Gradutate Record Exam

1. Col A: The remainder when 4^20 is divided by 5
Col B: The remainder when 3^12 is divided by 4

2. Given x = 2.135678, n is number of digits after decimal part of x. If l(x-y)l = 0.0004, then the maximum value of n is
A. 1
B. 2
C. 3
D. 4
E. 5

3. Given that one 5 meters length wire is cut into 2 pieces cross-wise. If one of them is x meters, then
Col A: Length of other piece
Col B: 5-x

4. In a total of 160 members, 25% are women and 45% are non-minority members. If 1/9 of the women are minority members, then what is the total number of people who are neither women nor minority members?

5. If -10 < = x < = 10 & -11 < = y < = 11, then what is the greatest possible value of y - x?

6. If the surface area of one side of the cube is 36, then
Col A: The volume of the cube
Col B: 15

7. Col A: Standard Deviation of n-4, n-2, n, n+2 & n+4
Col B: Standard Deviation of n-2, n-1, n, n+1 & n+2

8. If sum of the two base areas of a cylinder is equal to its curved surface area, then what is the relation between 'r' and 'h'?

9. Col A: 10!+9!
Col B: 10(9!)

10.

Here ‘C’ is the centre and those lines are tangents to the circle which meets at ‘O’. If the angle it makes is 60` and the area enclosed by angle C is 27pie then what is the circumference of the circle?

11. If 15 * 40 * 160 = (2^3)*(4^x)*(5^y), then find the value x+y?

12. The two legs of a right angle triangle are in the ratio 3 is to 1. If the length of the hypotenuse is sqrt(40), then find the perimeter of the triangle?
A. 14 to 15
B. 13 to 14
C. 12 to 13
D. 11 to 12
E. 10 to 11

13. If x^2 - x > 0 and lxl < 1, then
Col A: lxl
Col B: x

14. In triangle ABC, if AB= AC= 4, then
Col A: BC
Col B: 5

15. Given three series
l: x, 2x, 3x, 4x, 5x
ll: x, x+1, x+2, x+3
lll: 1/x,1/x+1,1/x+2,1/x+3
Which of the series has same mean and median?

16. Given a series of numbers 1, -1, 2, -2, 3, -3.......
Col A: The sum of the first 67 terms
Col B: 34

17. Col A: 4*sqrt(4)
Col B: sqrt(36)

18. Given P, Q and R are on the same plane, if 'R' is 5units away from 'P' and if 'P' is 13 units away from ‘Q’, then how many 'd' units is ‘R’ from ‘Q’?
i. d > =8
ii. d < =18
iii. 5 < =d < =13
A. I only
B. I & II
C. III only
D. II & III

1. Halcyon

2. Wayne

3. Altruism

4. Atonement

5. Asunder

6. Commensurate

7. Meek

8. Penurious

9. Sangfroid

10. Cessation

11. Procrastinate

12. Recalcitrant

13. Rapacious

1. If y = 2x+3 & xy < 0, then the value of 'x' lies between?

2.

Given a figure as above with an equilateral triangle placed on one of the short side of the rectangle. If the triangle side length is x & the length of rectangle is 5 times more than x, then find the perimeter of the polygon?

3. Col A: The remainder when 4^10 is divided by 5
Col B: The remainder when 3^12 is divided by 5

4. Given a point 4 on positive x-axis in the coordinate system, then find the next positive even number less than 4?

5. Given a triangle with side lengths 6.1 & 8.1 and longest side length as 14. Find the angle between length sides 6.1 and 8.1?

6. Given that one 5 meters length wire is cut into 2 pieces. If one of them is x meters, then
Col A: Length of other piece
Col B: 5-x

7. Given x = 2.135678, n is number of digits after decimal part of x. If l(x-y)l = 0.0004, then the maximum value of n is
A. 1
B. 2
C. 3
D. 4
E. 5

8. If the surface area of a cube 'C' is 384, then what is surface area of a cube having edge length, half that of the edge length of cube 'C'?

1. Equivocation

2. Dire

3. Harangue

4. Mulish

5. Voluble

6. Entice

7. Gainsay

8. Thwart

9. Banquet


Analogies:

1. Banquet: meal

2. Alarmist: Warning

3. Siren: Heard