Gradutate Record Exam

1. 10^5 * 10^4 / 10^3 =
1.10^10
2.10^7
3.10^6
4.10^3
& so on….

2. Given a series.
1, 1/(2t), 1/(2)^2*t, 1/(2)^2*(t)^2 .................
For t=2, if odd terms are 1/2 times the previous number and even terms are 1/(t) times the previous number, then
Col A: The eight term (8th) in the series
Col B: 1/(2)^8

3.

Col A: a+d
Col B: b+c

4. Given two points P(4,2) & Q(3,3).
Col A: Distance of point ‘P’ from origin
Col B: Distance of point ‘Q’ from origin

5.

In the figure above, it is a semicircle drawn on a square of side length 10m.And now, find the length of PR?

6. If (x-5)(2x+1) – (x-5)(x-7) = 0, then what is the least possible value of ‘x’?

7.Find the surface area of a cuboid of length 6ft, width 1/6ft and height 1/3ft?

8.In a contest, there are 5 judges who are to rate (they can rate from 0-10) the scores of 8 different groups.