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Sets – MBA CET questions with solutions

2 questions · CET 2025 · Easy 2 · Medium 0 · Hard 0. Newest paper first. Full papers

Q145EasyCET 2025 · Slot 3 · Q145
In a hotel 60% has a vegetarian lunch while 30% had non-vegetarian lunch and 15% has both types of lunch. If 96 people were present, how many did not eat either type of lunch?
  1. 20
  2. 24
  3. 26
  4. 28
  5. 30
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Answer: B

Approach: Use percentages for the union, then convert once.

Solution: Union = 60% + 30% − 15% = 75%.
Neither = 100% − 75% = 25%.
25% of 96 = 24.

Answer: B

Q72EasyCET 2025 · Slot 2 · Q72
A group of 200 people are chosen randomly at a conference. Later, it was found that 120 of them like blue pens and 140 like green pens while 70 like both green and blue pens. Determine the number of people who like neither green nor blue pens.
  1. 25
  2. 64
  3. 10
  4. 40
  5. 50
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Answer: C

Approach: Two-set Venn formula: n(A ∪ B) = n(A) + n(B) − n(A ∩ B).

Solution:
At least one = 120 + 140 − 70 = 190.
Neither = 200 − 190 = 10.

Answer: C

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