AUGUST QUANT

ORKUT QUANT DATABASE (Till Aug 29th)

PS: If you find any mistakes please report here.


1. If a/b @ c = (a/b) / c then (7/3) @ 4 =?

2. Col A: 100! / 99!
Col B: (100! – 99!) / 98!

3. Given three points a, b, c. If a, b lie on the same line and if all these three points are at same distance between each other, then
A. None of the points lie on the same plane.
B. Only one point lies on the plane.
C. Two points lie on the plane.
D. More than two points lie on the plane.
E. None of the above.

4. Given a series -9, 10, -11, 12, -13. . . . . . . . . . .80
Col A: sum of first 27 numbers
Col B: -22

5. If 100 < Y
Col A: 2y
Col B: 400

6.

As in above figure a, b and c are three angles & it is given that RQ is parallel to NO and PQ is parallel to MN.
Col A: a
Col B: b+c

ORKUT QUANT DATABASE (Till Aug 28th)



1. If N is an odd and negative integer and it is a product of ten different integers.
Col A: no. of odd integers used in the product to get N
Col B: no. of negative integers used in the product to get N

2. Given a figure of combination of two triangles, in which first triangle contains 90, x, y degree angles and second triangle contains 90, z, w degrees. Which of the following conditions must be true?
I. x - w = z - y
II. x + y = w
III. z = 90 - w
A. I only
B. II only
C. I and III only
& so on....

3. Given a sequence -9, 10, -11, 12, -13, 14, -15..... Find the sum of first 40 integers in sequence?

4. If n > 1 then
Col A: (-1)^(4n-3)
Col B: (-1)^(4n-2)

5.

If all the seven circles are shaded like above then what is the area of unshaded region?

6. The standard deviation of the series 3, 7, 9, 13, 17 is?

7. Col A: 77!/78!
Col B: 87!/88!

8. If 2^n > 10^15n then which of the following options satisfies the condition
A. 30
B. 45
C. 60
D. 75

9. If x, y are the prime numbers greater than 10, then which of following must be even?
A. (x^2)*(y^2)
B. x^2 + x*y
C. 2*x*y + x
& so on....

10. Given a line in xy-plane with slope k = -3 & the points are (2, k), (-3, m)
Col A: k-m
Col B: -15

11. The approximate value of ((61.16)(.98)^2)/sqrt(401) is
A. 5
B. 4
C. 3
D. 2
E. 1

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

13. There is a junior and senior team who has taken tests. The average of junior team members who have taken tests are 88 and the average of senior team members is 92
Col A: the average of senior and junior team
Col B: 90

14. When a number is divided by 12, the remainder is 5. What is the remainder when the square of that number is divided by 8?

15. If the selling price of a product is 25% lesser than its list price and 40% greater than its cost price, then what is the list price of the product if the cost price = 30 ?

16. 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?

17. When 'w' is divided by 14, the remainder is zero. If 'w' is three lesser than it value and when divided by 15, its remainder is 14. What is the value of 'w'?

18. If RST is isosceles triangle with RS = ST and P be a point on the side RT, then which of the following conditions must be true:
i) SP < ST
ii) SP < RT
iii)SP < PT

ORKUT QUANT DATABASE (Till Aug 27th)


1.

If ‘D’ is the mid point of EC and if the area of circle is 4pi, then what is the area of the triangle ABC?

2. If l2x + 49l < 13 then
Col A: x^2
Col B: 9

3.

If the above polygon has all sides equal, then
Col A: AD
Col B: AF+FE

4. Given a line in xy-plane with slope k =-1/2 then
Col A: x-intercept
Col B: y-intercept

5. If the median of a seven number sequence is 2n+2 then find the Arithmetic mean of that sequence?

6. Col A: 100!/99!
Col B: (100! - 99!) / 98!

7. If x – y = 1 then
Col A: x^2 – y^2
Col B: 0

8.

As the shown in the figure, the diameter of the inner circle is 6ft and the difference in the radii of inner & outer circle is 1ft. Find the area of the shaded region?

9. Given that the room numbers of a floor are numbered from 101 to 550. If particular rooms are selected of numbers that start with 1, 2, 3 and lasts with 4, 5, 6 then in how many such ways the rooms can be selected?
(Given question is similar to this)

10.

Given area of the shaded region of the circle (whose centre is ‘o’) as some (XXX) value and asked to find the radius of the smaller circle?

11. A parallelogram diagram is given whose length is 9 and breath is 6 and the angle between the breadth and length is given as ‘x’ degrees (x degrees is greater than 90).
Col A: Area of the parallelogram
Col B: 50

12. Given 'k' and 'm' as two numbers whose LCM is 'km' & 'm' and 'n' are two numbers whose LCM is 'mn'. If k, m, n > 0 then
Col A: LCM of 'k' and 'n'
Col B: 'kn'

13. Given that the average salary of n employees is 32000, average salary of another different group of n-1 employees is 33000
Col A: The average salary of 2n-1 employees
Col B: 32500

14. A toy manufacturer company manufactures 20,000 toys and exports ¾ and 1/10 and donates some (xxx) value for charitable trust. Find the number of toys left in the company?

