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# If j is positive number, is k a positive number?

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
If j is positive number, is k a positive number?  [#permalink]

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02 Jan 2018, 01:37
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Difficulty:

35% (medium)

Question Stats:

82% (01:15) correct 18% (00:34) wrong based on 32 sessions

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If j is positive number, is k a positive number?

(1) The average (arithmetic mean) of j and k is positive.
(2) j – k is a positive number.

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Joined: 06 May 2017
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Re: If j is positive number, is k a positive number?  [#permalink]

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02 Jan 2018, 02:33
I guess the answer is E. The question says j is a positive number. Let's say j is 2. Statement 1 says arithmetic mean of j and k is positive. Say j is 2 and k is -1. Average of these two values is positive. In other case let's k is 1.In that case average is positive too. Therefore insufficient.
Statement 2 says j-k is positive. If j is 2 and k is -1 then j-k is positive. Again if k is 1 then the result is positive. Insufficient.
Taking both of the statement together the statements are still insufficient.

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Re: If j is positive number, is k a positive number?  [#permalink]

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03 Jan 2018, 00:45
Bunuel wrote:
If j is positive number, is k a positive number?

(1) The average (arithmetic mean) of j and k is positive.
(2) j – k is a positive number.

(1) (j+k)/2 > 0 OR j+k > 0
This means sum of j and k is positive and while j is positive, k could still be negative or positive. Eg, we can have j=2, k=-1 Or j=2, k=1. So Insufficient.

(2) j-k > 0 Or j > k
k could still be positive or negative, so cant say. Insufficient.

Even after combining the two statements, its still insufficient. As explained through examples in first statement. Insufficient.

Re: If j is positive number, is k a positive number?   [#permalink] 03 Jan 2018, 00:45
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