Gradutate Record Exam

1. If y(0.375) = 1, then (y^2 -1) = ?

2.

The radius of the smaller circle is 2 and radius of bigger circle is 5. If the tangent to the smaller circle intersects the bigger circle at ‘P’ and ‘Q’, then find the length of PR?

3. If 2 < a < 6 < b < 10 & the arithmetic mean of 3, 6, 9, a, b is 6.2, then
Col A: 6 - a
Col B: b - 6

4. If the total amount is calculated, by multiplying the number of goods and the price of each good, then if the number of goods is decreased by 20%, by what percentage must the price should increase to compensate the decrease?

5. Col A: The number of multiples of 7 which are not divisible by 6 from 1-100 inclusive.
Col B: 12

6. Given slope as 2.5 and a point on the line as (30, 50).
Col A: y-intercept
Col B: xxx (some value)

7. How many even integers have squares between 37 and 621?

8. Col A: The remainder when k is divided by 7
Col B: The remainder when 2k is divisible by 7

9. 3^-3+3^-2+3^-1 =
A. 3^-3
B. 3^-2
C. 13(3^-3)
D. 39(3^-3)

10. The Value of cube root of (-28) is...???

11. In 1990, the wages of the employees in a company is 'x'. If from 1990-1995, the increment of wages is 15% and from 1990-2000 the increment is 30% then
Col A: Percentage increment form 1995-2000
Col B: 15%

12. If y = 2- |X - 2| and -1 < = X < = 5, then
Col A: y
Col B: 12

13. If the area of triangle with vertices (k, k), (k+4s, k), (k, k+s) is 32, then the value of s is?

14. If |2 - k| = |2 + k|, then
Col A: k
Col B: 0

15. Given Set A = 1, 2, 3, 4, 5 ...m & Set B = 1, 2, 3 ...n where 'n' is even and 'm' is odd.
Col A: Percentage of odd numbers in A
Col B: Percentage of even numbers in B
16. If B is 1m to the east of A, C is 1m to the north of B, D is 1m to the east of C, E is 2m to the north of D, F is 1m to the east of E, then what is the shortest distance between A and F?

17. Let S1, S2, S3,…Sn be a series such that, Sn+1 = (1/2)Sn, then
Col A: S6 (2^14)
Col B: S20

18. If 1 - x < 0, then
Col A: x
Col B: -1/x

19.

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

20. Now if the month is June, then what is the month after 400 months?

21. If x > 0 & y > 0, then
Col A: sqrt(xy)
Col B: sqrt(x+y)

22. 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?

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

24. 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

25. If n > 10000, then
Col A: thousand's digit of n/8
Col B: 7

26. If f(n, k) = n!/(k!*(n-k)!), then
Col A: f(16,3)
Col B: f(16,14)

27. How many even integers have squares between 37 and 227?

28. In a distribution of 8500 parameters, if 26.7 is 56 percentile & 37.1 is 78 percentile, then what is the percentile of x (26.7 <= x <= 37), that is closest in this range?
A. 1888
B. 4750
C. 6650

29. Two equations are given
ax + by = c
ix + ky = j (Replacing a, b, c, i, k, j by some numbers)
1. The lines are parallel
2.They intersect at 90 deg
3.They intersect.
Which of the following are true
A. 1and 2
B. 2 and 3
C. 1, 2 and 3
& so on……..