Is N/2 an odd integer? (1) 2N is even (2) N is even

Question

Is N/2 an odd integer?

(1) 2N is even.
(2) N is even.

Bunuel · Answer

Yes, N must be even in order N/2 to be an odd integer but, N being even doesn't guarantee that N/2 is odd (so converse is not true).

For example:
If N=4, which satisfies both statements, then N/2=2=even, not odd;
If N=2, which satisfies both statements, then N/2=1=odd;
Two different answers not sufficient.

Answer: E.

Hope it's clear.

Yalephd · Answer

Consider the case where N is 6. N/2 is odd.
What about when N is 4. N/2 is even.
(1) is not sufficient.

You can use the same examples above to evaluate statement 2.
(2) is not sufficient.

Combining the information in both statements is also insufficient.
N could be 4 or 6 and result in N/2 being odd or even.

jlgdr · Answer

Let's try this one by plugging some numbers so as to make solution more practicals. 2N is even, for statement 1 we have that if n is 1 then the answer is no, in fact n/2 is not even an integer. But if answer is N=2 then we have that N/2 is in fact odd hence insufficient.

Statement 2 we have that N is even same here. If N =2 then we have that N/2 is an odd integer but if N=4 then N/2 is even integer hence insufficient. Both statements together, we could try similar cases. Say N=2 then answer is yes, say N equals 4 then answer becomes no.

Therefore correct answer choice is E. 
Hope this helps

Cheers
J

stonecold · Answer

Nice Question
Here taking x=2 and x=4
we can mark E

Abhishek009 · Answer

Plug in numbers and check

FROM STATEMENT - I   ( INSUFFICIENT )

2N = 14 ; N/2 = 7 ( Odd )
2N = 16 ; N/2 = 8 ( Even )

Thus no unique value of N/2 can be obtained....

FROM STATEMENT - I   ( INSUFFICIENT )

N = 4 ; N/2 = 2 ( Even )
N = 6 ; N/2 = 3 ( Odd )

Thus no unique value of N/2 can be obtained....

FROM STATEMENT I AND II   ( INSUFFICIENT )

Since we do not have a unique value of N, we can not find the value of N/2..
  
Hence, Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed, answer will be (E)

chetan2u · Answer

We do not know whether n is an integer, and if an integer, then is it 2*odd or 2*even.

(1) 2N is even.
N could be even or odd.
Is N 2*odd or 2*even? We cannot say.

(2) N is even.
Is N 2*odd or 2*even? We cannot say.

Combined
If N is 2*odd, say 2*3, then  \frac{N}{2}=\frac{2*3}{2}=3 .
If N is 2*even, say 2*4, then  \frac{N}{2}=\frac{2*4}{2}=4 .
Insufficient.

E

Nipungupta9081 · Answer

Answer E

(1) 2N is even-

N = 2 => 6
N = 5 => 10.

No Definite value of N ---  INSUFFICIENT

(2) N is even. -

N = 12/2 = 6
N = 10/2 = 5.

No Definite Value -----  INSUFFICIENT

Joining Both we still don't get a definite value = E

Is N/2 an odd integer? (1) 2N is even (2) N is even

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GMAT Data Sufficiency (DS) Questions

Is N/2 an odd integer? (1) 2N is even (2) N is even

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