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# What is the remainder when a positive integer w is divided by 2?

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Math Expert
Joined: 02 Sep 2009
Posts: 50619
What is the remainder when a positive integer w is divided by 2?  [#permalink]

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25 Oct 2016, 22:37
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Difficulty:

25% (medium)

Question Stats:

74% (01:01) correct 26% (00:58) wrong based on 121 sessions

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What is the remainder when a positive integer w is divided by 2?

(1) w is a multiple of an odd integer.

(2) w is a multiple of 5.

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Joined: 05 Mar 2015
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Re: What is the remainder when a positive integer w is divided by 2?  [#permalink]

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25 Oct 2016, 23:38
Bunuel wrote:
What is the remainder when a positive integer w is divided by 2?

(1) w is a multiple of an odd integer.

(2) w is a multiple of 5.

(1) if w=5*1=5-----remainder is 1
if w=5*2=10-----remainder is 0------>not suff..

(2) same as above

combining both ...same as above examples.......not suff

Ans E
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Joined: 05 Mar 2016
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Re: What is the remainder when a positive integer w is divided by 2?  [#permalink]

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31 Oct 2016, 07:09
Agree.

Both statements provide almost the same information, as 5 is and odd number. Both are insufficient.
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Re: What is the remainder when a positive integer w is divided by 2?  [#permalink]

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09 Dec 2017, 07:56
Bunuel wrote:
What is the remainder when a positive integer w is divided by 2?

(1) w is a multiple of an odd integer.

(2) w is a multiple of 5.

If w is odd, remainder would be 1 and if w is even, remainder would be 0. All we need to know is whether w is odd or even.

(1) w is multiple of an odd integer, but is it an odd multiple of that integer or is it even multiple of that integer - thats not given so we cant say. Eg, take an odd integer say 5. Both 15 and 20 are multiples of 5 (thus both 15/20 classify as multiples of an odd integer) but one of them is odd and other is even. So we cant say. Insufficient.

(2) w is a multiple of 5, again we cant say whether its an odd multiple of 5 (like 15) or an even multiple of 5 (like 20). So Insufficient.

Even after combining the two statements, we cant figure out whether w is an odd multiple of 5 or an even multiple of 5 (as already explained). Data is thus insufficient.

Re: What is the remainder when a positive integer w is divided by 2? &nbs [#permalink] 09 Dec 2017, 07:56
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