CAT 2020 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Quants Questions | Question 13

Set Theory is a comparatively easier topic. However it is usual for students to get caught in these questions essentially twisted in a way to disrupt your progress and test your fundamentals! Do not fall victim to this! Practice well, especially from CAT previous year paper to keep your pace steady and fundamentals crystal clear! Start right away! Solve this question from CAT 2020 Question Paper so that you are prepared to handle such questions in the CAT exam.

Question 13 : Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number of students choosing all three subjects is 18, choosing mathematics as one of their subjects is 23 and choosing physics as one of their subjects is 25. The smallest possible number of students who could choose chemistry as one of their subjects is

  1. 22
  2. 19
  3. 20
  4. 21

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Explanatory Answer

Venn Diagram of Marks Scored
We need to have M∩C and P∩C
as small as possible.
Then Need to keep only M∩P as high as possible = 5
Smallest possible number of students choosing chemistry = 18 + 2 = 20

The answer is, "20"

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