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# What is the units digit of integer n?

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What is the units digit of integer n?  [#permalink]

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26 Apr 2016, 00:59
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25% (medium)

Question Stats:

76% (01:30) correct 24% (01:40) wrong based on 108 sessions

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What is the units digit of integer n?

(1) n×1/25=k, where k is an integer.
(2) n×1/26=x, where x is an integer.

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Re: What is the units digit of integer n?  [#permalink]

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26 Apr 2016, 03:33
From A) n = 25k Not helpful, unit place can be 5 or 0. A and D out. B C E remain
B) n = 26x. Again not helpful, can be 6,2, 8, 4, 0

But if we combine them,

n = 25k and n is even. Implies that unit place can only be 0.

C it is.
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Re: What is the units digit of integer n?  [#permalink]

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26 Apr 2016, 04:30
Bunuel wrote:
What is the units digit of integer n?

(1) n×1/25=k, where k is an integer.
(2) n×1/26=x, where x is an integer.

combining makes number in the form 0f 650A....where units digit is 0 for all values of A
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Re: What is the units digit of integer n?  [#permalink]

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28 Feb 2018, 20:37
What is the official answer of this question?
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Re: What is the units digit of integer n?  [#permalink]

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28 Feb 2018, 21:36
futurephilantropist wrote:
What is the official answer of this question?

The Official Answer (OA) is given under the spoiler in the first post (it's C).
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Re: What is the units digit of integer n?  [#permalink]

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02 Mar 2018, 22:52
Bunuel wrote:
What is the units digit of integer n?

(1) n×1/25=k, where k is an integer.
(2) n×1/26=x, where x is an integer.

IMO C From statement 1 we can say that n has unit digit 0 or 5 insufficient
statement 2 n can has unit digit 6,2,8,4 or 0 so still not sufficient
but combining both we know that n has unit digit 0 which is common in both the statement so C is sufficient
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Re: What is the units digit of integer n?  [#permalink]

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03 Mar 2018, 01:30
Statement 1 says it is divisible by 25. A number to be divisible by 25 should have either 5 or 0 in the unit's place.
Hence, statement 1 is insufficient.

Statement 2 says it is divisible by 26. A number to be divisible by 26 should have 6, 2, 8, 4, or 0 in the unit's place.
Hence, statement 2 is insufficient.

Now combining both statements we see only 0 digit is the common case in both.

Hence, the unit place should be 0. So, the answer is C.
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Re: What is the units digit of integer n?   [#permalink] 03 Mar 2018, 01:30
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