& Few more previous database questions……

ORKUT QUANT DATABASE (Till Aug 26th)


1. A sequence is given from -8. . . . . .184 this sequence is got by adding 3 to the previous
Col A: n
Col B: 65

2. If 150 < y< 300 then
Col A: 2y
Col B: 400

3. If (63)^n is divisible by 3^16 then
Col A: n
Col B: 7

4. What is the value of {1 / (2 - sqrt3)} = ??

5.The approximate value of ((61.16)(.98)^2)/sqrt(401) is
A. 5
B. 4
C. 3
D. 2
E. 1

6. If N = (-2)^x, where x is a negative integer and if 'm' is a number which is the difference between the highest possible value of N and the least possible value of N?
Col A: m
Col B: 3/4

7. Given a series -9, 10, -11, 12, -13. . . . . . . . . . .80
Col A: sum of first 27 numbers
Col B: -22

8. There are 35 females in a club having an average age of 'f', and there are 45 males in a club having an average age of 'm'. If 'f' is greater than 'm' then
Col A: Average age of all 80 members
Col B: (f+m)/2

9. (Root(28)/root(112) ) – (root(7)/root(112))
A. 1/16
B. 4/3
C. 1/4

10. There are rooms from 101 to 550 inclusive in which the starting rooms are numbered from 1, 2, 3 and the waiting rooms are numbered from 4,5,6. What is the probability that the rooms 4, 5, 6 will be choosed randomly?

11. If 1 < a < 2, 3 < b < 4, 5 < c < 6
Col A: ab/c
Col B: 1/6

12. If 2^n > 10^15n then which of the following options satisfies the condition
A. 30
B. 45
C. 60
D. 75

13. In the pack of plates, 1/3 of plates are damaged , 2/3 are cracked and 1/3 of them are damaged and cracked and 80 are not hampered then what is the number of total plates?

14. Given two triangles, one triangle inserted in another as above. The vertices of big triangle is ABC & smaller triangle i.e. the inner triangle is PQR such that AB//PQ and AC//PR. Given angle A is y degrees, angle R is z degrees & exterior angle of A is x degrees.
Col A: x
Col B: y+z

15. If the mean of 10, 20, x is equal to the median of 10, 20, x then what is the value of x?

16. If A1, A2, A3, A4 and A5 belongs to a series such that An= n{[(-1)^n] -1}, then what will be the difference of the largest and the smallest term?
A. 4
B. 6
C. 8
D. 10
E. 12

& Few previous database Questions.........

ORKUT QUANT DATABASE (Till Aug 25th)


1.

If AB = BC, CI = IH & DE = EF then
Col A: Area of Rectangle GDEF
Col B: Sum of areas of Rectangle ABCD & CIHE

2. What is the closest integer to sqrt(171)?

3. If an = n { (-1)^n – 1)}, and a1, a2, a3, a4, a5 are the terms then what is the difference between greatest & least term?

4. No. of Members Least weight Range
20 members 100 29
21members 130 35
When two groups are joined, what is the median weight of the group?

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

6. If (2x+7) < 13 then
Col A: x^2
Col B: 9

7.

If AC = x, then find the perimeter of the figure?

ORKUT QUANT DATABASE (Till Aug 22nd)


1. There is a junior and senior team who have taken tests. The average of junior team members who have taken tests are 88 and the average of senior team members is 92
Col A: the average of senior and junior team
Col B: 90

2. Given 0.61<0.79
Col A: square root(x)
Col B: 0.73

3. A toy manufturer company manufactures 20,000 toys and exports ¾ and 1/10 and donates some (xxx) value for charitable trust.
Find the number of toys left in the company?

4. There are rooms from 101 to 550 inclusive in which the starting rooms are numbered from 1, 2, 3 and the waiting rooms are numbered from 4,5,6. What is the probability that the rooms 4, 5, 6 will be choosed randomly?

5. One side of a triangle is given as 6 and the triangle is equilateral triangle & another triangle is joined with it whose side is 10
Col A: perimeter of polygon
Col B: 30
(Question is similar to this)

6. Given a line in xy plane with slope k = -1/2
Col A: x-intercept
Col B: y-intercept

7. If x < y then
Col A: x^2+x+1
Col B: y^2+y+1

8. Which of the following number is nearer to sqrt(171)?
A.12
B.13
C.14
D.15
E.16

9. When a number is divided by 12, the remainder is 5. What is the remainder when the square of that number is divided by 8?

10. The area of circle of radius 'r' is twice the the area of triangle then r in terms of h is?

11. Col A: 0.001^-1 + 0.999^-1
Col B: 0.002^-1 + 0.998^-1

12. If the selling price of a product is 25% lesser than its list price and 40% greater than its cost price, then what is the list price of the product if the cost price = 30 ?
A. 52
B. 53
C. 56
& so on.....

13. If x and y are prime numbers greater than 10 then which of the following is an even integer?
A. x^2+xy
B. x^y +2
C. xy +2
D. 2xy +xy

14. If z>1 & z(x+y+z) = zx+zy+z
Col A: z
Col B: 0

15. If x<2 & y<3
Col A: xy
Col B: 6

16. The average salary of n employees is 32000, average salary of another different group of n-1 employees is 33000
Col A: The average salary of 2n-1 employees
Col B: 32500

17. The range of 'p' numbers is 9.5 and the range for 'q' numbers is 21.5, what is the least range value when p and q are combined together?

