Gradutate Record Exam

1. Given a series -3, -2, -1, 1, 2, 3........... Find the 69th term of the series?

2. If ca = p + q = a & ac > 0, then
Col A: p
Col B: q

3. A group of 1 professor and 3 students have to be made from 4 professor and 5 students.
Col a: Different ways in which the groups can be formed
Col b: 40

4. Given 'N' is a two digit number with ‘x’ in its unit place, then
Col A: The units digit N^3
Col B: The units digit of x^3

5. If -1 < x < 0, then
Col A: x^7
Col B: x^5

6. Which of the following is less than 30% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6
& so on…

7. Given a series p1, p2, p3, p4................ If p1 = 1 & pn = 24*p(n-1)+8, then
Col A: The remainder when p66 is divided by 6
Col B: 4
(Here 1, 2, 3, 4, 66, n & n-1 are suffixes)

8. If -1 < x < 0, then which of the following will have greater value?
A.0.8x
B.sqrt(x)
C.(5x)/6
D.sqrt(x)
& so on......

9. If the numbers 1, 5, 6, 8 & 9 are used once and are used to form a three digit number 't' and a two digit number 'r', then what is the minimum value of t - r?
A. 56
B. 58
C. 70
D. 73
& so on…