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The factorial operation ! applied to a positive integer n denotes...

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The factorial operation ! applied to a positive integer n denotes... [#permalink]

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New post 31 Oct 2017, 20:42
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Difficulty:

  75% (hard)

Question Stats:

45% (01:03) correct 55% (00:51) wrong based on 29 sessions

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The factorial operation ! applied to a positive integer n denotes the product of all integers greater than or equal to 1 and less than or equal to n. If k = 1! + 2! + 3! + . . . + p! , where p is a prime number greater than 10, what is the remainder when k is divided by 4?

A) 0
B) 1
C) 2
D) 3
E) Cannot be determined.

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Re: The factorial operation ! applied to a positive integer n denotes... [#permalink]

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New post 31 Oct 2017, 21:47
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sasyaharry wrote:
The factorial operation ! applied to a positive integer n denotes the product of all integers greater than or equal to 1 and less than or equal to n. If k = 1! + 2! + 3! + . . . + p! , where p is a prime number greater than 10, what is the remainder when k is divided by 4?

A) 0
B) 1
C) 2
D) 3
E) Cannot be determined.


B will be the answer...

let P = 11
we can write the scenario as:
1! /4 + 2! /4 + 3!/4 ......................11 !/4
Now terms from 4 !/4 will be divided by 4 ..we can neglect those ..

So each time remainder will depend on (1! + 2! + 3! )/4 = 1(Remainder)

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: The factorial operation ! applied to a positive integer n denotes...   [#permalink] 31 Oct 2017, 21:47
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