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11 Oct 2016, 02:17
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (01:57) correct
37%
(01:52)
wrong
based on 175
sessions
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Time
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Not Attempted Yet
Is three digit integer n divisible by 12?
(1) n is divisible by 4.
(2) The hundreds digit and the units digit of n are divisible by 3.
(1) n is divisible by 4.
(2) The hundreds digit and the units digit of n are divisible by 3.
11 Oct 2016, 03:08
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Answer is E.
We know that an integer divisible by 12 must be also divisible by all the 12 factors: 1,2,3,4,6 and 12. Hence: Must be EVEN, Their last 2 digits must be Divisible by 4 and the Sum of their digits must be a multiple of 3.
1) Lets Pick N=400, Divisible by 4 but it is not divisible by 3---->Not SUFF.
2) Lets Pick N=303, The hundreds digit and the units digit of n are divisible by 3 but is NOT EVEN.
Lets Pick N=336, The hundreds digit and the units digit of n are divisible by 3 and it is but it is EVEN.
We have 2 Different numbers--->Not SUFF.
Lets try C and use the info Together:
As we know the last digit must be multiple of 3 and Even so It is 6. The digit we are looking for _ _ 6. We also know the first digit must be 3,6 or 9 ----> 3_6; 6_6; 9_6. And we also know that the last two digits must be a multiple of 4. So terminating in 6 we only have 16,56 or 96.
The digit must be:
316 616 916
356 656 656
396 696 996
Lets Pick 316: 3+1+6=10 so it is not divisible by 3
Lets Pick 396: 3+9+6=18 divisible by 3
Two different numbers with two different outcomes---> Still Not SUFF--->ANSWER IS E
We know that an integer divisible by 12 must be also divisible by all the 12 factors: 1,2,3,4,6 and 12. Hence: Must be EVEN, Their last 2 digits must be Divisible by 4 and the Sum of their digits must be a multiple of 3.
1) Lets Pick N=400, Divisible by 4 but it is not divisible by 3---->Not SUFF.
2) Lets Pick N=303, The hundreds digit and the units digit of n are divisible by 3 but is NOT EVEN.
Lets Pick N=336, The hundreds digit and the units digit of n are divisible by 3 and it is but it is EVEN.
We have 2 Different numbers--->Not SUFF.
Lets try C and use the info Together:
As we know the last digit must be multiple of 3 and Even so It is 6. The digit we are looking for _ _ 6. We also know the first digit must be 3,6 or 9 ----> 3_6; 6_6; 9_6. And we also know that the last two digits must be a multiple of 4. So terminating in 6 we only have 16,56 or 96.
The digit must be:
316 616 916
356 656 656
396 696 996
Lets Pick 316: 3+1+6=10 so it is not divisible by 3
Lets Pick 396: 3+9+6=18 divisible by 3
Two different numbers with two different outcomes---> Still Not SUFF--->ANSWER IS E
ProfX
Joined: 24 Jul 2016
Last visit: 03 Dec 2017
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Location: United States (MI)
Schools: Ross Evening MBA"20 (A)
GMAT 1: 730 Q51 V40
GPA: 3.6
11 Oct 2016, 03:50
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