question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is
Options:
(A) 10/17
(B) 10/19
(C) 46/105
(D) 11/15
(E) Cannot be determined
answer: Stream of consciousness: There is no definite formula for finding prime numbers among 15 consecutive numbers. Hence the probability cannot be determined. The answer is (E).


q: 1,2,4,7,_,16
Options:
(A) 11
(B) 9
(C) 10
(D) 12
(E) 13
a: Stream of consciousness: Each new number is the same as the last number with the adder growing by 1. This would yield 11. The answer is (A).


question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
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Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720
answer: Stream of consciousness: 4C3 * 5C2 * 3C2 = 4*60*3 = 720. The answer is (E).


q: Find the smallest number which should be multiplied with 13225 to make it a perfect square.
Options:
(A) 25
(B) 5
(C) 1
(D) 23
(E) 6
a: Stream of consciousness: 13225 = 5*5*23*23
Required smallest number = 1
1 is the smallest number which should be multiplied with 13225 to make it a perfect square. The answer is (C).


question: 123 : 36 : : 221 : ?
Options:
(A) 52
(B) 69
(C) 72
(D) 25
(E) 32
answer: Stream of consciousness: (1+2+3)^2 = 36
(2+2+1)^2 = 25 The answer is (D).


question: The distance between West-Town to East-Town is 15 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 2 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
Options:
(A) 3.
(B) 7.
(C) 10.
(D) 12.
(E) 15.
answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: Time taken by the birds to meet = 15/(2 + 1) = 5 mins
Distance traveled by the bird traveling from West-Town = 2 * 5 = 10 The answer is (C).