Gradutate Record Exam

1. The probability of a girl getting a line busy every time when she calls is 1/3 and if she makes one call on each of 4 consecutive days, then
Col A: Probability of getting the line busy on each of the 4 days
Col B: ¼

2. For a rectangle, if the breadth is 9 & A(area)+L(length) = 130, then the area of the rectangle 'A' is?

3. Given a Parallelogram with sides of 10 and 16.
Col A: Area of parallelogram
Col B: 160

4. If 1/x + 1/y = 3, then
Col A: 3xy
Col B: x+y

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

6. 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

7. 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 20percent, then by what percentage must the price should increase to compensate the decrease?

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

9. If 'x' is 130percent of 'y', then 'y' is what percentage of x?

10. If the point P(x, y) is equidistant from points (3, 1) and (3, 4), then
Col A: The x-coordinate of P
Col B: 2

11. Given that, some 'x' shares were there and price per share was t$. If x>20 and the first 20 shares were sold at price (t+1)$ while remaining at t+4, then
Col A: The net profit
Col B: (t+40)
(Question is similar to this)

12.

Given a figure like above, here PQRS is a square of length 10 and the line VT is the perpendicular to the diameter of the semicircle PQ and it is also given that PU = 2, then find the length of VT?

13. If there is a list of some numbers, whose mean is 10.8 and standard deviation is '0', then
Col A: Range of that list
Col B: 0

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 odd and 'm' is even
Col A: Percentage of odd numbers in A
Col B: Percentage of even numbers in B

16. 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. 4500
C.3500
D. 6650

17. If 14percent people have ovens and 27percent have washing machines, then what is the range of the people having neither oven nor washing machines?
A. 0-14percent
B. 27-41percent
C. 59-73percent
D. 73-86percent

18. Two lines L1 and L2 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