CAT 2022 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 17

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 17 : In a class of 100 students, 73 like coffee, 80 like tea and 52 like lemonade. It may be possible that some students do not like any of these three drinks. Then the difference between the maximum and minimum possible number of students who like all the three drinks is

1. 48
2. 53
3. 47
4. 52

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Let’s try the stacking approach.
Finding the maximum number of students who drink all three drinks is easy and straightforward.

A maximum of 52 students can drink all three drinks.

The minimum number of students who drink all three drinks is 5.
The difference between the maximum and minimum possible number of students who like all three drinks = 52 - 5 = 47.

Choice C is the correct answer.

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