question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Options:
(A) 128
(B) 150
(C) 887
(D) 279
(E) 771
answer: Stream of consciousness: 1/2 * 20(9 + 6) = 150 cm2 The answer is (B).

q: A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event
'the number appearing is even' then find whether G and H are independent ?
Options:
(A) G and H are not independent events.
(B) G and H are independent events.
(C) Only G independent event
(D) Only H independent event
(E) None
a: Stream of consciousness: We know that the sample space is S = {1, 2, 3, 4, 5, 6}
Now G = { 3, 6}, F = { 2, 4, 6} and E n F = {6}
Then P(G) = 2/6 = 1/3
P(H) = 3/6 = 1/2 and P(G H) = 1/6
P(G n H) = P(G). P (H)
G and H are independent events. The answer is (B).

question: The edge of a cube is 6a cm. Find its surface?
Options:
(A) 116a2 cm2
(B) 126a2 cm2
(C) 256a2 cm2
(D) 150a2 cm2
(E) 216a2 cm2
answer: Stream of consciousness: 6a2 = 6 * 6a * 6a = 216a2 The answer is (E).

q: Which of these numbers is different from the others?
Options:
(A) 678
(B) 690
(C) 696
(D) 702
(E) 708
a: Stream of consciousness: All of the numbers are multiples of 6. 702 is the only number that is also a multiple of 9. The answer is (D).

question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 600. How much did he have with him in the beginning?
Options:
(A) s 200
(B) s 1500
(C) s 300
(D) s 450
(E) s 550
answer: Stream of consciousness: Suppose the amount in the beginning was Rs 'x'
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 100 = 1500 The answer is (B).

question: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 7 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Options:
(A) 30
(B) 20
(C) 18
(D) 12
(E) 6
answer:
Stream of consciousness: 21-12 < no of hrs < 21-6
9< no of hrs < 14. The answer is (D).