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Question
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 ?
60
70
75
85
None of these
ANSWER : 3
Descrption
<p style="margin-left:0px;"><strong>Total score for first 4 tests:</strong><br>Average score (80) * Number of tests (4) = Total score<br>Total score = 80 * 4 = 320</p><p style="margin-left:0px;"><strong>Desired average after 7 tests:</strong><br>Average score (85) * Number of tests (7) = Total desired score after 7 tests<br>Total desired score = 85 * 7 = 595</p><p style="margin-left:0px;"><strong>Minimum score needed on remaining tests:</strong><br>Total desired score - Total score from first 4 tests = Score needed on remaining 3 tests<br>Score needed = 595 - 320 = 275</p><p style="margin-left:0px;"><strong>Minimum score for the 5th test:</strong><br>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.<br>Score needed on remaining 3 tests - Maximum score possible on remaining 2 tests = Minimum score for 5th test<br>Minimum score = 275 - (100 + 100) = 275 - 200 = 75</p>
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