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# Is Y greater than 7/11?

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Math Expert
Joined: 02 Sep 2009
Posts: 60496
Is Y greater than 7/11?  [#permalink]

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05 Nov 2014, 08:28
00:00

Difficulty:

35% (medium)

Question Stats:

74% (01:53) correct 26% (02:02) wrong based on 99 sessions

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Tough and Tricky questions: Inequalities.

Is Y greater than 7/11?

(1) 1/5 < Y < 11/12

(2) 2/9 < Y < 8/13

Kudos for a correct solution.

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Manager
Joined: 07 Oct 2014
Posts: 160
GMAT 1: 710 Q48 V39
WE: Sales (Other)
Re: Is Y greater than 7/11?  [#permalink]

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05 Nov 2014, 12:12
3
(1) 1/5 < Y < 11/12

So Y is bigger than 1/5 and less than 11/12. so y could be 6/11 or 8/11 (eyeball given the numbers are easy). Therefore insufficient

(2) 2/9 < Y < 8/13

Actually have to do some math here. 2/9 is small enough not to worry about it, 8/13 vs. 7/11 isn't an easy eyeball:

7/11 and 8/13, workable numbers for common denom via multiplication: (7*13)/(13*11) vs. (8*11)/(13*11). Same denom therefore denom is irrelevant. Is 7*13 (70+21 = 91) bigger than 88? yes. So because 7/11 is bigger than Y's maximum range, Y is not greater than 7/11, SUFFICIENT

therefore B.
Manager
Joined: 21 Jan 2014
Posts: 61
WE: General Management (Non-Profit and Government)
Re: Is Y greater than 7/11?  [#permalink]

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10 Nov 2014, 07:43
1
Is Y greater than 7/11?
Y>0.7 approx

(1) 1/5 < Y < 11/12
max value for Y can be 11/12=0.9 approx
so here values for Y can be 0.2 -0.9
since values for Y can be both smaller and greater than 0.7
INSUFFICIENT.

(2) 2/9 < Y < 8/13
max value for Y can be 8/13=0.6
so here max value for Y is itself less than 0.7
it implies that Y is smaller than 7/11
SUFFICIENT.

Manager
Joined: 05 Oct 2014
Posts: 128
Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
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Re: Is Y greater than 7/11?  [#permalink]

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25 Nov 2019, 10:51
Is Y > 7/11 => y > 0.636

(1) 1/5 < Y < 11/12 => 0.2 < y < 0.9, we can say y is less than 0.9 but don't know if it is greater than 0.636. NOT SUFFICIENT

(2) 2/9 < Y < 8/13 => 0.2 < y < 0.61, we can say y is less than 0.61, that means y < 0.636. SUFFICIENT

Re: Is Y greater than 7/11?   [#permalink] 25 Nov 2019, 10:51
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