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29 Apr 2019, 02:48
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E
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Difficulty:
25%
(medium)
Question Stats:
77% (02:07) correct
23%
(02:44)
wrong
based on 282
sessions
History
Date
Time
Result
Not Attempted Yet
When m is divided by 6, the remainder is 3 and when n is divided by 12, the remainder is 9, where m and n are positive integers. Which of the following could be the value of m+n?
I. 72
II. 108
III. 180
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I, II, and III
I. 72
II. 108
III. 180
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I, II, and III
globaldesi
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29 Apr 2019, 03:22
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m is of the form 6k+3 or 3,9,15
N is of the form 12l+9 or 9,21,45
M+n should be definitely of form 9l
We see above all three options are multiple of 9 thus all three are possible values of m+n . Hence e
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N is of the form 12l+9 or 9,21,45
M+n should be definitely of form 9l
We see above all three options are multiple of 9 thus all three are possible values of m+n . Hence e
Posted from my mobile device
eswarchethu135
GMAT 2: 640 Q49 V27
Posts: 276
29 Apr 2019, 03:45
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m = 6a + 3
n = 12b + 9
m + n = 6a + 12b + 12
= 6(a + 2b + 2)
From the above eq, we can say that m + n should definitely be a 6 multiple.
From the options given, all are 6 multiples (72, 108, 180).
OPTION: E
n = 12b + 9
m + n = 6a + 12b + 12
= 6(a + 2b + 2)
From the above eq, we can say that m + n should definitely be a 6 multiple.
From the options given, all are 6 multiples (72, 108, 180).
OPTION: E
