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# What is the last digit of the positive integer n ?

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Senior Manager
Joined: 02 Jan 2017
Posts: 312
What is the last digit of the positive integer n ?  [#permalink]

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02 Mar 2017, 22:35
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Difficulty:

45% (medium)

Question Stats:

60% (00:53) correct 40% (00:48) wrong based on 52 sessions

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What is the last digit of the positive integer n ?

(1) The last digit of n equals the last digit of n^2.

(2) n is an even number.
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Joined: 05 Mar 2015
Posts: 991
Re: What is the last digit of the positive integer n ?  [#permalink]

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02 Mar 2017, 23:30
vikasp99 wrote:
What is the last digit of the positive integer n ?

(1) The last digit of n equals the last digit of n^2.

(2) n is an even number.

combining both statements
last digit of n could be 0 or 6

not suff

Ans E
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Re: What is the last digit of the positive integer n ?  [#permalink]

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03 Mar 2017, 15:59
Statement (1) The last digit of n equals the last digit of n^2.

As per this statement, N can be any number whose unit's digit is 0, 1, 5 or 6. Example: 0, 1, 5, 6, 10, 11, 15, 16...

As there are multiple values of n, hence this statement is insufficient.

Statement (2) n is an even number.

There are multiple even numbers having different unit's digit. Hence this statement is insufficient

Combining both statements, we still get numbers having unit's digit as 0 or 6 as possible values of n. Hence combining both statements also is insufficient.

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

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04 Mar 2017, 06:19
St 1: last digit of n = last digit of n^2. possible unit digit will be 1 and 6. Insufficient
St 2: Last digit is even. Possible value will be 4 and 6 INSUFFICIENT

St and St 2: we have the value of unit's digit as 6. ANSWER

Option C
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Re: What is the last digit of the positive integer n ? &nbs [#permalink] 04 Mar 2017, 06:19
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