18. A series was given as 1, -3, 5,-7 ,9,-11,13............ In this series odd numbers are negative integers. Find the sum of first 25 numbers in the series?

19. If n is an integer then
Col A: (-1)^6n+9
Col B: (-1)^2n-1

20. A trapezoid is given whose area is 12, length of it is given as 6 & height of it is given as 3. Find the perimeter of trapezoid?



ORKUT QUANT DATABASE (Till Aug 21st)


1. Given Perimeter of a parallelogram ABCD as 360 units
Col A: Length of diagonal AC
Col B: 9*root(2)

2. Which of the following lines has maximum slope?
A. y - x/4 = 5
B. y - x/2 = -1
C. y + x = 10
D. y + 3x/2 = 4
E. y + x/2 = -3

3. If n is divided by 24, the remainder is 21. Which of the following is the divisor of n?
A. 3
B. 4
C. 5
D. 6
E. 7

4. Given that a machine P completes a certain amount of work in 12hrs and machine Q completes the same amount of work individually in x hrs. If both machines work together they complete the same amount of work in 8hrs then what is x?

5. Col A: 0.001^-1 + 0.999^-1
Col B: 0.002^-1 + 0.998^-1

6. If k>0 and if x = k^3 & y = k^2 then
Col A: x^6
Col B: y^9

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

8. If (x-y)^2 = 16 & y = 2 then
Col A: x
Col B: 2

9. 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?

10. Given ax+by+c= 0
i. If a,c both are positive, then x intercept is negative
ii. If a, b both are positive, then y intercept is positive
iii. If b,c both negative, then y intercept is positive
which of the above conditions satisfy?
A. Only i
B. Only ii
C. Both i and ii
D. All i, ii, iii
(Question is similar to this)

11. If ax+by+c = 0 & if a,b > 0
Col A: slope
Col B: 0

12. A person A completes a work at a steady rate in 12 mins and another person B completes the work with varying rates. If both work together they finish the job in 8 mins. Find the rate at which B works?
A. 3
B. 6
C.10
D. 21
E. 24

13. There are 35 females in a club having average of their age as 'f' and there are 45 males in a club having average of their age as 'm'. If 'f' is greater than 'm', then
Col A: Average age of all 80 members
col b: (f+m)/2

14. Given A= {Set of odd integers less than 100}
B= {Set of positive even integers less than 5}
C= {Set which include product of both sets A and B}
Col A: number of integers in set C
Col B: 100

15. Col A: 0.999/0.998
Col B: 1.002/1.001

16. If x, y, z are positive integers and if 3x = 4y = 10z, then what is the least possible value of z?
A. 3
B. 1
C. 9
D. 6
E. Cannot be determined


ORKUT QUANT DATABASE (Till Aug 20th)


1. If 2^n < 10^15, then how many of the following numbers can take the place of n?
A. 30
B. 45
C. 60
D. 75

2. When 'w' is divided by 14, the remainder is zero. If 'w' is three lesser than it value and when divided by 15, its remainder is 14. What is the value of 'w'?

3. If the selling price of a product is 25% lesser than its list price and 40% greater than its cost price, then what is the list price of the product if the cost price = 30 ?
A. 52
B. 53
C. 56
& so on.....

4. Given N = (-2)^x, where x is a negative integer. If 'm' is the difference between the highest possible value of 'N' and the least possible value of 'N'?
Col A: m
Col B: 3/4

5. Col A: (1/.001)+1/.999
Col B: (1/.002)+1/.998

6. Given that 'r' and 's' are two integers between 650 and 690. If x is the difference between the digit at tenth position of 'r' and the digit at tenth position of s, then
Col A: x
Col B: 2

7. If the standard deviation of 'p' number of people is 21.5 and standard deviation of 'q' number of people is 9, then what is that least possible standard deviation value when both p and q are added?

8. If z>0, w>0 then
Col A: w^4+z^2
Col B: z^2+w

9. If 100 < y < 300 then
Col A: 2y
Col B: 400

10.

Given a figure like above i.e. the diameter of the semicircle as the third side of a triangle and the angle opposite to it is as 60 and other two sides of the triangle as equal. If the circumference of the above semicircle is 50pi then what is the perimeter of a triangle?

11. Given a list of 5 integers with the mode & median of the list as 4 and 7. If the average of the greatest integer and the second greatest integer of the list is 20 then what is the total average of the list of numbers?

12. Given a point (a, b) which lies below x-axis and left of y-axis then
Col A: a
Col B: b

13. Given 'k' is an odd integer greater than 100 and if it is a multiple of 'd' other than k itself.
Col A: d
Col B: k/2

14. Given a series -9, 10, -11, 12, -13..... 80.
Col A: sum of first 27 numbers
Col B: -22

15. 5000+sqrt(6.894*7001.2) is approximate equal to
A. 5200
B. 5700
C. 6000
D. 6500
E. 7000

16. Col A: 100!/99!
Col B: (100! - 99!) / 98!

17.

If AD= x, then find the perimeter of triangle ABC?

ORKUT QUANT DATABASE (Till Aug 19th)


1.

If the diameter of inner circle is equal to radius of outer circle, find the area of the shaded region?

