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# Is the integer N divisible by 36?

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Math Expert
Joined: 02 Sep 2009
Posts: 50009
Is the integer N divisible by 36?  [#permalink]

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18 Apr 2017, 23:58
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Difficulty:

15% (low)

Question Stats:

92% (00:43) correct 8% (00:51) wrong based on 58 sessions

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Is the integer N divisible by 36?

(1) N is divisible by 9.
(2) N is divisible by 8.

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Re: Is the integer N divisible by 36?  [#permalink]

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19 Apr 2017, 00:23
Is the integer N divisible by 36?

For N to be divisible by 36, N must be divisible by 9 and 4.

(1) N is divisible by 9.

This statement tell us that N is divisible by 9, but does not tell us whether it is also divisible by 4. Hence this statement is not sufficient.

(2) N is divisible by 8.

This statement tell us that N is divisible by 4, but does not tell us whether it is also divisible by 9. Hence this statement is not sufficient.

Combining both statements together we know that N is divisible by 9 and 4.

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Joined: 02 Sep 2016
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Re: Is the integer N divisible by 36?  [#permalink]

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19 Apr 2017, 03:12
The question is asking: Does N has at least 2^2* 3^2 as its factors?

1) Don't know anything about 2.
Insufficient.

BCE

2) Don't know anything about 3.

Both the statements together are sufficient to answer this question. Hence the answer is C.
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Re: Is the integer N divisible by 36?  [#permalink]

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19 Apr 2017, 12:54
1 is insufficient because we do not know the exact value
2 once again is insufficient because we do not know the exact value
1 & 2 together are sufficient. n is divisible by 36. The lcm of 9 & 8 is 72 and 72/36 = 2.
N could be a multiple of 72. It would still be divisible by 36.

Re: Is the integer N divisible by 36? &nbs [#permalink] 19 Apr 2017, 12:54
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