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20 Mar 2018, 01:01
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
69% (01:07) correct
31%
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Which of the following numbers is the least positive integer that is not a prime and is not a factor of 15!
(A) 14
(B) 22
(C) 19
(D) 34
(E) 38
(A) 14
(B) 22
(C) 19
(D) 34
(E) 38
20 Mar 2018, 01:39
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Bunuel
Which of the following numbers is the least positive integer that is not a prime and is not a factor of 15!
(A) 14
(B) 22
(C) 19
(D) 34
(E) 38
(A) 14
(B) 22
(C) 19
(D) 34
(E) 38
Since we're asked 'which of the following' we'll just use the answers!
This is an Alternative approach.
Starting with the least, 14. 14 is not a prime but it is a factor of 15!. NO
The next least: 19. 19 is a prime. NO
Next: 22 is not a prime and factors into 11*2. Then it is also a factor of 15!. NO
Next: 34 is not a prime and factors into 17*2. Then it is not a factor of 15!. YES
(D) is our answer.
20 Mar 2018, 02:13
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Bunuel
Which of the following numbers is the least positive integer that is not a prime and is not a factor of 15!
(A) 14
(B) 22
(C) 19
(D) 34
(E) 38
(A) 14
(B) 22
(C) 19
(D) 34
(E) 38
Using the principle of elimination - POE method. Since the question asks for not a prime & not a factor of 15! ... both the statements should hold true for a Correct answer however... even if one statement fails we can discard the answer choice
(A) 14 factor of 15!- discard
(B) 22 = 11*2 -> factors of 15! - discard
(C) 19 Prime - discard
(D) 34 = 17*2 -> 2 is a factor but 17 is not... keep
(E) 38 = 19*2 -> same as above , 19 is not a factor of 15! ... keep
between 34 and 38 -> question is looking for the LEAST POSITIVE INT hence 38 is discarded.
Hence D.
Best,
Gladi
