Gradutate Record Exam

1. If 3/5 =x/y
Col A: X - 3
Col B: Y - 5

2. If the letters of the word A, F, T, E, R are permuted and arranged in a dictionary form like after, then for some (n > 2) how many other possible ways are there?
A. 119
B. 117
C. 88
& so on....

3. Given y = ax+b and if x-intercept is 5 and slope =2
Col A: x-intercept
Col B: -10

4. If x is negative integer, then
Col A: (-x)^(3*x)
Col B: (-3*x)^(x)

5. In how many ways can 5 prizes, each having 1st, 2nd, 3rdpositions can be given to 3 boys?

6. Given three points (2,4), (5,3) & (k,1). If these three points are collinear, then find value of k?

7. There were 37 employees in a company. If the month July has more number of birthdays than any other month then what is the number of birthdays in July? (Provided every month should have at least 3 birthdays)
Col A: Number of birthdays in July
Col B: 3

8. Given two parallel lines 'L1' and 'L2' which are cut by a transversal at 'B' and 'A' respectively. 'E' is a point on 'L2' such that angle BAE = 58. 'C' is a point on 'L1' on the other side of transversal as 'E' such that BC = CA.
Col A: Angle BCA
Col B: 60
Note: All angles are in degrees and figure was given.

9. Given a square with vertex ‘O’ and centre ‘C’, when rotated by 45degree with respect to vertex ‘O’ the centre is changed to ‘C1’.
Col A: Distance between centre’s ‘C’ & ‘C1’
Col B: {5*sqrt(2)}/2

10. Given following table

Data	Percentile
16.8	43th percentile
17.1	49th percentile
17.3	52th percentile
17.8	55th percentile
18.2	60th percentile

Find the median of the above observation?