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# J and K are positive numbers. Is J/K > 1?

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Senior Manager
Joined: 02 Jan 2017
Posts: 307
J and K are positive numbers. Is J/K > 1?  [#permalink]

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01 Mar 2017, 02:27
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:18) correct 17% (01:03) wrong based on 31 sessions

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J and K are positive numbers. Is J/K > 1?

(1) JK < 1

(2) J-K > 0
Math Expert
Joined: 02 Sep 2009
Posts: 52285
Re: J and K are positive numbers. Is J/K > 1?  [#permalink]

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01 Mar 2017, 02:34
J and K are positive numbers. Is J/K > 1?

Since we know that k is a positive number then we can safely multiply both sides of the inequality by k and we'll get: is j > k?

(1) JK < 1. The product of two numbers is less than 1. There is no way to say which one of them is greater. Not sufficient.

(2) J-K > 0 --> j > k. Sufficient.

Hope it's clear.
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Joined: 05 Mar 2015
Posts: 1003
Re: J and K are positive numbers. Is J/K > 1?  [#permalink]

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01 Mar 2017, 10:47
vikasp99 wrote:
J and K are positive numbers. Is J/K > 1?

(1) JK < 1

(2) J-K > 0

Re word the question J/K-1>0----(J-K)/K>0 ??

(1) JK<1
we dont know ,if J>K
if J =0.2 , K= 0.1 ........Yes
if J = 0.1 , K=0.2......No
insuff

(2) since K>0
&& J-K>0
thus (J-K)/K>0
sufff

Ans B
Re: J and K are positive numbers. Is J/K > 1? &nbs [#permalink] 01 Mar 2017, 10:47
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