2. Col A: 13 - 2(square root of 7)(square root of 5)
Col B: 0

3. If (x+5)^2-(y-3)^2 =0 & x+y=2 then
Col A: x-y
Col B: 0

4. What is the perfect number close to square root of 171?
a.13
b.14
c.9
d.25
e.75

5. Given five numbers x1, x2, x3, x4, x5 whose average is S and three more numbers are given y1, y2, y3 whose average is R. What is the total average of x1, x2, x3, x4, x5, y1, y2 and y3?
A. 5S+3R/8
B. S/8
C. R/8
D. S+R/8
E. 3S+5R/8

6. Col A: (-2)^-3
Col B: (-4)^-3

7. Given series x, 2x+2, 3x+4, 4x+6, 5x+8 where x is a positive number
Col A: Mean of the above series
Col B: Median of the above series

8. A parallelogram diagram is given whose length is 9 and breath is 6 and the angle between the breadth and length is given as ‘x’ degrees (x degrees is greater than 90).
Col A: Area of the parallelogram
Col B: 50

9. Area of city A which lies in city B is 20% of the area of city B not in town A.
Col A: the percent of city A within city B
Col B: 18%

10. Given 'k' and 'm' as two numbers whose LCM is 'km' & 'm' and 'n' are two numbers whose LCM is 'mn'. If k, m, n > 0
Col A: LCM of 'k' and 'n'
Col B: 'kn'

11. Given range of 'n' numbers as 9.5 and the range of 'q' numbers as 21.5. If the two lists are combined then range of (n+q) numbers? (It is also given that the numbers in the two lists are different and in increasing order)

12. Given that the number of architects in an organization is 1/4 of the total and the organization hired 60 more persons of which 50 are architects and after which the ratio of architects increased from 1/4 to 1/3. Find the number of people in the organization if none of them have gone out of the organization?

13. A right angled triangle ABC is given whose sides have been extended to form three squares.
Col A: Area of square formed by hypotenuse.
Col B: sum of areas of squares formed by other two sides

14. If an amount of 40,000 is split and invested, one portion at 4.5% and the remaining at 6% and if the cumulative interest at the end of 1 year is 1890(not sure) then
Col A: Interest yielded by the portion with 4.5%
Col B: xxx (some number)

15. There are 'x' boxes and the balls are arranged in such a way that no ball is remained. If the number of boxes is reduced by 3 and if 12 balls are arranged in them, then 5 balls are left behind. What is the original number of boxes 'x'?
A. 8
B.14
C.26
D.31
E.34

16. If s=(1,2,3,4,5) &T=(1,2,3,4,5)& if 'P' is a product of 'S' and 'T' how many such values are possible for 'T'?

ORKUT QUANT DATABASE (Till Aug 18th)


1. Col A: 0.9999/0.9998
Col B: 1.0002/1.0003

2. There are 5 terms in a series a1, a2, a3, a4, a5 and an is given as an = n {(-1)^n -1}. Find the difference between the greatest and smallest term?

3. If an amount of 2000$ is given for annual interest at 'r'% rate and if 150$ is received as an interest for 1 year then find the value of r?

4. Given set S = {1,2,3,4,5} and T = {1,2,3,6,8}, let any element chosen from set S be 's' and any element chosen from set T be 't' and if s*t = n. Then in how many answers are possible for n?

5. Given (s-t)^2 = 16 where t=2
Col A: s
Col B: 6

6. The approximate value of ((61.16)(0.98)^2)/sqrt(401) is
A. 5
B. 4
C. 3
D. 2
E. 1

7. Given that the lines k and m pass through point (1, 1). If the slope of k is less than that of m & if k passes through (0, a) and m passes through (0, b), then
Col A: a
Col B: b

8. Col A: (0.001)^-10
Col B: 1/(10)^-30

9. If the standard deviation of 21, 22, 23, 24, 27, 28, 29 & 33 is x, then what is the standard deviation of 221, 222, 223, 224, 227, 228, 229 & 233?

10. These are scores of a student in two tests for which 1000 students appeared in each test. Mean Score student's score percentile
Test 1: -- 250 400 90th
Test 2: -- 200 360 xth

11. What is the remainder of (7^0 + 7^1 + 7^2 + 7^3 + + 7^20)/14?

12. Given A= {Set of odd integers less than 100}
B= {Set of positive even integers less than 5}
C= {Set which include product of both sets A and B}
Col A: number of integers in set C
Col B: 100

13. If x and y are prime numbers greater than 10 then which of the following is an even integer?
A. x^2*y2
B. x^y +2
C. xy +2
D. 2xy +xy

14. If there are 33 balls arranged in 7 boxes which of the following is true.
(i) At least one box has more than 5
(ii) There are more than one boxes with 4
(iii) There is at least one box empty
A. I only
B. ii only
C. i and ii
D. i and iii
E. None

15. Given (x+5)^2 - (y-3)^2 = 0 & x+y = 2
Col A: x-y
Col B: 0

16. The area of town A which lies in city B is 20% of the area of city B not in town A
Col A: Ratio of area of A to that of B
Col B: 18%

17. Given a series x, 2x+2, 3x+4, 4x+6 & 5x+8
Col A: Mean of above series
Col B: Median of above series.

18.

Given a figure like above (triangle inscribed in the circle) such that height = radius and base is twice the radius. If the area of the triangle is given as 60 then what is area of the circle?

