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# Is number x between 0.2 and 0.5 ? (1) 300x > 54 (2) 900x < 360

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Math Expert
Joined: 02 Sep 2009
Posts: 49858
Is number x between 0.2 and 0.5 ? (1) 300x > 54 (2) 900x < 360  [#permalink]

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10 Mar 2017, 07:04
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Question Stats:

60% (01:43) correct 40% (01:02) wrong based on 19 sessions

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Is number x between 0.2 and 0.5 ?

(1) 300x > 54
(2) 900x < 360

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Senior Manager
Joined: 14 Oct 2015
Posts: 250
GPA: 3.57
Re: Is number x between 0.2 and 0.5 ? (1) 300x > 54 (2) 900x < 360  [#permalink]

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10 Mar 2017, 07:58
Bunuel wrote:
Is number x between 0.2 and 0.5 ?

(1) 300x > 54
(2) 900x < 360

I figured E.

1- 300x > 54 --> x > 54/300 --> x > 0.18 -- Not sufficient.

2- 900x < 360 --> x < 360/900 --> x < 0.4 -- Not sufficient alone.

Even if we combine them 0.18 < x < 0.4 which leaves possibility for x to be outside this range as in 0.19. I guess both combined are not sufficient either.
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Re: Is number x between 0.2 and 0.5 ? (1) 300x > 54 (2) 900x < 360  [#permalink]

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10 Mar 2017, 08:05
Bunuel wrote:
Is number x between 0.2 and 0.5 ?

(1) 300x > 54
(2) 900x < 360

(1) x > 54/300= 0.18.....insuff
(2) x< 360/900 = 0.4 ......insuff

combining 0.18<x<0.4
then if x =0.19 ...NO
but if x =0.3...YES
insuff

Ans E
Re: Is number x between 0.2 and 0.5 ? (1) 300x > 54 (2) 900x < 360 &nbs [#permalink] 10 Mar 2017, 08:05
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