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Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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02 Sep 2010, 13:04

If n and k are positive integers, is n/k an even integer? (1) n is divisible by 8. (2) k is divisible by 4.

Explanation 1) n is divisible by 8 --> 8/8 = 1 (odd) 8/3 ,8/5 gives nothing not even an integer 2) k is divisible by 4 --> 25/4 = gives nothing not even an integer

combining both

16/12 --> gives nothing not even an integer

answer E......
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n/k= 8a/4b= 2a/b so n/k= 2a/b if a and b are 2 and 2 the answer is yes=2*2/2=2 (n/k is even) but if a and b are 3 and 2 then 2*3/2=3 (the answer is no. 3 is odd)

Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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03 Mar 2015, 09:23

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We're told that N and K are positive integers. We're asked if N/K is an EVEN INTEGER. This is a YES/NO question.

Fact 1: N is divisible by 8

IF.... N = 8 K = 1 Then 8/1 = 8 and the answer to the question is YES

IF.... N = 8 K = 8 Then 8/8 = 1 and the answer to the question is NO Fact 1 is INSUFFICIENT

Fact 2: K is divisible by 4

IF.... N = 8 K = 4 Then 8/4 = 2 and the answer to the question is YES

IF... N = 7 K = 4 Then 7/4 = 1.75 and the answer to the question is NO Fact 2 is INSUFFICIENT

Combined, we know... N is divisible by 8 K is divisible by 4

IF.... N = 8 K = 4 Then 8/4 = 2 and the answer to the question is YES

IF.... N = 8 K = 8 8/8 = 1 and the answer to the question is NO Combined, INSUFFICIENT

Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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20 Dec 2015, 09:54

The question asks whether n/k = 2n

Each statement alone is insufficientt

Combining the two statements n/k can be written as (8 * something)/(4 * something)

While at first chance it may seem that 8 gets cancelled by 4, leaves a 2 and rest multiplied by 2 is even. But we don't know the something/something else. it may be 2 * 7/9 which is not an integer at all (n and k are positive integers, this does not imply their division is one too)

Hence, E
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Re: If n and k are positive integers, is n/k an even integer?
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20 Dec 2015, 09:54

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