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average temperature

by Ankitaverma » Sun Nov 24, 2013 7:12 pm
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
(A) 6x
(B) 4x
(C) 5x/3
(D) 3x/2
(E) 3x/5

Q/A-B
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by Uva@90 » Sun Nov 24, 2013 7:40 pm
Ankitaverma wrote:If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
(A) 6x
(B) 4x
(C) 5x/3
(D) 3x/2
(E) 3x/5

Q/A-B
Hi Ankitaverma,
From question we can derive that
a+b+c+d+e = 5x (Let a,b,c,d,e are temperatures in increasing order)

c,d,e are greatest Temperatures.
So, c+d+e must be greater than 3x and less than 5x

So only option matching is B

Answer is B

Regards,
Uva.
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by theCodeToGMAT » Sun Nov 24, 2013 9:55 pm
_ + _ + _ + _ + _ = 5x

To find: Sum of 3 greatest.

Just for assumption, lets assume two lowest temperatures as 0

=> _ + _ + _ = 5x

So the answer that is lesser & closest to 5x => 4x

Answer [spoiler]{B}[/spoiler]
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