18 August Gre Quants Question

1. Col A: 0.9999/0.9998
Col B: 1.0002/1.0003

2. There are 5 terms in a series a1, a2, a3, a4, a5 and an is given as an = n {(-1)^n -1}. Find the difference between the greatest and smallest term?

3. If an amount of 2000$ is given for annual interest at 'r'% rate and if 150$ is received as an interest for 1 year then find the value of r?

4. Given set S = {1,2,3,4,5} and T = {1,2,3,6,8}, let any element chosen from set S be 's' and any element chosen from set T be 't' and if s*t = n. Then in how many answers are possible for n?

5. Given (s-t)^2 = 16 where t=2
Col A: s
Col B: 6

6. The approximate value of ((61.16)(0.9Cool^2)/sqrt(401) is
A. 5
B. 4
C. 3
D. 2
E. 1

7. Given that the lines k and m pass through point (1, 1). If the slope of k is less than that of m & if k passes through (0, a) and m passes through (0, b), then
Col A: a
Col B: b

8. Col A: (0.001)^-10
Col B: 1/(10)^-30

9. If the standard deviation of 21, 22, 23, 24, 27, 28, 29 & 33 is x, then what is the standard deviation of 221, 222, 223, 224, 227, 228, 229 & 233?

10. These are scores of a student in two tests for which 1000 students appeared in each test. Mean Score student's score percentile
Test 1: -- 250 400 90th
Test 2: -- 200 360 xth

11. What is the remainder of (7^0 + 7^1 + 7^2 + 7^3 + + 7^20)/14?

12. 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

13. If x and y are prime numbers greater than 10 then which of the following is an even integer?
A. x^2*y2
B. x^y +2
C. xy +2
D. 2xy +xy

14. If there are 33 balls arranged in 7 boxes which of the following is true.
(i) At least one box has more than 5
(ii) There are more than one boxes with 4
(iii) There is at least one box empty
A. I only
B. ii only
C. i and ii
D. i and iii
E. None

15. Given (x+5)^2 - (y-3)^2 = 0 & x+y = 2
Col A: x-y
Col B: 0

16. The area of town A which lies in city B is 20% of the area of city B not in town A
Col A: Ratio of area of A to that of B
Col B: 18%

17. Given a series x, 2x+2, 3x+4, 4x+6 & 5x+8
Col A: Mean of above series
Col B: Median of above series.

18.

Given a figure like above (triangle inscribed in the circle) such that height = radius and base is twice the radius. If the area of the triangle is given as 60 then what is area of the circle?

19. If RST is isosceles triangle with RS = ST, and P be a point on the side RT, then which of the following conditions must be true:
i) SP ii) SP iii)ST>RP

20. A quadrilateral was given with sides 3, 5 and 8 and y (some value greater than 10). Find the range of the diagonal?
A. 3 B. 4 & so on.......