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Which of the following is a multiple of 6^2?

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Which of the following is a multiple of 6^2? [#permalink] New post 22 Oct 2017, 06:11
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Question Stats:

44% (00:32) correct 55% (01:06) wrong based on 9 sessions
Which of the following is a multiple of 6^2?

(A) 36,045

(B) 43,623

(C) 52,224

(D) 89,892

(E) 92,044



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[Reveal] Spoiler: OA
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Re: Which of the following is a multiple of 6^2? [#permalink] New post 30 Oct 2017, 14:53
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Expert's post
Bunuel wrote:
Which of the following is a multiple of 6^2?

(A) 36,045

(B) 43,623

(C) 52,224

(D) 89,892

(E) 92,044



Kudos for correct solution.


6² = 36
So, the question is asking "Which of the following is a multiple of 36?"

First off, 36 is EVEN, which means all multiples of 36 are EVEN.
A and B are ODD numbers, so ELIMINATE A and B

Second, 36 is a multiple of 9, which means all multiples of 36 are also multiples of 9.
In other words, the correct answer must be divisible by 9

If a number is divisible by 9, the sum of its digits must be divisible by 9

Check the remaining answer choices...
(C) 52,224
5+2+2+2+4 = 15
15 is NOT divisible by 9, which means 52,224 is NOT divisible by 9
ELIMINATE C

(D) 89,892
8+9+8+9+2 = 36
36 IS divisible by 9, which means 89,892 IS divisible by 9
KEEP D

(E) 92,044
9+2+0+4+4 = 19
19 is NOT divisible by 9, which means 92,044 is NOT divisible by 9
ELIMINATE E

Answer: D

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: Which of the following is a multiple of 6^2? [#permalink] New post 11 May 2018, 06:46
Or one could have used the calculator and divide each no with 36 to have the remainder as 0.

Which of the option divides completely is the right answer.. option D is the answer.
Re: Which of the following is a multiple of 6^2?   [#permalink] 11 May 2018, 06:46
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Which of the following is a multiple of 6^2?

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