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If 1/5 of the larger of two positive numbers is greater than 6 times

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Joined: 02 Sep 2009
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If 1/5 of the larger of two positive numbers is greater than 6 times  [#permalink]

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New post 01 Nov 2018, 00:13
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

70% (02:08) correct 30% (02:08) wrong based on 48 sessions

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Joined: 09 Jun 2018
Posts: 185
Location: United States
GPA: 3.95
WE: Manufacturing and Production (Energy and Utilities)
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Re: If 1/5 of the larger of two positive numbers is greater than 6 times  [#permalink]

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New post 01 Nov 2018, 12:46
Let a be the smaller number and b be the larger number. So, b>a>0.
Also, as per question, (1/5)*b > 6*a, which gives, b>30a ...... (A)

Stmt 1: b>120
Let b be 144, then 144>30a which gives a<4.8
Let b be 153, then 153>30a which gives a<5.1, which means a can be 5.05 too.
Hence Insufficient. Eliminate A,D

Stmt 2: b<150
b<150 and b>30a, hence, 30a<150 or a<5
Hence sufficient.

Option B
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Re: If 1/5 of the larger of two positive numbers is greater than 6 times   [#permalink] 01 Nov 2018, 12:46
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If 1/5 of the larger of two positive numbers is greater than 6 times

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