19. If RST is isosceles triangle with RS = ST, and P be a point on the side RT, then which of the following conditions must be true:
i) SP < ST
ii) SP < RP
iii)ST>RP

20. A quadrilateral was given with sides 3, 5 and 8 and y (some value greater than 10). Find the range of the diagonal?
A. 3 < x < 8
B. 4 < x < 8
& so on.......

ORKUT QUANT DATABASE (Till Aug 14th)


1. If x, y, z, u, v, w, t are non-zero numbers then what are the possibilites for the terms not being zero if xyz = uvwt?

2. Perimeter of a parallelogram is given as 360
Col A: length of diagnal
Col B: some value like root 9 *27

3. A cylindrical mould having height 12ft, filled to half of its capacity which is equal to 96pie. Find circumferential area?

4. A series was given as 9, 10, 11, 12, 13, 14..... In this series odd numbers are negative integers.
Col A: Sum of first 27 integers in series
Col B: -22

5. Which of the following lines has maximum slope?
A. y - x/4 = 5
B. y - x/2 = 10
C. y + 3x = 10
D. y + 3x/2 = ...
E. y + x/2 = ...

6. Given a line passing through origin at 50 degree to horizontal and a point P(r,s) on the line, then
Col A : r
Col B : s

7. If n is divided by 24, the remainder is 21. Which of the following is the divisor of n?
A. 3
B. 4
C. 6
D. 9
E. 10

8. Given N = (-2)^x where x is a negative integer. If 'm' is the difference between the highest possible value of N and the least possible value of N?
col A: m
col B: 3/4

9. A person A completes a work at a steady rate in 12 mins and another person B completes the work with varying rates. If both work together they finish the job in 8 mins. Find the rate at which B works?
A. 3
B. 6
C.10
D. 21
E. 24

10. Given 'k' is an odd integer greater than 100 and if it is a multiple of 'd' other than k itself.
Col A: d
Col B: k/2

11. If 27 < x^3 < 125 then
Col A: x
Col B: 4

12. Given a series -9,10, -11,12, -13...........80.
Col A: sum of first 27 numbers
Col B: -22

13. There are 35 females in a club having average of their age as 'f' and there are 45 males in a club having average of their age as 'm'. If 'f' is greater than 'm', then
Col A: Average age of all 80 members
col b: (f+m)/2

14. Given a cylindrical-can which can be filled up to a capacity of 3cubic.feet.
Hint: 1 yard = 3 feet
Col A: The Amount of liquid where 100 such cans carry in cubic.yard
Col B: 13cubic.yard

15. Given A= {Set of odd integers less than 100}
B= {Set of positive even integers less than 5}
C= {Set which include product of both sets A and B}
Col A: number of integers in set C
Col B: 100

16. 5000+sqrt(6.894*7001.2) is approximate equal to
A. 5200
B. 5700
C. 6000
D. 6500
E. 7000

17. Col A: 100!/99!
Col B: (100! - 99!) / 98!

18. If 6^n is multiple of 24 then what is the least value of n?

19. If x-y = 1 then
Col A: x^2 - y^2
Col B: 0

20. (Root(28)/root(112) ) – (root(7)/root(112)) =
A.1/16
B. 4/3
……. so on........

& Few previous database Questions.....

ORKUT QUANT DATABASE (Till Aug 13th)


1. If 1 < xy < 4 and 1 < y < 2, then
Col A: x
Col B: y

2. If the speed of a vehicle is x/6 miles for 'y'secs then the speed for Z miles is?

3. A set contains 2 numbers and all the intergers in the set are multiples of an interger M . If the highest integer in the set is 250, then
Col A: m
Col B: 5

4. Given Set A = {5, 6, 7, 8, 9} & Set B = {26, 27, 28, 29, 30}. If one element is chosen from Set A say 'X' and one from Set B say 'Y' then how many different values of x+y are possible?

5. Col A: 0.9999/0.9998
COlB: 1.0002/1.0003

6. If x and y are prime numbers greater than 10 then which of the following is an even integer?
A. x^2*y2
B. x^y +2
C. xy +2
D. 2xy +xy

7. When x is divided by 12, it gives a remainder of 5. So what is the remainder if x^2 is divided by 9?

8. Col A: (1/.001)+1/.999
Col B: (1/.002)+1/.998

9. Col A: (-2)^-3
Col B: (-4)^-3

10. If x and y are prime numbers greater than 10 which of the following is an even integer
A. x^2*y2
B. x^y +2
C. xy +2
D. 2xy +xy

11. If there are 33 balls arranged in 7 boxes which of th following is true.
(i) at laest one box has more than 5
(ii) there are more than one boxes with 4
(iii) there is atlest one box empty
A. I only
B. ii only
C. i and ii
D. i and iii

12. There are 5 terms in a series a1, a2, a3, a4, a5 and an is given as an = n{(-1)^n -1}. Find the difference between the greatest and smallest term?

13. If an amount of 2000$ is given for annual interest at 'r'% rate and if 150$ is received as an interest for 1 year then find the value of r?

14. If (9)^2x * 3^y = 81^y then find x in terms of y?

15. If S = (1, 2, 3, 4, 5) & T = (1, 2, 3, 4, 5) and if 'P' is a product of 'S' and 'T' then how many values of 'P' are possible?

& Few Previous Database Questions

ORKUT QUANT DATABASE (Till Aug 12th)


1. If the ratio of length, breadth and height of a rectangular box is 1:2:3 and if the total surface area of the box is 550 then what is the volume of the box?

