CAT 2018 Averages Question (Medium)

Question

A CAT aspirant appears for a certain number of tests. His average score increases by 1 if the first 10 tests are not considered, and decreases by 1 if the last 10 tests are not considered. If his average scores for the first 10 and the last 10 tests are 20 and 30, respectively, then the total number

Accepted Answer

Step 1 Let the total number of tests be , and let the overall average be . We re told - Average increases by 1 when first 10 tests avg 20 are removed new average - Average decreases by 1 when last 10 tests avg 30 are removed new average Step 2 Total score of all tests Score of first 10 tests Score o

CAT 2018

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Averages

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