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Is integer X a multiple of 5? 1) X divided by 3 leaves a remainder o

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Is integer X a multiple of 5? 1) X divided by 3 leaves a remainder o  [#permalink]

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New post Updated on: 22 Mar 2016, 13:01
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

73% (01:48) correct 27% (01:53) wrong based on 37 sessions

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Is integer X a multiple of 5?

1) X divided by 3 leaves a remainder of 2.
2) X divided by 4 leaves no remainder.

Originally posted by Heseraj on 22 Mar 2016, 12:50.
Last edited by ENGRTOMBA2018 on 22 Mar 2016, 13:01, edited 1 time in total.
Reformatted the question and added the OA.
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Is integer X a multiple of 5? 1) X divided by 3 leaves a remainder o  [#permalink]

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New post 22 Mar 2016, 13:18
Heseraj wrote:
Is integer X a multiple of 5?

1) X divided by 3 leaves a remainder of 2.
2) X divided by 4 leaves no remainder.


Follow posting guidelines (link in my signatures), especially for choosing the correct forum to post your questions, adding the proper tags and formatting the question properly.

As for the question,

You are given that x is an integer and the question asks whether x=5p , where p is an integer \(\geq\) 0

Per statement 1, x=3q+2 ---> x=2,5,8,11,14,17,20 etc ---> You get both "yes" if x=5 or 20 and "no" if x=2 or 8. Thus, NOT sufficient.

Per statement 2, x=4r ---> x=4,8,12,16,20 etc ---> You get both "yes" if x= 20 and "no" if x=4 or 8. Thus, NOT sufficient.

Combining the 2 statements, you end up getting common values as x=8 or 20, again giving you 2 different answers to the question asked. NOT sufficient.

Thus, E is the correct answer.

Hope this helps.
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Re: Is integer X a multiple of 5? 1) X divided by 3 leaves a remainder o  [#permalink]

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New post 22 Mar 2016, 15:38
Thank you very much. It does help.
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Re: Is integer X a multiple of 5? 1) X divided by 3 leaves a remainder o  [#permalink]

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New post 28 May 2020, 16:59
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Re: Is integer X a multiple of 5? 1) X divided by 3 leaves a remainder o   [#permalink] 28 May 2020, 16:59

Is integer X a multiple of 5? 1) X divided by 3 leaves a remainder o

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