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Difficulty:
35%
(medium)
Question Stats:
64% (01:32) correct
36%
(01:24)
wrong
based on 204
sessions
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Date
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Not Attempted Yet
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.
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(1) p is divisible by 4.
(2) n is divisible by 4.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
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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)
(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)
Posts: 177
Bunuel
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...
Posts: 1,142
rishabhmishra
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.
Posts: 22
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.
p = 40, n = 8: p/n = 40/8 = 5. Even.
p = 80, n = 4: p/n = 80/4 = 20. Odd.
Ans - E.
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Important question...
A silly yet serious mistake many of us make is to think that If p is divisible by n and both p and n are even ==>even then the result will be even
\(\frac{Even}{Even} = Even/Odd\) (as Even number multiplied by any number is always even)
The truth whereas is that the result may be either even or odd even if both Numerator and Denominator both are even
Also, note that on similar lines
\(\frac{Odd}{(even/Odd)}= Odd\)
A silly yet serious mistake many of us make is to think that If p is divisible by n and both p and n are even ==>even then the result will be even
\(\frac{Even}{Even} = Even/Odd\) (as Even number multiplied by any number is always even)
The truth whereas is that the result may be either even or odd even if both Numerator and Denominator both are even
Also, note that on similar lines
\(\frac{Odd}{(even/Odd)}= Odd\)
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