Gradutate Record Exam

1. Given 8 + y = 2^n, where 'n' is a positive number. Which of the following will be correct value for Y?
A. -6
B. -4
& so on....

2. If 3x - 3y = 1; x and y are positive numbers, then
Col A: x/y
Col B:1

3. If (x+3)(x-3) = 4x+1, then what is the value of x?

4. If the area of the semi-circle is 2pi, then what is perimeter of the semi circle?

5. Given a right angle triangle ABC whose adjacent sides are 'a', 'b' and hypotenuse 'c', then
Col A: a + c
Col B: 2b

6. Given that 'A' completes a piece of work in 12 days and 'B' in 'x' days. When worked together, if they complete in 9 days, then what is the value of 'x'?

7. If a1 = 2, a2 = 3 ................ an = a(n-1) - a(n-2), then what is the value of a150?
(Here 1, 2, 150, n, n-1 & n-2 are suffixes)

8. If 1/x - 1/y = 1/xy, then
Col A: x
Col B: y

9. If 0 < x < 1 & 0 < y < 1, then
Col A: x / x^(-1)
Col B: y^(-1) / y

10. If the average of x1, x2, x3, x4 is 'S' and the average of y1, y2 is 't', then the combined average of x1, x2, x3, x4, y1 & y2 is
A. s + t/2
B. s + t
C. s + t/8
& so on.....

11. The value of 5000 + sqrt {(0.68) + (700.2)} is.................

12.

Col A: x
Col B: 60`