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# If X and N are positive integers, what is the remainder when X is

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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
If X and N are positive integers, what is the remainder when X is  [#permalink]

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02 Jul 2018, 10:11
1
2
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:31) correct 28% (01:09) wrong based on 49 sessions

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If X and N are positive integers, what is the remainder when X is divided by N?

(1) X is the product of a prime number and its reciprocal.

(2) N is the sum of first two positive multiples of 3.
SVP
Joined: 26 Mar 2013
Posts: 1911
Re: If X and N are positive integers, what is the remainder when X is  [#permalink]

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02 Jul 2018, 10:24
2
amanvermagmat wrote:
If X and N are two positive integers, what is the remainder when X is divided by N?

(1) X is the product of a prime number and its reciprocal.

(2) N is the sum of first two positive multiples of 3.

Hi amanvermagmat

What is you source of the question?

You really post high quality questions .
##### General Discussion
Intern
Joined: 26 Dec 2017
Posts: 31
Schools: LBS MiM '20 (II)
GMAT 1: 700 Q50 V34
Re: If X and N are positive integers, what is the remainder when X is  [#permalink]

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03 Jul 2018, 18:24
1
For those who picked A: you fell into the trap!
When you have two positive integers, the classic trap answer is that you assume they are different.

So whenever you have a question mentioning just about two integers think of two cases :
1- The integers are different
2- The integers are the same

Here if the integers are different statement 1 would be sufficient, but it is not mentioned anywhere. So the integers could actually be the same and thus Statement 1 is not sufficient!
Senior Manager
Joined: 24 Nov 2014
Posts: 275
GMAT 1: 800 Q51 V51
Re: If X and N are positive integers, what is the remainder when X is  [#permalink]

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03 Jul 2018, 20:08
The low hit rate on this question is resulting from the fact that this question is flawed.

The question says that X and N are "two positive integers."

If they are "two positive integers" they have to be different. If they were the same number, they would not be two positive integers. You would have one integer twice.

While, possibly, one could somehow make the case that, with the wording "two positive integers," X and N could be the same, the truth is that, with the current wording, the case for saying that they must be different is too strong for the question to work.

So, the question has to be edited.

Try changing it to simply "If X and N are positive integers ..."

I bet that, with that wording, the percentage correct will increase substantially.
_________________

Marty Murray
GMAT Coach
m.w.murray@hotmail.com
http://infinitemindprep.com

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
Re: If X and N are positive integers, what is the remainder when X is  [#permalink]

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03 Jul 2018, 20:30
1
MartyMurray wrote:
The low hit rate on this question is resulting from the fact that this question is flawed.

The question says that X and N are "two positive integers."

If they are "two positive integers" they have to be different. If they were the same number, they would not be two positive integers. You would have one integer twice.

While, possibly, one could somehow make the case that, with the wording "two positive integers," X and N could be the same, the truth is that, with the current wording, the case for saying that they must be different is too strong for the question to work.

So, the question has to be edited.

Try changing it to simply "If X and N are positive integers ..."

I bet that, with that wording, the percentage correct will increase substantially.

Thank you, I have edited the question.
Senior Manager
Joined: 24 Nov 2014
Posts: 275
GMAT 1: 800 Q51 V51
If X and N are positive integers, what is the remainder when X is  [#permalink]

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04 Jul 2018, 15:25
At the moment, 57% of people answering this question have answered correctly, and 43% have chosen the wrong choice.

The 57% who have answered correctly have taken, on average, 1:42 to answer.

The 43% who have not answered correctly have taken, on average, 0:21 to answer.

Being CAREFUL is a huge aspect of what it takes to score high on the GMAT.
_________________

Marty Murray
GMAT Coach
m.w.murray@hotmail.com
http://infinitemindprep.com

If X and N are positive integers, what is the remainder when X is &nbs [#permalink] 04 Jul 2018, 15:25
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# If X and N are positive integers, what is the remainder when X is

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