CAT 2021 Slot 1 · Quant · Question 15

CAT 2021 Slot 1 previous year question on Averages, Mixture and Alligation, with the answer and a step-by-step solution.

Averages, Mixture and AlligationArithmeticType in the answer (TITA)Medium

Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recovery days for patients admitted in hospital A was 3 more than the average in hospital B then the number admitted in hospital A was

Answer & solution

Answer: 35

Let hospital B admit n patients, so hospital A admits n-21.

Then \frac{200}{n-21}-\frac{152}{n}=3, which gives n=56.

Hence hospital A admitted 56-21=35 patients.

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