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# What is the remainder when 25 is divided by positive integer j?

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Math Expert
Joined: 02 Sep 2009
Posts: 53063
What is the remainder when 25 is divided by positive integer j?  [#permalink]

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28 Mar 2016, 01:28
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Difficulty:

25% (medium)

Question Stats:

77% (01:09) correct 23% (01:13) wrong based on 142 sessions

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What is the remainder when 25 is divided by positive integer j?

(1) j is even.

(2) j < 9

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Joined: 01 Mar 2014
Posts: 112
Schools: Tepper '18
Re: What is the remainder when 25 is divided by positive integer j?  [#permalink]

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28 Mar 2016, 02:45
Bunuel wrote:
What is the remainder when 25 is divided by positive integer j?

(1) j is even.

(2) j < 9

Statement 1) j is even

Lets assume j = 24, 25/j = 25/24, remainder =1; or j = 22, 25/22, remainder = 3 - not sufficient

Statement 2) j<9
j could be 8 in which case remainder is 1 (25/8), or j could be 7 in which case remainder is 4 (25/7) - not sufficient

Combining statements 1) and 2) - j is even and less than 9.
Therefore all possible values of j are = 2,4,6,8 and in all the cases the remainder is 1 - sufficient

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Re: What is the remainder when 25 is divided by positive integer j?  [#permalink]

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18 Dec 2017, 22:02
Bunuel wrote:
What is the remainder when 25 is divided by positive integer j?

(1) j is even.

(2) j < 9

(1) Lets say j=2, then remainder when we divide 25 by j is 1. But if j=10, then the remainder becomes 5. So Insufficient.

(2) j<9. If we take j=6, the remainder is 1. But if we take j=7, the remainder is 4. So Insufficient.

Combining the two statements, j is an even positive integer less than 9. So j could be one of 2, 4, 6, 8. Interestingly, when 25 is divided by any of these 4 integers, the remainder is always same, its '1'. So Sufficient to answer.

Re: What is the remainder when 25 is divided by positive integer j?   [#permalink] 18 Dec 2017, 22:02
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