Gradutate Record Exam

1. If 5 < x < = 9 and 7 < y < = 9, then
Col A: x
Col B: y

2. A certain game has multiple rounds, in each round a participant receives either 2 points or 4 points. If the average points received by one particular participant for all the rounds is 2.2, then
Col A: 9 times the number of rounds in which the participant got 4 points
Col B: The number of rounds in which the participant got 2 points

3. Col A: (0.01)^10
Col B: 10^(-20)

4. If f(x)= 2x-3 & f(g(x)) = x, then
g(x) = ???

5. List 1: k, p, q, r
List 2 : k+6, p+6, q+6, r+6
Col A: Standard Deviation of List 1
Col B: Standard Deviation of List 2

6. Given three angles of triangle as 2x, (2y-z), (2z-x)
Col A: 180
Col B: x + y + z

7. Which of the following has exactly 3 distinct common factors as 28 including 1
A. 10
B. 40
C. 72
& so on...
(Something like this)

8. Given a table like above

Col A: The range of these 22 numbers
Col B: 40

9. The value of 3*sqrt(150) lies in the range of
A. 15-30
B. 30-60
& so on....

10. Given a series -8, -3, 5, 8, 3, -5........ (Such that every number is the difference of last two numbers) Col A: The number that would first repeat 3rd time is
Col B: 3

11. Given x, y as integers. If A = 896*355*(x-1)(y+2), then
Col A: Unit digit of A
Col B: 0

12.

Given a figure as above with circle inside a square, if the area of the square is 16, then
Col A: Area of circle
Col B: 4PIE

13. Col A: Sqrt(120) + Sqrt(50)
Col B: Sqrt (80) + Sqrt(90)

14. What is the highest prime factor of 3^100 - 3^97?

15. Two frequency distribution tables are given.
Table I:

Table II:

Out of mean, median & mode which quantity is common for both tables?
A. Mean only
B. Median only
C. Mode only
D. Median & Mode
E. Mean & mode

16. If 'N' is a two-digit number with 'x' in tens place and 'y' in units place, then when this number is multiplied by 5 what will be the result?
A. 5xy
B. 5x+5y
C. 50x+50y
D. 50x+ 5y

17. Six amounts are given say 358$, 600$, 478$, 786$, 900$ & 983$. These amounts represent the profit made by 6 people. Out of these 6 values, there is error in 2 of them, one has been increased by 120$ and one has been decreased by 120$ by mistake.
Col A: Standard Deviation of the data given
Col B: Standard Deviation of the actual values (without error)

18. If a wheel 'A' has half the diameter of wheel B, then
Col A: Number of revolutions made by wheel A to cover 5000 miles
Col B: Number of revolutions made by wheel B to cover 2500 miles

19. Given X1, X2 & X3 can do a job together in 4 hrs. If X1, X2 can do the same job in 6hrs, then how long would it take for X3 to do the job alone?
(Question given with values changed)