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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # if the remainder is 27 when an integer is divided by 36  Question banks Downloads My Bookmarks Reviews Important topics
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Intern Joined: 30 Jul 2020
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if the remainder is 27 when an integer is divided by 36 [#permalink] 00:00

Question Stats: 100% (00:17) correct 0% (00:00) wrong based on 5 sessions

if the remainder is 27 when an integer is divided by 36, then the integer must be a multiple of which of the following integer?

A. 8
B. 7
C. 8
D. 9
E. 10

Manager Joined: 09 Mar 2020
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Kudos [?]: 140 , given: 16

Re: if the remainder is 27 when an integer is divided by 36 [#permalink]
A number is divided by 36, and the remainder is 27. Thus, number should be 36+27= 63.
Now divide this number with the given options, 7 and 9 can divide this option.
Now, try another number which when divided by 36 can give 27 as remainder, 36*2 = 72 + 27 = 99.
Now, only 9 can divide 99 completely. Thus, answer is D Manager Joined: 22 Jan 2020
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Kudos [?]: 53 , given: 8

Re: if the remainder is 27 when an integer is divided by 36 [#permalink]
Let y and m be integers

y/36=m+(27/36)
here m is the whole number part of the division and 27 is the remainder

therefore
y=36m+27
y=9(4m+3)

So y is divisible by 9, because 9 is a factor of y

Intern Joined: 25 Jul 2020
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Re: if the remainder is 27 when an integer is divided by 36 [#permalink]
Saraforgre wrote:

if the remainder is 27 when an integer is divided by 36, then the integer must be a multiple of which of the following integer?

A. 8
B. 7
C. 8
D. 9
E. 10

Since the problem states that the solution MUST be divisible by one of the answer choices, we know that it doesn't matter what value of n we use as long as there is a remainder of 27 when it's divided by 36. In that case, why not use the easiest test value of all, n=27? The only choice 27 is divisible by is 9 so the answer is D.

Alternatively, choose any multiple of 36, add 27 and see what it's divisible by. Re: if the remainder is 27 when an integer is divided by 36   [#permalink] 04 Aug 2020, 12:31
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# if the remainder is 27 when an integer is divided by 36  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.