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Is –3 < x – y < 2 ? (1) 2 < x < 5 (2) 3 < y < 5

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Math Expert
Joined: 02 Sep 2009
Posts: 57155
Is –3 < x – y < 2 ? (1) 2 < x < 5 (2) 3 < y < 5  [#permalink]

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19 Jul 2019, 01:24
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Difficulty:

25% (medium)

Question Stats:

79% (01:19) correct 21% (01:07) wrong based on 33 sessions

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Is –3 < x – y < 2 ?

(1) 2 < x < 5
(2) 3 < y < 5

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Joined: 01 Mar 2019
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Concentration: Strategy, Social Entrepreneurship
Schools: Ross '22, ISB '20, NUS '20
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Re: Is –3 < x – y < 2 ? (1) 2 < x < 5 (2) 3 < y < 5  [#permalink]

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19 Jul 2019, 06:11
Statement1: value of x lies b/w 2.1 to 4.9
Statement2: value of y lies b/w 3.1 to 4.9
Clearly, 1,2 individually not sufficient
so from both we get,
min value of x-y is -2.8 ..... so x-y > -3
max value of x-y is 1.8 ..... so x-y < 2
so Ans : (C)
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Re: Is –3 < x – y < 2 ? (1) 2 < x < 5 (2) 3 < y < 5   [#permalink] 19 Jul 2019, 06:11
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