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p is an integer; n is an integer; and p/n is an integer. Is p/n odd?

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p is an integer; n is an integer; and p/n is an integer. Is p/n odd? [#permalink]

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New post 08 Feb 2018, 23:40
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A
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C
D
E

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  55% (hard)

Question Stats:

64% (01:18) correct 36% (01:11) wrong based on 64 sessions

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p is an integer; n is an integer; and p/n is an integer. Is p/n odd? [#permalink]

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New post 09 Feb 2018, 00:13
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p is an integer; n is an integer; and p/n is an integer. Is p/n odd?

(1) p is divisible by 4.
There is no information given about the integer n(Insufficient)

(2) n is divisible by 4.
There is no information given about the integer p(Insufficient)

On combining the information given in both the statements,
we can't clearly say is p/n is odd or even

Case 1(When p/n is odd)
Let p be 12(which is divisible by 4 as per statement 1)
and n be 4(which is divisble by 4 as per statement 2)
p/n = 12/4 = 3

Case 2(When p/n is even)
Let p be 8(which is divisible by 4 as per statement 1)
and n be 4(which is divisble by 4 as per statement 2)
p/n = 8/4 = 2 (Insufficient - Option E)
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Re: p is an integer; n is an integer; and p/n is an integer. Is p/n odd? [#permalink]

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New post 10 Feb 2018, 00:09
Bunuel wrote:
p is an integer; n is an integer; and p/n is an integer. Is p/n odd?

(1) p is divisible by 4.
(2) n is divisible by 4.

I think both statement is insufficient as according to statement 1 p can be 0,4,8,12,16,20.....but don't know about q
statement 2 n is divisible by 4 but we don't know about p
and according to c lets take p as 8 and n as 4 so result is integer and even
and if we take p as 12 and n as 4 result is odd. so E is the answer Oa PLZ...
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p is an integer; n is an integer; and p/n is an integer. Is p/n odd? [#permalink]

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New post 10 Feb 2018, 01:08
rishabhmishra wrote:
Bunuel wrote:
p is an integer; n is an integer; and p/n is an integer. Is p/n odd?

(1) p is divisible by 4.
(2) n is divisible by 4.

I think both statement is insufficient as according to statement 1 p can be 0,4,8,12,16,20.....but don't know about q
statement 2 n is divisible by 4 but we don't know about p
and according to c lets take p as 8 and n as 4 so result is integer and even
and if we take p as 12 and n as 4 result is odd. so E is the answer Oa PLZ...


Hi

As it says in the question, OA will be revealed on 15th feb. But most likely answer will be E, as explained by you and the post above you.
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Re: p is an integer; n is an integer; and p/n is an integer. Is p/n odd? [#permalink]

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New post 10 Feb 2018, 03:14
Easy if we plug in some values, as clearly the statements individually aren't sufficient.
p = 40, n = 8: p/n = 40/8 = 5. Even.
p = 80, n = 4: p/n = 80/4 = 20. Odd.

Ans - E.
Re: p is an integer; n is an integer; and p/n is an integer. Is p/n odd?   [#permalink] 10 Feb 2018, 03:14
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p is an integer; n is an integer; and p/n is an integer. Is p/n odd?

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