2. If 2 < xy < 4 and 1 < y <2 then
Col A: x
Col B: 2

3. Given a cylindrical-can which can be filled up to a capacity of 3cubic.feet.
Hint: 1 yard = 3 feet
Col A: The Amount of liquid where 100 such cans carry in cubic.yard
Col B: 13cubic.yard

4. A person is supposed to collect 3 out of 5 accessories & 4 out of 5 accessories. How many such combinations can he come out of this?

5. Col A: (5^20-5^19)/20
Col B: 5^18

6. If 1 < a < 2 < b < 3 < c < 4
Col A: ab/c
Col B: 3

7. If An = [(-1)^(2n-1)] *(2n-1) then find the sum of 25 terms?

8.

Given two triangles, one triangle inserted in another as above. The vertices of big triangle is ABC & smaller triangle i.e. the inner triangle is PQR such that AB//PQ and AC//PR. Given angle A is y degrees, angle R is z degrees & exterior angle of A is x degrees.
Col A: x
Col B: y+z

9. If n is an integer
Col A: (-1)^6n+9
Col B: (-1)^2n+3

10. If 1/3 of n is 5 less than 2/5 of n then what is the value of n?

11. When n is divided by 24 it gives a remainder of 21 then what is the divisor?
A.3
B.5
C.7
& so on....

12. Given Set A = {5, 6, 7, 8, 9} & Set B = {26, 27, 28, 29, 30}
If one element is chosen from Set A say 'X' and one from Set B say 'Y' then how many different values of x+y are possible?

13. Given A= {Set of odd integers less than 100}
B= {Set of even integers less than 5}
C= {Set which include product of both sets A and B}
Col A: number of integers in set C
Col B: 100

14.

Given the ratio of the areas of the (above) two circles as 2:1. If the area of the bigger circle is “pi” then what is the distance between their centers (or what is the length of the line joining their centers)?

15. If Average of a, b, c, -5, -15 is 's' and average of a, b, c, 5, 15 is 't' then what is the value of (s-t)?

16. Given a line in xy plane with slope k = -1/2
Col A: x-intercept
Col B: y-intercept

17.

If all the seven circles are shaded like above then what is the area of unshaded region?

18. If the median of a seven number sequence is 2n+2 then find the Arithmetic mean of that sequence?

19.

What is the perimeter of the figure?

20. Given (s-t)^2 = 16 where t=2
Col A: s
Col B: 6

21. Given (x+5)^2 - (y-3)^2 = 0 & x+y = 2
Col A: x-y
Col B: 0

22. Given that r and s are two integers between 650 and 690. If x is the difference between the digit at tenth position of r and tenth position of s then
Col A: x
Col B: 2

23. If the sum of digits of a two digit number xy is 6 more than the difference between the digit at tenth place and unit digit then find the value of y?
A.1
B. 2
C. 3
D. 4
E. Cannot be determined

24. The approximate value of ((61.16)(.98)^2)/sqrt(401) is
A. 5
B. 4
C. 3
D. 2
E. 1

25. Given that the lines k and m pass through point (1, 1). If the slope of k is less than that of m & if k passes through (0, a) and m passes through (0, b), then
Col A: a
Col B: b

26. The area of town A which lies in city B is 20% of the area of city B not in town A
Col A: Ratio of area of A to that of B
Col B: 18/1

27. In a class of certain number of students, if 1/2 of the students takes math’s as their major, 2/3 takes physics as their major & 1/3 takes both math’s and physics as their majors and if 80 students didn't take any of math’s or physics subjects as their major then what is the total number of students in the class?

ORKUT QUANT DATABASE (Till Aug 11th)


1.

What is the value of x?

2. How many of the following 2, 4, l-8l, sqrt(19) & 8 have their square 4 more than the multiples of 5?

3. Col A: (0.001)^-10
Col B: 1/(10)^-10

4. Given a table with some variables as ‘u’, ‘v’, ‘r’, ‘s’ & ‘t’ whose product is even and also it is given that product of ‘uvrs’ & ‘uvr’ as even and product of ‘rs’ as odd. Which of the following options cannot be odd?
A. R
B. s
C. t
D. u
E. v

5. Given six variables arithmetic mean as 80 and given first 3 has an average of 60 then asked to find
Col A: How many numbers of the last 3 numbers can be greater than 80
Col B: 3
(Question might be given like this)

6. If x*y = y/1/x then
Col A: 4*4/3
Col B: 3/4*4

7. If (ab)^6 = b^-4*c^-8 then
Col A: (ab)^9
Col B: (b^-2*c^-4)^3

8. If n is positive integer greater than 0 then
Col A: The unit place of 156^n
Col B: The unit place of 165^n

9. Given x < y & p < r < t. If these 5 numbers are placed in ascending order from left to right, which cannot be placed in second place?
A. x
B. y
C. p
D. t
E. r

10. There is a semi circle and person A takes 2min to walk around the semicircle path, and B takes 1 minute to walk along the diameter
CoL A: Average speed of A
CoL B: Average speed of B

11. 5000+sqrt(6.894*7001.2) is approximate equal to
A. 5200
B. 5700
C. 6000
D. 6500
E. 7000

12. Col A: 100!/99!
Col B: (100! - 99!) / 98!

13. What was the remainder, when 1+7+49 is divided by 14?

14. If 2^n > 10^15n then which of the following options satisfies the condition
A. 30
B. 45
C. 60
D. 75

15. A circle represents 600$ and asked to find how much angle will make 120$

16.

