Gradutate Record Exam

1. If a > 1, then
Col A: a^2-1
Col B: a+1


2. Col A: Standard Deviation of 23, 24, 25, 26, 26, 26
Col B: Standard Deviation of 25, 26, 27, 28, 29, 30


3. If a number is divisible by 5, the remainder is 3 & when the same number is divided by 7, the remainder is 4. What is the least possible number?


4. Given A= {Set of odd integers less than 100}
B= {Set of positive even integers less than 5}
C= {Set which include product of both sets A and B}
Col A: number of integers in set C
Col B: 100


5. If x < 0 then the value of (-x)(-x)/(-x) is
A. lxl
B. x
C. x^2
D. 0
E. -lxl

6. 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


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