Gradutate Record Exam

1. The greatest prime number by which (64^2 - 57^2) is divisible?
A. 7
B. 11
C. 13
& so on...


2. If the probability of some X person's sucess rate in doing a task is 0.8 and Y person is 0.7, then what is the probability that neither can do the task?


3. Given a circle on coordinate axis with origin (0, 0) and radius 5. Find the number of points we could find on the circle?


4. If 10^11+10^8+10^9+10^10 is divisible by 11, then
Col A: The Remainder
Col B: 0


5. If the mean of x1, x2, x3, x4 & x5 is 'm' & if the mean of x1- m, x2 - m, x3 - m, x4 - m & x5 - m is 'p', then
Col A: m
Col B: p


6. If x > 1 and 0 < y < 1, then
Col A: x^4 * y^ 4 / x^2
Col B: x^2 * y^4


7. {(-x)*(-x)} / (-x) =
A. -lxl
& four more options were given


8. In total of 2000 students, if 'x' students passed in maths, 'y' students passed in physics and 'z' students passed in both, then how many students passed in neither of the subjects?


9. If 6 members are to be selected in group of 4 children and 4 men, then
Col A: Probability of selecting 2 children and 4 men
Col B: Probability of selecting 3 children and 3 men


10. Col A: (x^2 - y^2) / (x-y)
Col B: x + y


11. If a solid cylinder of dimensions 4 *(1/2) *(1/2) is converted into a solid cylinder of dimensions 8 *2 *h, then what is the value of 'h'?