CAT 2021 Exam Question Papers Slot 1 | CAT Quants
CAT Quantitative Aptitude | CAT 2021 Question Papers
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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:
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
Explanation
Assume that hospital A admitted patients and hospital B did ( + 21) patients.
Then, average recovery days (hospital A) = 
, and
Average recovery days (hospital B) = 
According to the question,
- = 3
=> 200(a+21) – 152 a = 3 a(a+21)
=> 3 a2 + 15 a – 4200 = 0 or a2 + 5 a – 1400 = 0
=> (a + 40)( a – 35) = 0 => a = 35, ignoring negative value
Ans: (35)