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24 Aug 2018, 00:54
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C
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Difficulty:
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[Math Revolution GMAT math practice question]
The average (arithmetic mean) of the five numbers in a data set is 72. The average (arithmetic mean) of the first three numbers is 98. What is the average (arithmetic mean) of the last two numbers?
A. 31
B. 32
C. 33
D. 34
E. 35
The average (arithmetic mean) of the five numbers in a data set is 72. The average (arithmetic mean) of the first three numbers is 98. What is the average (arithmetic mean) of the last two numbers?
A. 31
B. 32
C. 33
D. 34
E. 35
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24 Aug 2018, 00:59
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Average of 5 number = 72.
Sum of 5 = 72*5 = 360.
Average of first 3 = 98.
Sum of first 3 = 98*3 = 294.
Difference of 360 and 294 = 66.
The sum of the last two = 66. Average becomes 66/2 = 33.
C is the answer.
Sum of 5 = 72*5 = 360.
Average of first 3 = 98.
Sum of first 3 = 98*3 = 294.
Difference of 360 and 294 = 66.
The sum of the last two = 66. Average becomes 66/2 = 33.
C is the answer.
Updated on: 07 Aug 2020, 07:40
Originally posted by BrentGMATPrepNow on 24 Aug 2018, 06:28.
Last edited by BrentGMATPrepNow on 07 Aug 2020, 07:40, edited 1 time in total.
Last edited by BrentGMATPrepNow on 07 Aug 2020, 07:40, edited 1 time in total.
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MathRevolution
Let a, b, c, d and e be the five numbers in the set.
The average (arithmetic mean) of the five numbers in a data set is 72.
So, (a + b + c + d + e)/5 = 72
Multiply both sides of the equation by 5 to get: a + b + c + d + e = 360
The average (arithmetic mean) of the first three numbers is 98.
So, (a + b + c)/3 = 98
Multiply both sides of the equation by 3 to get: a + b + c = 294
What is the average (arithmetic mean) of the last two numbers?
In other words, what is the average of d and e?
Take a + b + c + d + e = 360 and replace a + b + c with 294
We get: 294 + d + e = 360
Subtract 294 from both sides to get: d + e = 66
So, the average of d and e = (d + e)/2
= 66/2
= 33
Answer: C
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