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# Does Jack has 2/3 more pens than David has? (1) The number of pens Da

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
Does Jack has 2/3 more pens than David has? (1) The number of pens Da  [#permalink]

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10 Oct 2018, 04:52
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:06) correct 14% (01:23) wrong based on 39 sessions

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Does Jack has 2/3 more pens than David has?

(1) The number of pens David has is 60 percent of the number of pens Jack has.
(2) The number of pens Jack has is 166.67% percent of the number of pens David has

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Re: Does Jack has 2/3 more pens than David has? (1) The number of pens Da  [#permalink]

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10 Oct 2018, 04:56
Bunuel wrote:
Does Jack has 2/3 more pens than David has?

(1) The number of pens David has is 60 percent of the number of pens Jack has.
(2) The number of pens Jack has is 166.67% percent of the number of pens David has

Question: Does Jack has 2/3 more pens than David has?

Question REPHRASED: Does Jack > 1.67* David?

Statement 1: The number of pens David has is 60 percent of the number of pens Jack has.

David = 0.6 * Jack
i.e. Jack = (1/0.6) David

i.e. Jack = 1.67 David
i.e. Answer to the question is NO as Jack is not greater than 1.67*David, It is Equal to 1.67*David hence

SUFFICIENT

Statement 2: The number of pens Jack has is 166.67% percent of the number of pens David has

i.e. Jack = 1.67 David
i.e. Answer to the question is NO as Jack is not greater than 1.67*David, It is Equal to 1.67*David hence

SUFFICIENT

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Re: Does Jack has 2/3 more pens than David has? (1) The number of pens Da   [#permalink] 10 Oct 2018, 04:56
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# Does Jack has 2/3 more pens than David has? (1) The number of pens Da

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