11 august GrE Quants Que

2. How many of the following 2, 4, l-8l, sqrt(19) & 8 have their square 4 more than the multiples of 5?

3. Col A: (0.001)^-10
Col B: 1/(10)^-10

4. Given a table with some variables as ‘u’, ‘v’, ‘r’, ‘s’ & ‘t’ whose product is even and also it is given that product of ‘uvrs’ & ‘uvr’ as even and product of ‘rs’ as odd. Which of the following options cannot be odd?
A. R
B. s
C. t
D. u
E. v

5. Given six variables arithmetic mean as 80 and given first 3 has an average of 60 then asked to find
Col A: How many numbers of the last 3 numbers can be greater than 80
Col B: 3
(Question might be given like this)

6. If x*y = y/1/x then
Col A: 4*4/3
Col B: 3/4*4

7. If (ab)^6 = b^-4*c^-8 then
Col A: (ab)^9
Col B: (b^-2*c^-4)^3

8. If n is positive integer greater than 0 then
Col A: The unit place of 156^n
Col B: The unit place of 165^n

9. Given x < y & p < r < t. If these 5 numbers are placed in ascending order from left to right, which cannot be placed in second place?
A. x
B. y
C. p
D. t
E. r

10. There is a semi circle and person A takes 2min to walk around the semicircle path, and B takes 1 minute to walk along the diameter
CoL A: Average speed of A
CoL B: Average speed of B

11. 5000+sqrt(6.894*7001.2) is approximate equal to
A. 5200
B. 5700
C. 6000
D. 6500
E. 7000

12. Col A: 100!/99!
Col B: (100! - 99!) / 98!

13. What was the remainder, when 1+7+49 is divided by 14?

14. If 2^n > 10^15n then which of the following options satisfies the condition
A. 30
B. 45
C. 60
D. 75