19 August Gre Quants Question

1.

If the diameter of inner circle is equal to radius of outer circle, find the area of the shaded region?

2. Col A: 13 - 2(square root of 7)(square root of 5)
Col B: 0

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

4. What is the perfect number close to square root of 171?
a.13
b.14
c.9
d.25
e.75

5. Given five numbers x1, x2, x3, x4, x5 whose average is S and three more numbers are given y1, y2, y3 whose average is T. What is the total average of x1, x2, x3, x4, x5, y1, y2 and y3?
A. 5S+3R/8
B. S/8
C. R/8
D. S+R/8
E. 3S+5R/8

6. Col A: (-2)^-3
Col B: (-4)^-3

7. Given series x, 2x+2, 3x+4, 4x+6, 5x+8 where x is a positive number
Col A: Mean of the above series
Col B: Median of the above series

8. A parallelogram diagram is given whose length is 9 and breath is 6 and the angle between the breadth and length is given as ‘x’ degrees (x degrees is greater than 90).
Col A: Area of the parallelogram
Col B: 50

9. Area of city A which lies in city B is 20% of the area of city B.
Col A: the percent of city A within city B
Col B: 18%

10. Given 'k' and 'm' as two numbers whose LCM is 'km' & 'm' and 'n' are two numbers whose LCM is 'mn'. If k, m, n > 0
Col A: LCM of 'k' and 'n'
Col B: 'kn'

11. Given range of 'n' numbers as 9.5 and the range of 'q' numbers as 21.5. If the two lists are combined then range of (n+q) numbers? (It is also given that the numbers in the two lists are different and in increasing order)

12. Given that the number of architects in an organization is 1/4 of the total and the organization hired 60 more persons of which 50 are architects and after which the ratio of architects increased from 1/4 to 1/3. Find the number of people in the organization if none of them have gone out of the organization?

13. A right angled triangle ABC is given whose sides have been extended to form three squares.
Col A: Area of square formed by hypotenuse.
Col B: sum of areas of squares formed by other two sides

14. If an amount of 40,000 is split and invested, one portion at 4.5% and the remaining at 6% and if the cumulative interest at the end of 1 year is 1890(not sure) then
Col A: Interest yielded by the portion with 4.5%
Col B: xxx (some number)

15. There are 'x' boxes and the balls are arranged in such a way that no ball is remained. If the number of boxes is reduced by 3 and if 12 balls are arranged in them, then 5 balls are left behind. What is the original number of boxes 'x'?
A. 8
B.14
C.26
D.31
E.34

16. If s=(1,2,3,4,5) &T=(1,2,3,4,5)& if 'P' is a product of 'S' and 'T' how many such values are possible for 'T'?