Gradutate Record Exam

1. If x, y & z are exterior angles of a triangle, then
Col A: x+y
Col B: 180-z

2. Col A: (4)^-3
Col B: (1/2)^6

3. If perimeter of a rectangle A is 20 & perimeter of rectangle B is 24, then
Col A: Area of the rectangle
Col B: Area of the rectangle

4. Col A: The distance from origin to the point (3, 4)
Col B: The distance from origin to the (5, 2)

5. If x^2 - y^2 = 7, then
Col A: x+y
Col B: x-y

6. Col A: Standard Deviation of S, I, J, K & L.
Col B: Standard Deviation of S+6, I+6, J+6, K+6 & l+6.

7. If the length of a rectangle is increased by 10% and its width is decreased by 10%, then what is the new area of the rectangle?
A. Increased by 10%
B. Increased by 1%
C. Remains same
D. Decreased by 1%
E. Decreased by 10%

8. The value of 3sqrt(150) is..........

9. Col A: (0.01)^10
Col B: (1/10)^-20

10.

Given a figure as above with circle inside a square, if the area of the square is 16, then
Col A: Area of circle
Col B: 4PIE

11. A circle with arc length and sector area is given and was asked to find the radius?

12.

Given a figure as above with AE = 2; AB = 6 and if the triangles ABC & ADE are equilateral, then find the area of the shaded region?

13. Given a figure as a circle with a tangent from a point ‘R’ to a point ‘P’(on circle) whose centre is ‘O’, then
Col A: Distance of point ’O’ from ‘R’
Col B: Distance of point ‘P’ from ‘R’.
(Question is something similar to this)

14. If 61% supports ‘X’ and 55% supports ‘Y’ and out of those who support ‘Y’ 80% also supports ‘X’ , then what percentage of people supports neither ‘X’ nor ‘Y’?

15.

Given a figure like above, with one side of the triangle length AB given as ‘6’ and the area of the triangle is given as 12. Find the length of the side BC?