ORKUT QUANT DATABASE (Till March 5th)

1. Given two concentric circles, one inscribed in another. If the radius of the inner circle is 'x' & the radius of the outer circle is '(x+y)', then what is the probability that the point taken lie in the inner circle?
A. pi*x^2/(x+y)
B. x^2/(x+y)^2
C. x^2/(x^2+y^2)
D. x/(x+y)
& so on....


2. Given price of a article as 'p' and is increased by r% to give a new price 'q' and then price of 'q' is reduced by s% to give original price.
Col A: r
Col B: s


3. If a, b and x are positive integers & if a/b>1, then
Col A: a+x/b+x
Col B: a/b


4. If the range of 6 consecutive positive numbers is 6.8 and of 7 consecutive numbers is 13.2. If none of these numbers in the two groups are same, then find the range of the 13 numbers?


5. If -6 <= x <= 4 & -10 <= y <= 4, then what is the greatest possible value of -x^2+ y^4?


6. When a number is divided by 12, the remainder is 5. What is the remainder when the square of that number is divided by 8?


7. Given a triangle with sides x, y & z. If z = 1/4(perimeter of triangle) and x + y = 12, then find the value of z?

8. Given that 3 couples are to be seated on 6 seats. Find the number of ways to arrange them in such a way that both husband and wife sit together?

9. Given 8 < 2x < 14 and 9 < x+4 < 16
Col A: x
Col B: 6

10. If the probability of selecting 80% & higher percentage of persons for a job in a company is 0.65, then
Col A: The propability of selecting persons who have less than 80%
Col B: 0.35

11. If R = {50,50,50,50,50} & S = {5,10,5,0,5}, then
Col A: The standard deviation of R
Col B: The standard deviation of S

12.1. If a1 = 2 and an+1 = (an - 1)^2 where n, n+1, n-1 are suffixes. Find a17?
A. 1
B. -2
C. 4
D. 0
E. -1

13. Given that ab = b+1, a(b+c) = ab+1
Col A: c
Col B: 1
14. Given a sequence 2, x, 7......... which contains a constant such that the number is obtained by adding the previous number and the constant. Find x?
A. 5/2
B. 5
C. 9/2
D. -5

15. If 40*75*160 = 3 * 4^m * 5^k
Col A: m
Col B: k

16. If l2x + 4l > 7 then
Col A: x
Col B: 8

17. Given two boxs which contains same number of 1/3 yellow, 1/3 blue, 1/3 red balls in both. If 1/3 of yellow balls are to be shifted from 1st box to 2nd box, then in what fraction are the yellow balls present to the other colours balls in the 2nd box?

18. If x<50 then 2-1/x = ?