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Attend this session to evaluate your current skill level, learn process skills, and solve through tough Arithmetic questions
The average (arithmetic mean) of 6 numbers is 8.5. When one
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07 Feb 2014, 05:48
07 Feb 2014, 05:48
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The average (arithmetic mean) of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number?
(A) 7.8
(B) 9.8
(C) 10.0
(D) 12.4
(E) 15.0
(A) 7.8
(B) 9.8
(C) 10.0
(D) 12.4
(E) 15.0
Re: The average (arithmetic mean) of 6 numbers is 8.5. When one
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07 Feb 2014, 05:48
07 Feb 2014, 05:48
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SOLUTION
The average (arithmetic mean) of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number?
(A) 7.8
(B) 9.8
(C) 10.0
(D) 12.4
(E) 15.0
The average of 6 numbers is 8.5 --> the sum of 6 numbers = (mean)*(number of terms) = 8.5*6 = 51.
The average of 5 numbers is 7.2 --> the sum of 5 numbers = (mean)*(number of terms) = 7.2*5 = 36.
The discarded number = 51 - 36 = 15.
Answer: E.
The average (arithmetic mean) of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number?
(A) 7.8
(B) 9.8
(C) 10.0
(D) 12.4
(E) 15.0
The average of 6 numbers is 8.5 --> the sum of 6 numbers = (mean)*(number of terms) = 8.5*6 = 51.
The average of 5 numbers is 7.2 --> the sum of 5 numbers = (mean)*(number of terms) = 7.2*5 = 36.
The discarded number = 51 - 36 = 15.
Answer: E.
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Re: The average (arithmetic mean) of 6 numbers is 8.5. When one
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17 Dec 2017, 10:02
17 Dec 2017, 10:02
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Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND Edition
The average (arithmetic mean) of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number?
(A) 7.8
(B) 9.8
(C) 10.0
(D) 12.4
(E) 15.0
The average (arithmetic mean) of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number?
(A) 7.8
(B) 9.8
(C) 10.0
(D) 12.4
(E) 15.0
Average of 6 numbers = (sum of all 6 numbers)/6
We get: 8.5 = (sum of all 6 numbers)/6
So, sum of the 6 numbers = (6)(8.5)
= 51
When one number is discarded, the average of the remaining numbers becomes 7.2
Sum of remaining 5 numbers = (5)(7.2)
= 36
Discarded number = (sum of original 6 numbers) - (sum of remaining 5 numbers)
= 51 - 36
= 15
= E
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