question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?
Options:
(A) 18
(B) 22
(C) 42
(D) 41
(E) 74
answer: Stream of consciousness: The correct answer should not take the form: 4x + 2. Hence, it is The answer is (D).
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question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Options:
(A) 17/91
(B) 33/91
(C) 51/91
(D) 65/91
(E) None of these
answer: Stream of consciousness: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = C/C = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91 The answer is (B).
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question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 3 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 2/1
(B) 3/8
(C) 8/5
(D) 5/8
(E) 5/3
answer: Stream of consciousness: Distance traveled by Eddy = 600 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 600/3 = 200 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 3 hours
Average speed of Freddy = 300/3 = 100 km/hour
Ratio of average speed of Eddy to Freddy = 200/100 = 2/1 The answer is (A).
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question: How much more would Rs.40000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 482
(B) 725
(C) 964
(D) 837
(E) 923
answer:
Stream of consciousness: 40000(11/10)4 - 40000(6/5)2 = 964 The answer is (C).
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