Bodhee Prep-CAT Online Preparation

CAT 2021 Quant Question [Slot 1] with Solution 13

Question
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
Option: 35
Solution:
Let the number of Covid patients in Hospitals A and B be x and x+21 respectively. Then, it has been given that:
\(\frac{{200}}{x} - \frac{{152}}{{x + 21}} = 3\)
\(\frac{{\left( {200x + 4200 - 152x} \right)}}{{x\left( {x + 21} \right)}} = 3\)
\(\frac{{\left( {48x + 4200} \right)}}{{x\left( {x + 21} \right)}} = 3\)
\(16x + 1400 = x\left( {x + 21} \right)\)
\({x^2} + 5x - 1400 = 0\)
(x+40)(x-35)=0
Hence, x=35.
CAT Online Course @ INR 9999 only

CAT 2021 Quant questions with Solutions

CAT 2023
Classroom Course

We are starting classroom course for CAT 2023 in Gurugram from the month of December.
Please fill the form to book your seat for FREE Demo Classes

CAT 2023 Classroom Course starts in Gurgaon