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When a positive integer n is divided by 4, what is the remainder?

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When a positive integer n is divided by 4, what is the remainder? [#permalink]

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New post 15 Sep 2017, 01:59
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[GMAT math practice question]

When a positive integer n is divided by 4, what is the remainder?

1) The remainder is 5 when n is divided by 6.
2) The remainder is 7 when n is divided by 9.
[Reveal] Spoiler: OA

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Re: When a positive integer n is divided by 4, what is the remainder? [#permalink]

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New post 15 Sep 2017, 07:02
MathRevolution wrote:
[GMAT math practice question]

When a positive integer n is divided by 4, what is the remainder?

1) The remainder is 5 when n is divided by 6.
2) The remainder is 7 when n is divided by 9.


Answer is E
But the Q is flawed wherein the value of n will be different for both the statements..
1) R is 5 when n is div by 6
So R will be 5 when div by 2 or 3..
And 5=3+2, so R is 2 when n is div by 3.

2) R is 7 when n is div by 9.
So R will be 7 when div by 3..
And 7=6+1, so R is 1 when n is div by 3.


But SAME n cannot be giving different R when diiv by 3
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Re: When a positive integer n is divided by 4, what is the remainder? [#permalink]

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New post 15 Sep 2017, 08:27
Statement 1 - n=6x+5 and the values n can take are 5,11,17,23,29,35 and so on. And when these values are divided by 4, the remainder is either 1 or 3. So the same is insufficient.
Statement 2 - n=9y+7 and n can take values of 7,16,25,34,43,52 and so on and when these values are divided by 4, different remainders come, i.e 3,0,1,2,3,0 and so on and hence insufficient.
Statememt 1+2 - still not sufficient to answer hence answer is E.

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Re: When a positive integer n is divided by 4, what is the remainder? [#permalink]

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New post 17 Sep 2017, 18:43
=>

Condition 1)
The divisor 6 of the condition 1) is not a multiple of 4, which is the divisor of the question.
This is not sufficient.

Condition 2)
The divisor 9 of the condition 2) is not a multiple of 4, which is the divisor of the question.
This is not sufficient.

Condition 1) & 2)
The LCM of 6 and 9 which are divisors of both conditions is 18. 18 is not a multiple of 4. Thus both conditions together are not sufficient.


Ans: E
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Re: When a positive integer n is divided by 4, what is the remainder?   [#permalink] 17 Sep 2017, 18:43
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