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# If a clerk enters a total of 24 amounts on an MS-Office Excel sheet th

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
If a clerk enters a total of 24 amounts on an MS-Office Excel sheet th  [#permalink]

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17 Oct 2018, 00:12
00:00

Difficulty:

35% (medium)

Question Stats:

76% (01:50) correct 24% (01:44) wrong based on 40 sessions

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If a clerk enters a total of 24 amounts on an MS-Office Excel sheet that has six rows and four columns, what is the average of all the 24 amounts entered on the Excel sheet?

(1) The sum of averages of the amounts in six rows is 720.
(2) The sum of averages of the amounts in four columns is 480.

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Re: If a clerk enters a total of 24 amounts on an MS-Office Excel sheet th  [#permalink]

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19 Oct 2018, 07:00
Bunuel wrote:
If a clerk enters a total of 24 amounts on an MS-Office Excel sheet that has six rows and four columns, what is the average of all the 24 amounts entered on the Excel sheet?

(1) The sum of averages of the amounts in six rows is 720.
(2) The sum of averages of the amounts in four columns is 480.

Question: SUm of all 24 entries = ?

Statement 1: The sum of averages of the amounts in six rows is 720.

i.e. If averages of rows were a, b, c, d, e, f respectively then a+b+c+d+e+f = 720

Also, Sum of first row = 4*a (as the row is divided in four columns)
Also, Sum of Second row = 4*b
and so on..

i.e. Sum of all 24 entries = 4*(a+b+c+d+e+f) = 4*720 = 2880
SUFFICIENT

Statement 2: The sum of averages of the amounts in four columns is 480.
Let, Averages of columns are p, q, r and s
now, given as p+q+r+s = 480
i.e. Sum of 6 entries of first column = 6*p
i.e. Sum of 6 entries of Second column = 6*q
and so on...

i.e. Sum of all 24 entries = 6*(p+q+r+s) = 6*480 = 2880
SUFFICIENT

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Re: If a clerk enters a total of 24 amounts on an MS-Office Excel sheet th   [#permalink] 19 Oct 2018, 07:00
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