question: P and Q invested in a shop. The profits were divided in the ratio of 4 : 6 respectively. If P invested Rs. 55,000, the amount invested by Q is:
Options:
(A) 48000
(B) 40000
(C) 35000
(D) 60000
(E) None
answer: Stream of consciousness: Suppose Q invested Rs. y. Then, 50000/y = 4/6 or y = [50000 x 6/ 4] = 75000. The answer is (E).
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question: Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
Options:
(A) 9 minutes
(B) 7
(C) 6
(D) 5
(E) 4
answer: Stream of consciousness: Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1. x(2/75 + 1/45) + (30 - x). 2/75 = 1 11x/225 + (60 - 2x)/75 = 1 11x + 180 - 6x = 225. x = 9. The answer is (A).
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question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
(A) 70, 10 kmph
(B) 35, 27 kmph
(C) 50, 60 kmph
(D) 80, 20 kmph
(E) 45, 65 kmph
answer: Stream of consciousness: Speed of the boat in still water = (60+100)/2 = 80 kmph. Speed of the stream = (100-60)/2 = 20 kmph The answer is (D).
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question: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) (a b) 2 + 4ab
(B) a(a + b) + b(a + b)
(C) (a2 b2) + 2b(b + a)
(D) (a b) b + (a + b) 2b
(E) (a + b) 2 2a(a b) + a(2a 2b)
answer:
Stream of consciousness: The other parts are equal to (a + b)2. The answer is (D).
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