options: ............
Question is something like this........

Hint: This is an optional based question.. check the 4 options for the same slope as the given line


Till January 3

1. Given... a square inscribed in a circle with its radius 'r' then Find the area of the square?

2. Given Speed in km/hr...whats the speed in miles/sec?

3. |x+3|<5
Col A: x
Col B: -8

4. Given Mean marks of seniors in a class is 92 and of juniors is 88 then
Col A: Combined mean of seniors & Juniors is
Col B: 90

5. F(x) = X^2
Col A: f(x)+1
Col B: f(x+1)
Ans: D

6. |x-3|=5
Col A: (4-x)^2
Col B: (4+x)^2

7.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d

8. Given an equation x/7+w/28=1
Find the number of positive integer solutions for this equation?

9. Given a figure like Rhombus with its area 40 and one of its diagonal is given as 8. Then what is the length of other diagonal is?
Ans: 10

10. Another question on ... equation of speed .


Till January 1

1. x < y < 0
Col a: xy
Col b: y-x
Ans: D

2. Given x>100 rounded off value of

2-1/x
--------- is
2+2/x
a. 2
b.1
c.3
d.5
Ans: b

3. Given Points (-5,-7) and (3,-4) lie on the line, if point (x,13) lies on the same line, find x?

4.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d

5. When 't' is divided by 9, the remainder is 1 and when it is divided by 11 remainder is 8. Find 't'?
Ans:19

6. Col A: 1/ (0.01)^-10
Col B: 1/10^-20
Ans: B

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

8. A number 'N' is a 3 digit positive number. If 'X' is its hundredth digit & 'Y' is its units digit then the number 'N- 100X-Y ' will be divisible by which one of the following number.
a)3 b) 4 c) 5 d) 7
Ans: C

9. n is +ve number.....x is units digit of 7^n and y is units digit of 3^n
Col a: x-y
Col b: 0
Ans: D

10. Given Marks in each subject should not exceed 100. Juniors average and seniors average on final exam were given some values like XX and XX. Find the total average on final exam of both .(its a comparison question)

11. How many values does 3 mod x-2<9 has??

12. A rope of length x is cut into two halves. One of the length exceeds the other by 5
Col a: length of the shorter one
Col b: x-5

13. Which pair have their Arithmetic mean and median equal
l. x,x+1,x+2,x+3,x+4
II. x,2x,3x,4x,5x
III. 1/x,2/x,3/x,4/x,5/x

14. X purchases n bottles for total XX.Rs and Y purchases 2n bottles for total XX.Rs
Col a :Amount by which X 's amount exceeds Y per bottle
Col b :5/n
(question is something like this...... so you can try this problem with some assumed values)