Gradutate Record Exam

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?