Gradutate Record Exam

1. If y = 2x+3 & xy < 0, then the value of 'x' lies between?

2.

Given a figure as above with an equilateral triangle placed on one of the short side of the rectangle. If the triangle side length is x & the length of rectangle is 5 times more than x, then find the perimeter of the polygon?

3. Col A: The remainder when 4^10 is divided by 5
Col B: The remainder when 3^12 is divided by 5

4. Given a point 4 on positive x-axis in the coordinate system, then find the next positive even number less than 4?

5. Given a triangle with side lengths 6.1 & 8.1 and longest side length as 14. Find the angle between length sides 6.1 and 8.1?

6. Given that one 5 meters length wire is cut into 2 pieces. If one of them is x meters, then
Col A: Length of other piece
Col B: 5-x

7. Given x = 2.135678, n is number of digits after decimal part of x. If l(x-y)l = 0.0004, then the maximum value of n is
A. 1
B. 2
C. 3
D. 4
E. 5

8. If the surface area of a cube 'C' is 384, then what is surface area of a cube having edge length, half that of the edge length of cube 'C'?