Gradutate Record Exam

1. If from 1982 to 1990, a company made 210000$ profit & from 1988 to 1992 the same company made 180000$ profit, then what is the profit the company made between 1988 and 1990?

2.

Given a figure as above, with a square ABCD of side 'x'
Col A: Area of shaded region
Col B: x^2/4

3. If Bn = (-1)^n (T)^n-1, then find B5?
Col A: -1-t^2-t^3-t^4
Col B: -1+t^2-t^3+t^4

4. Find the closest value of a100, if an = [n^4+(n+100)^2]/xxx(some bigger value).
(Question is similar to this)

5. Which of the following is less than 30% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6

6. The value of 208 + 1/2 (208) + 1/4 (208) is ………….

7.

Given a figure similar to the above, as EFGH inscribed in ABCD, 'E' on AB, 'H' on AD; 'F' is on BC and is the midpoint of BC & a line segment connecting H and C. The point where 'F' intersects HC is G. Here E and H are not mid-pts of respective sides as “F”. If angle DHC=45 and side AE=5, then find the area of rectangle EFGH?

8. Given two points A(3, 1) & B(-1, 5) and a perpendicular is drawn from point ‘p’ to this line AB
Col A: Slope of the perpendicular line
Col B: 1

9.


If the area of ABCD is 180, then find the value of ‘X’?

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

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

12. If 0 < M < N < P < Q < R, then
Col A: Median of M, N, P, Q & R
Col B: Arithmetic Mean of M, N, P, Q & R.

13. If perimeter of a rectangle A is 20 & perimeter of rectangle B is 24, then
Col A: Area of the rectangle
Col B: Area of the rectangle

14.


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

15.If 61% supports ‘X’ and 55% supports ‘Y’ and out of those who support ‘Y’ 80% also supports ‘X’ , then what percentage of people supports neither ‘X’ nor ‘Y’?

16. If the probability of getting females in a group of people is 3/5, then
Col A: Ratio of male to female in that group
Col B: 3/2

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

18.Given an equation of the form [x+3] < =5 ( [ ] implies mod) and there were number lines given
A. Number line saying x lies between -2 to 8
B. Number line saying x lies between -2 to 2
C. Number line saying x lies between -8 to 2
D. Number line saying x lies between -8 to 8
& so on....

19. Given three variables a, b & c which can take any of the three values 0, 1 or 2.
If a^2(9) + b(3) + c = 25, then what is the value of a + b + c?
A.3
B.5
C.8
D.9

20. If x > 0, then
Col A: [(2x)^0 + (2x)^1] / [(2x) + (2x)^2 ]
Col B: (2X)^-1