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08 Jun 2021, 04:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (01:25) correct
11%
(01:53)
wrong
based on 80
sessions
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The average of a set of five values is 12. If one number is deleted, the average of the set is increased by 0.6. What is the value of the deleted number?
(A) 8.2
(B) 8.8
(C) 9.2
(D) 9.6
(E) 10.2
(A) 8.2
(B) 8.8
(C) 9.2
(D) 9.6
(E) 10.2
08 Jun 2021, 04:38
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Solution:
The number removed has two components -
(1) Contribution to the average with its presence which here is 12 and
(2) Contribution to the group with its presence = 4 X (-)0.6 = -2.4
(Negative sign implies there is a decrease in the average with its presence)
Hence the value deleted = 12 - 2.4 = 9.6
Alternately it is also equal to
5 * 12 - 4*12.6
=60 - 50.4 = 9.6 (option d)
Devmitra Sen
GMAT SME
The number removed has two components -
(1) Contribution to the average with its presence which here is 12 and
(2) Contribution to the group with its presence = 4 X (-)0.6 = -2.4
(Negative sign implies there is a decrease in the average with its presence)
Hence the value deleted = 12 - 2.4 = 9.6
Alternately it is also equal to
5 * 12 - 4*12.6
=60 - 50.4 = 9.6 (option d)
Devmitra Sen
GMAT SME
08 Jun 2021, 04:59
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We are not given values of 5 integers, but we are given two averages, so we can find two different sums and the difference between them
Sum = Average * Number of terms
For 5 integers and average of 12, the sum is (12 * 5) i.e 60
For 4 integers and average of 12.6, the sun is (12.6 * 4) i.e 50.4
The difference between two sum will give us the value of removed integer. 60 - 50.4 = 9.6
D is the correct answer
Posted from my mobile device
Sum = Average * Number of terms
For 5 integers and average of 12, the sum is (12 * 5) i.e 60
For 4 integers and average of 12.6, the sun is (12.6 * 4) i.e 50.4
The difference between two sum will give us the value of removed integer. 60 - 50.4 = 9.6
D is the correct answer
Posted from my mobile device
