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Updated on: 07 Nov 2019, 23:23
Originally posted by thesaifeye on 04 Nov 2019, 21:46.
Last edited by Bunuel on 07 Nov 2019, 23:23, edited 3 times in total.
Last edited by Bunuel on 07 Nov 2019, 23:23, edited 3 times in total.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
76% (00:33) correct
24%
(00:30)
wrong
based on 71
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Is the positive integer m divisible by 6?
(1) m is divisible by 3
(2) m is divisible by 4
(1) m is divisible by 3
(2) m is divisible by 4
07 Nov 2019, 12:40
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thesaifeye
(1) m is divisible by 3
if m = 3 , ans is NO
if m = 6, and is yes
INSUFF
(2) m is divisible by 4
if m is 4 , Ans is NO
if m is 24, Ans is yes
INSUFF
1+2
Taking the LCM of 4 and 3 we see that m is a multiple of 12
hence m will always be divisible by 6
SUFF.
Ans- C
07 Nov 2019, 12:48
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thesaifeye
Test cases!
Statement 1: m could be 3, in which case the answer is 'no'. Or, m could be 6, in which case the answer is 'yes'. Two different answers = not sufficient. Eliminate A and D.
Statement 2: m could be 4, in which case the answer is 'no'. Or, m could be 12, in which case the answer is 'yes'. Two different answers = not sufficient. Eliminate B.
Statements 1 and 2 together: If you aren't sure about the theory, try some numbers that are divisible by both. One way to do this would be just listing numbers:
divisible by 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
divisible by 4: 4, 8, 12, 16, 20, 24, 28, 32, ...
On both lists: 12, 24, ...: all will be divisible by 6, so the answer will be 'yes'. The statements together are sufficient.
Or, with some Number Properties: a number divisible by 3 will have 3 as one of its prime factors. A number divisible by 4 will be even. An even number that's divisible by 3 will definitely be divisible by 6, so the answer will be yes. The answer here is C.
