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1 . Rashed's average on 4 tests is 80. Assuming he can earn no more than 100 on any test, what is the least he can earn on his 5th test and still have a chance for an average of 85 after seven tests ?

A. 60
B. 70
C. 75
D. 85
D. None of these

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Answer: Option C

Explanation:

Total score for first 4 tests:
Average score (80) * Number of tests (4) = Total score
Total score = 80 * 4 = 320

Desired average after 7 tests:
Average score (85) * Number of tests (7) = Total desired score after 7 tests
Total desired score = 85 * 7 = 595

Minimum score needed on remaining tests:
Total desired score - Total score from first 4 tests = Score needed on remaining 3 tests
Score needed = 595 - 320 = 275

Minimum score for the 5th test:
Since Rashed can score a maximum of 100 on any test, we need to find the minimum score for the 5th test considering the remaining 2 tests can score a maximum of 100 each.
Score needed on remaining 3 tests - Maximum score possible on remaining 2 tests = Minimum score for 5th test
Minimum score = 275 - (100 + 100) = 275 - 200 = 75

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