What is the possible range of x?
A. 3 < x < 7
& so on…….

17.

Find the values of (a,b) in terms of k, x & y?

18. If 1 < a < 2, 3 < b < 4, 5 < c < 6
Col A: ab/c
Col B: 1/6

19. If n>0
Col A: 1/9 of n
Col B: 11% of n
20. Given integers from -8 to 184 such that each next number exceeds the previous by 3, if ‘n’ is number of integers in the sequence then
Col A: n
Col B: 65

21. If 2^x+y - 2^x-y = 0, find y?

22. If 20% of houses in US are at NE. 35% of the houses in NE were occupied by rentals. What % of houses US were in NE and occupied by rentals?

23. If 6^n is multiple of 24 then what is the least value of n?


ORKUT QUANT DATABASE (Till Aug 8th)


1. Given Set A = {5,6,7,8,9} &
Set B = {26,27,28,29,30}
If one element is choosen from A say 'X' and one from B say 'Y' then how many different values of x+y are possible?

2. Col A: 100!/99!
Col B: (100! - 99!) / 98!

3. Given three points A B and C are lying on a circle such that BC is the diameter and BC=20 while AB = 10 then angle B = ?
A. 0
B. 30
C. 45
D. 60
E. 90

4. If N and M are the multiple of 2 which are not divisible by 4 then what will be the reminder when N + M will be divided by 4
A. 0
B. 1
C. 2
D. 3
E. 4

5. Given a series x, 2x+2, 3x+4, 4x+6 & 5x+8
Col A: Mean of above series
Col B: Median of above series.

ORKUT QUANT DATABASE (Till Aug 7th)


1. If standard deviation of 'p' number of people is 21.5 and standard deviation of 'q' number of people is 9 then what is that least possible standard deviation value when both p and q are added?

2. If p1 = {2,3,4,5,6} and p2 = {11,12,13,14,15} then how many unique answers are possible for p1+p2?

3. Given perimeter of circle as 8pie. If the area of a square is equal to area of this circle. Find the side of the square?

4. How many of the following 2, 4, -7, sqrt(19) & 8 have their square 4 more than the multiples of 5?
A. 0
B. 1
C. 2
D. 3
E. 4

5. If A1, A2, A3, A4 & A5 belongs to a series such that An= n{(-1)^n -1}, then what will be the difference of the largest and the smallest term?
A. 4
B. 6
C. 8
D. 10
E. 12

6. If R1 = -3,-2,-1
R2 = 1, 2, 3 &
R3 = -3, -2, -1, 1, 2, 3
and if s1, s2 ans s3 are standard deviations of R1, R2 and R3 then which of the following is true?
i. s1 < s2
ii. s2 < 0
iii. s3=0

A. NONE
B. i only
C. ii only
D. iii only
E. all three

7. In a class of certain number of students, if 1/2 of the students takes maths as their major, 2/3 takes physics as their major & 1/3 takes both maths and physics as their majors and if 40 students didn't take any of maths or physics subjects as their major then what is the total number of students in the class?

8. If x < y then
Col A: x^2+x+1
Col B: y^2+y+1

9. Given A= { set of odd integers less than 100 }
B= { set of even integers less than 5 }
C= { set which include product of both sets A and B }
Col A: no.of integers in set C
Col B: 100

10. If Average of a, b, c, -5, -15 is 's' and average of a, b, c, 5, 15 is 't' then what is the value of (s-t)?

11. What is the remainder when (5^20) - (5^18) is divided by 4 ?

12. Given a line in xy plane with slope k = -1/2
Col A: x-intercept
Col B: y-intercept

13. There is a semi circle and person A takes 2min to walk around the semicircle path, and B takes 1 minute to walk along the diameter
CoL A: Average speed of A
CoL B: Average speed of B

ORKUT QUANT DATABASE (Till Aug 6th)


1. What is the remainder of the following (7^0 + 7^1 + 7^2 + 7^3 + ........ + 7^23)/14 ?

2. If the standard deviation of 21, 22, 23, 24, 27, 28, 29 & 33 is x, then what is the standard deviation of 221, 222, 223, 224, 227, 228, 229 & 233?

3. Given set S = {1,2,3,4,5} and T = {1,2,3,6,8}, let any element chosen from set S be 's' and any element chosen from set T be 't' and let s*t = n. Then in how many answers are possible for n?

4. If y = kx-5 has a x intercept of -10/3, what is the value of k?

5. If x = - 8
Col A: 7X^2 + 3x
Col B: 7(-8)^2 + 3(-8)

6. {1 / (2 - sqrt3)} =

7. A vendor was selling an item at certain price then marked it down 20% for spring. During summer again he marked it down 20% from spring price. If the item is sold at the summer price what percent of the original price did he sell for?

8. A person went to market with a red and a green bag and bought 10 carrots & 6 radishes. On the way to home he distributed vegetables into the two bags in such a way that no bag is empty. In how many ways can he do ths?

