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If the average (arithmetic mean) of x and y is positive, is x positive

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V
Joined: 02 Sep 2009
Posts: 46264
If the average (arithmetic mean) of x and y is positive, is x positive [#permalink]

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New post 22 Jan 2018, 01:34
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

63% (01:21) correct 37% (01:20) wrong based on 30 sessions

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D
Joined: 13 Apr 2015
Posts: 1689
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
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Re: If the average (arithmetic mean) of x and y is positive, is x positive [#permalink]

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New post 22 Jan 2018, 07:38
(x + y)/2 = +ve
x + y = +ve

Question: x = +ve?

St1: xy < 0 --> x can be +ve or -ve
Not Sufficient

St2: x = y + 4 --> x > y
If y is -ve, x has to be +ve for the mean to be +ve
If y is +ve, x will be +ve.
In both the cases, x = +ve.
Sufficient.

Answer: B
Re: If the average (arithmetic mean) of x and y is positive, is x positive   [#permalink] 22 Jan 2018, 07:38
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If the average (arithmetic mean) of x and y is positive, is x positive

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