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CAT 2021 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 4

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 4 : From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is


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Explanatory Answer

Let’s assume the capacity of the container is ‘c’
Let’s track down the milk which is retained.
The milk retained after taking first 9 litres from the container is (c × \\frac{c - 9}{c}) ) 
The milk retained after taking next 9 litres from the container is ( c × \\frac{c - 9}{c}) × \\frac{c - 9}{c}) )
The volumes of milk and water in the container are now in the ratio of 16 : 9.
The milk in the container is \\frac{16}{25})
\\frac{c \times \frac{c - 9}{c} \times \frac{c - 9}{c}}{c}) = \\frac{16}{25})
(\\frac{c - 9}{c}) )2 = \\frac{16}{25})
\\frac{c - 9}{c}) = \\frac{4}{5})
c = 45


The answer is '45'

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