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# Is the average (arithmetic mean) of a and b greater than 30?

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Math Expert
Joined: 02 Sep 2009
Posts: 52157
Is the average (arithmetic mean) of a and b greater than 30?  [#permalink]

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27 Dec 2017, 02:28
00:00

Difficulty:

25% (medium)

Question Stats:

100% (00:58) correct 0% (00:00) wrong based on 21 sessions

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Is the average (arithmetic mean) of a and b greater than 30?

(1) b = 3a
(2) b is greater than 1.

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Senior Manager
Joined: 07 Oct 2017
Posts: 260
Re: Is the average (arithmetic mean) of a and b greater than 30?  [#permalink]

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27 Dec 2017, 03:20
Simplified : a+b>60

St1: 4a>60
Not sufficient

St2: b>1
If b=60, a=10 YES
b=2, a=1 NO

Combining
b=3, a=1
NO
b=90 a=30
YES

Imo E

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Manager
Joined: 24 Nov 2016
Posts: 152
Re: Is the average (arithmetic mean) of a and b greater than 30?  [#permalink]

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27 Dec 2017, 06:26
Bunuel wrote:
Is the average (arithmetic mean) of a and b greater than 30?

(1) b = 3a
(2) b is greater than 1.

Rephrase: is $$\frac{a+b}{2}>30$$, $$a+b>60?$$

(1) b = 3a. then $$a+b>60$$ becomes $$a+(3a)>60?$$, is $$a>15?$$..; no info on their values, insufficient.
(2) b is greater than 1. then $$b$$ could be anything from 2 to infinity..; also there is nothing about $$a$$; insufficient.
(1)+(2). We cannot determine the value of $$a$$ or $$b$$ so insufficient.

Re: Is the average (arithmetic mean) of a and b greater than 30? &nbs [#permalink] 27 Dec 2017, 06:26
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