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

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

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New post 27 Dec 2017, 02:28
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

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

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Re: Is the average (arithmetic mean) of a and b greater than 30?  [#permalink]

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New post 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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Re: Is the average (arithmetic mean) of a and b greater than 30?  [#permalink]

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New post 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.

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

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