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# Is the number x between 0.5 and 0.8 ? (1) 300x > 180 (2) 700x < 490

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Math Expert
Joined: 02 Sep 2009
Posts: 52385
Is the number x between 0.5 and 0.8 ? (1) 300x > 180 (2) 700x < 490  [#permalink]

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06 Feb 2017, 06:51
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:03) correct 17% (01:08) wrong based on 49 sessions

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Is the number x between 0.5 and 0.8 ?

(1) 300x > 180
(2) 700x < 490

_________________
Manager
Joined: 05 Apr 2014
Posts: 140
Location: India
Schools: ISB '19, Fox"19
GMAT 1: 660 Q48 V33
GPA: 3
Re: Is the number x between 0.5 and 0.8 ? (1) 300x > 180 (2) 700x < 490  [#permalink]

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06 Feb 2017, 08:26
E
Statement 1 - not sufficient
as x> 0.6
X can be anything 1.1 or 0.7
Statement 2 - not sufficient
As x < 0.7
X can b anything 0.6 or 0.3
Combining both
0.7 > x >0.6
Still not sufficient

Sent from my HM 1S using GMAT Club Forum mobile app
VP
Joined: 05 Mar 2015
Posts: 1003
Re: Is the number x between 0.5 and 0.8 ? (1) 300x > 180 (2) 700x < 490  [#permalink]

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06 Feb 2017, 09:37
nailin16 wrote:
E
Statement 1 - not sufficient
as x> 0.6
X can be anything 1.1 or 0.7
Statement 2 - not sufficient
As x < 0.7
X can b anything 0.6 or 0.3
Combining both
0.7 > x >0.6
Still not sufficient

Sent from my HM 1S using GMAT Club Forum mobile app

Hi nailin16

could u please elaborate how combining both statements(above highlighted) are not suff..??

thanks
Manager
Joined: 05 Apr 2014
Posts: 140
Location: India
Schools: ISB '19, Fox"19
GMAT 1: 660 Q48 V33
GPA: 3
Re: Is the number x between 0.5 and 0.8 ? (1) 300x > 180 (2) 700x < 490  [#permalink]

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06 Feb 2017, 10:08

Sent from my HM 1S using GMAT Club Forum mobile app
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: Is the number x between 0.5 and 0.8 ? (1) 300x > 180 (2) 700x < 490  [#permalink]

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08 Feb 2017, 18:55
Bunuel wrote:
Is the number x between 0.5 and 0.8 ?

(1) 300x > 180
(2) 700x < 490

We need to determine whether x is between 0.5 and 0.8.

Statement One Alone:

300x > 180

x > 180/300

x > 18/30

x > 3/5

x > 0.6

Although x is greater than 0.6, we cannot determine whether x is between 0.5 and 0.8. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

700x < 490

x < 490/700

x < 49/70

x < 7/10

x < 0.7

Although x is less than 0.7, we cannot determine whether x is between 0.5 and 0.8. Statement two alone is not sufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

Using the information from statements one and two, we know that 0.6 < x < 0.7. Thus, we know that x is between 0.5 and 0.8.

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Joined: 09 Jan 2017
Posts: 13
Re: Is the number x between 0.5 and 0.8 ? (1) 300x > 180 (2) 700x < 490  [#permalink]

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09 Feb 2017, 04:10
nailin16 wrote:
E
Statement 1 - not sufficient
as x> 0.6
X can be anything 1.1 or 0.7
Statement 2 - not sufficient
As x < 0.7
X can b anything 0.6 or 0.3
Combining both
0.7 > x >0.6
Still not sufficient

pay attention ,combining both x>0.6 x<0.7, it means that 0.6<x<0.7 and so x MUST be between 0.5 and 0.8 as the question asks
therefore the correct answer is C.
Re: Is the number x between 0.5 and 0.8 ? (1) 300x > 180 (2) 700x < 490 &nbs [#permalink] 09 Feb 2017, 04:10
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