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# Is x > 6? (1) x/y > 1.4 (2) The average of x and y is 2

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
Is x > 6? (1) x/y > 1.4 (2) The average of x and y is 2  [#permalink]

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22 Jan 2018, 01:24
00:00

Difficulty:

65% (hard)

Question Stats:

45% (02:05) correct 55% (01:59) wrong based on 30 sessions

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Is x > 6?

(1) x/y > 1.4
(2) The average of x and y is 2

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examPAL Representative
Joined: 07 Dec 2017
Posts: 1140
Re: Is x > 6? (1) x/y > 1.4 (2) The average of x and y is 2  [#permalink]

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22 Jan 2018, 01:53
Bunuel wrote:
Is x > 6?

(1) x/y > 1.4
(2) The average of x and y is 2

Since we're asked about a specific range we'll test the extremes.
This is a Logical approach.

(1) x could be 6 or 7 or any other number.
Insufficient!

(2) x could be 6 (then y is -2) or any larger number.
Insufficient!

Combined: say x = 6 then by (2) y = -2 which doesn't fulfill (1).
Can x be larger than 6? in this case y would have to be smaller than -2 to fulfill (2) so (1) would always be false.
Then we can answer 'is x>6?' with a NO.

(C) is our answer.
_________________
Re: Is x > 6? (1) x/y > 1.4 (2) The average of x and y is 2   [#permalink] 22 Jan 2018, 01:53
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# Is x > 6? (1) x/y > 1.4 (2) The average of x and y is 2

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