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# Is xy < -10? (1) 2 < x < 4 (2) -5 < y < -3

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Math Expert
Joined: 02 Sep 2009
Posts: 51100
Is xy < -10? (1) 2 < x < 4 (2) -5 < y < -3  [#permalink]

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18 Jul 2018, 22:45
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:04) correct 31% (00:44) wrong based on 29 sessions

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Is xy < -10?

(1) 2 < x < 4
(2) -5 < y < -3

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Joined: 26 Apr 2017
Posts: 36
Re: Is xy < -10? (1) 2 < x < 4 (2) -5 < y < -3  [#permalink]

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18 Jul 2018, 22:50
E because xy=-9.1 ; xy=-12

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Re: Is xy < -10? (1) 2 < x < 4 (2) -5 < y < -3  [#permalink]

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19 Jul 2018, 00:00
Bunuel wrote:
Is xy < -10?

(1) 2 < x < 4
(2) -5 < y < -3

Given:
Find : xy < -10
This means both x and y should have opposite signs

Statement 1:
Insufficient. No value of y

Statement 2:
Insufficient. No value of x

1 &2:
If x = 2.5 and y = -3.5 then xy = -8.75. False
If x = 3 and y = -4 then xy = -12. True

Insufficient
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Re: Is xy < -10? (1) 2 < x < 4 (2) -5 < y < -3  [#permalink]

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19 Jul 2018, 01:11
+1 for E.

xy < -10 ?

Stmt 1:
No y
Insufficient

Stmt 2:
No x
Insufficient

Combining both stmts :
Different values of xy both above and below -12
Insufficient

Hence, E.
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Re: Is xy < -10? (1) 2 < x < 4 (2) -5 < y < -3 &nbs [#permalink] 19 Jul 2018, 01:11
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