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# What is the remainder when p is divided by 10?

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Math Expert
Joined: 02 Sep 2009
Posts: 54371
What is the remainder when p is divided by 10?  [#permalink]

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30 Jul 2017, 22:43
1
2
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Difficulty:

75% (hard)

Question Stats:

42% (01:59) correct 58% (02:14) wrong based on 47 sessions

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What is the remainder when p is divided by 10?

(1) p^11 + 11^p, when divided by 10, leaves remainder 4.
(2) p^3, when divided by 10, leaves remainder 3.

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Joined: 21 Mar 2016
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Re: What is the remainder when p is divided by 10?  [#permalink]

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31 Jul 2017, 10:40
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Bunuel wrote:
What is the remainder when p is divided by 10?

(1) p^11 + 11^p, when divided by 10, leaves remainder 4.
(2) p^3, when divided by 10, leaves remainder 3.

stat2: last digit of p^3 is 3

only number ending with 7 when cubed will give u last digit as 3.... hence p divided by 10 will give 7 as remainder..

suff

stat1: no matter what number 11 is raised to,,,it will always be 1 and 7^11 gives 3 as last digit..
hence the sum has 4 as the last digit...

suff

ans D
Re: What is the remainder when p is divided by 10?   [#permalink] 31 Jul 2017, 10:40
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# What is the remainder when p is divided by 10?

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