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Re: If n and k are positive integers, is n/k an even integer? [#permalink]
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...... _________________
I will give a Fight till the End
"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed." - Bernard Edmonds
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Re: A diffcult Math problem [#permalink]
24 Aug 2011, 03:13
we have to find n/q:
S1-nothing about k S2- nothing about n.
combined: n=8a and k=4b so
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]
03 Mar 2015, 09:23
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Re: If n and k are positive integers, is n/k an even integer? [#permalink]
03 Mar 2015, 22:19
Expert's post
Hi All,
While it might be easy to run through this question without taking any notes (and still get it correct), there's something to be said for practicing to PROVE that your answer is correct. This level of attention to detail will help you to hone your skills on ALL DS questions.
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]
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?
[#permalink]
20 Dec 2015, 09:54
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