9. In how many ways, the letters of the word POLLOLOP can be arranged?

10. If 60% children like cats, 70% like dogs and 80% like rabbits then exactly how many children like all three animals?

11. A figure was given, it had a rectangular box in which 16 cylindrical cans, each with radius of 1 inch are placed. If the cans touch adjacent cans and/or the walls of the box. Find the interior area of the bottom of the box?

12. If the rate of inflation was 1000% then what will be the cost of an article two years from now, which costs 6 units of currency now?
A. 666
B. 660
C. 720
D. 726
E. 730

13. At a soccer match, the contractor provided dinner for 24 persons, and fixed the price so as to gain 12.5% upon his total outlay. Three of the players being absent , the remaining 21 paid the fixed price for their dinner, and such the contractor lost one rupee.
What was the charge for the dinner?

14. There is a semi circle and person A takes 2min to walk around the semicircle path, and B takes 1 minute to walk along the diameter
CoL A: Average speed of A
CoL B: Average speed of B

15. 5000+sqrt(6.894*7001.2) is approximate equal to
A. 5200
B. 5700
C. 6000
D. 6500
E. 7000

ORKUT QUANT DATABASE (Till Aug 5th)


1.

What is the area of shaded region?

2. Given -1 < x < 0
Col A: x^3
Col B: x^5

3. Given set A:{1,2,3,4,5} & set B:{2,3,4,5,6}, let any element chosen from set A be 'a' and any element chosen from set B be 'b' and let a*b = c. Then in how many answers are possible for c?

4. Given 125w + 25x + 5y + z = 264. Also if w, x, y & z are non-negative integers and less than 5, then the value of w + x + y + z is?
A. 8
B. 10
C. 12

5.

Given the diameter of the bigger circle is ‘D’. If the seven (equal) smaller circles are shaded as above then what is the area of unshaded region?

6. If (63)^n is divisible by 3^16 then
Col A: the value of n
Col B: 7

7. If 'N' is the number of two digit numbers that are not the divisible by 7 and 5, then the value of n is?
A. 61
B. 83
C. 75
D. 56

8. If x-y = 1 then
Col A: x^2 - y^2
Col B: 0

9. Given a sequence 8, -7, 6, -5, 4, ------------ 80. Find the sum of first 27 numbers?

10. If the median of a seven number sequence is 2n+2 then find the Arithmetic mean of that sequence?

11. If a number is divided by 24 and gives reminder as 21 then what is the divided of the following?
A. 6
B. 5
C. 3
D. 9
E. 21

12. Given x < y & p < r < t. If these 5 numbers are placed in ascending order from left to right, which cannot be placed in second place?
A. x
B. y
C. p
D. t
E. r

ORKUT QUANT DATABASE (Till Aug 4th)


1. If n is positive integer greater than 0.
Col A: Unit digit of 156^n
Col B: Unit digit of 165^n

2. Given that a set A contains odd numbers less than 100, set B contains even numbers less than 5 & set C is formed by multiplying all the numbers of set A with set B.
Col A: set c
Col B: 100

3. 5000+sqrt(6.894*7001.2) is approximate equal to
A. 5200
B. 5700
C. 6000
D. 6500
E. 7000

4. There are 5 green balls, 3 black balls and 2 red balls in a box. If 2 balls are taken from it without replacement what is the probability that the selected balls are red?

5. Number of divisors of 72 which have 4 in its unit place
A. 1
B. 2
C. 3
D. 4
E. 5

6. Col A: |10^-3|
Col B: |10^3|

7. Col A: Standard deviation of 29, 33, 35, 37, 39, 43
Col B: Standard deviation of 221, 225, 227, 229, 231, 235

8. Col A: Value of ((1/0.001)+(1/0.099))
Col B: Value of ((1/0.002)+(1/0.098))

9. Given the area of the secor as 5/4pie. Find the perimeter of the sector of the circle of angle 72degree?

10. Given a sequence from -8 . . . . . . 184 and this sequence is obtained by adding 3 to the previous number. If 'n' is the total number of numbers in the series then
Col A: n
Col B: 65

ORKUT QUANT DATABASE (Till Aug 1st)


1.

If x + y > 90 then
Col A: AB
Col B: BC

2. Given two points in the coordinate system x(-2, 1) & y(1, 2) then asked to find the slope?

3.

Given two circles with radius 2m & 3m as above, if the distance between their centers is 20m then what is the least possible distance between the two circles?
A. 15
B. 16
C. 17
D. 18

4. If (63)^n is divisible by 3^16 then
Col A: n
Col B: 7

5. If (ab)^6 = b^-4*c^-8
Col A: (ab)^9
Col B: (b^-2*c^-4)^3

6. If 150 < y< 300 then
Col A: 2y
Col B: 400

7. If xy>1 and x-y =1, then
Col A: x
Col B: y

8. If x - y = 1& x,y > 0 then
Col A: x^2 - y^2
Col B: 0

9. Given a sequence from -8 . . . . . . 184 and this sequence is obtained by adding 3 to the previous number. If 'n' is the total number of numbers in the series then
Col A: n
Col B: 65

10. There is a rectangular board in which width is 75% of length and the perimeter of the rectangle is given as 280. Find the diagonal length of the rectangle?

11. 5000+sqrt(6.894*7001.2) is approximate equal to
A. 5000
B. 5700
C. 6000
D. 6500
E. 7000