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C
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Difficulty:
35%
(medium)
Question Stats:
80% (01:53) correct
20%
(02:21)
wrong
based on 49
sessions
History
Date
Time
Result
Not Attempted Yet
An investment firm considers four analysts for annual performance bonuses. Each analyst is evaluated across several metrics and receives a final score out of the same maximum number of points. To qualify for a performance bonus, an analyst must score at least 70% of that maximum. After the evaluations, the four analysts have scores in the ratio 8 : 7 : 6 : 5, and their average score is 65% of the maximum. How many analysts qualify for a performance bonus?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
M47-43
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27 Feb 2026, 02:45
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Bunuel
GMAT Club Official Solution:
Let the four scores be 8k, 7k, 6k, and 5k.
Their average is:
(8k + 7k + 6k + 5k)/4 = 26k/4 = 6.5k.
We are told the average equals 65% of the maximum score. So 6.5k = 65% of the maximum. That means 1k = 10% of the maximum.
So the four scores are:
8k = 80%
7k = 70%
6k = 60%
5k = 50%
An analyst qualifies with at least 70%.
Thus, the analysts scoring 80% and 70% qualify for the bonus.
Answer: C.
General Discussion
18 Feb 2026, 08:55
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(8k+7k+6k+5k)/4 = 26k/4 = 6,5k .
Thus we know that 6,5k is the 65% of the Maximum: 0,65M = 6,5k => M = 10k .
If the maximum achievable is 10k just 2 analysts have a score of at least 0,7M = 7k .
The correct answer is C.
Thus we know that 6,5k is the 65% of the Maximum: 0,65M = 6,5k => M = 10k .
If the maximum achievable is 10k just 2 analysts have a score of at least 0,7M = 7k .
The correct answer is C.
