CAT 2022 Question Paper | Quant Slot 3

CAT Previous Year Paper | CAT Quant Questions | Question 4

CAT 2022 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 : A glass contains 500 cc of milk and a cup contains 500 cc of water. From the glass, 150 cc of milk is transferred to the cup and mixed thoroughly. Next, 150 cc of this mixture is transferred from the cup to the glass. Now, the amount of water in the glass and the amount of milk in the cup are in the ratio

  1. 3 : 10
  2. 10 : 3
  3. 1 : 1
  4. 10 : 13

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Explanatory Answer

Imagine 2 beakers of milk and water each of volume 500 cc
2 beakers
After the transfer of liquids from one beaker to another, both the beakers end up having the same volume of 500 cc again.
2 beakers
If there is x cc of Milk in the first beaker, there will be 500 - x cc of water in the second beaker, the remaining x cc of water should be in the second beaker!
Therefore, the amount of water in the glass and the amount of milk in the cup are equal and hence in the ratio 1 : 1.
It does not matter how many times the liquids are transferred, if the final volumes are 500 cc, then, the amount of water in the glass and the amount of milk in the cup will be in the ratio 1 : 1.

The answer is '1 : 1'

Choice C is the correct answer.

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