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Sets — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

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Sample questions from this chapter

Which of these collections is a set?
  1. The collection of all even integers ✓
  2. The collection of the most talented cricketers in India
  3. The collection of the difficult chapters in Maths
  4. The collection of the beautiful cities of the world
Answer: A. A set is a WELL-DEFINED collection: given any object, it must be possible to decide, without argument, whether it belongs. "Even integer" decides that; "talented", "difficult" and "beautiful" do not.
Why not B: "Most talented" is a matter of opinion, so two people would list different players. A set needs a rule that decides membership the same way for everyone.
Why not C: "Difficult" varies from student to student — the collection is not well defined.
Why not D: "Beautiful" is subjective, so there is no way to settle whether a given city belongs.
Two finite sets have m and n elements. The first has 56 more subsets than the second. What are m and n?
  1. m = 6, n = 3 ✓
  2. m = 3, n = 6
  3. m = 6, n = 2
  4. m = 7, n = 3
Answer: A. 2ᵐ − 2ⁿ = 56, so 2ⁿ(2^(m−n) − 1) = 56 = 8 × 7. Then 2ⁿ = 8 and 2^(m−n) − 1 = 7, giving n = 3 and m − n = 3, so m = 6. Check: 64 − 8 = 56.
Why not B: Reverses the two. This gives 2³ − 2⁶ = −56, i.e. 56 FEWER subsets, not 56 more.
Why not C: Gets 2ᵐ = 64 right but the other term wrong: 64 − 2² = 60, not 56.
Why not D: 2⁷ − 2³ = 128 − 8 = 120, not 56. The 64 has been read as 128.
In a survey of 60 people, 25 read newspaper H, 26 read T and 26 read I; 9 read both H and I, 11 read both H and T, 8 read both T and I, and 3 read all three. How many read NO newspaper?
  1. 8 ✓
  2. 52
  3. 11
  4. 9
Answer: A. n(H ∪ T ∪ I) = 25 + 26 + 26 − 9 − 11 − 8 + 3 = 52. So those reading none number 60 − 52 = 8.
Why not B: 52 is the number who read AT LEAST ONE paper. The question asks for the rest of the 60.
Why not C: Omits the final +3. Those who read all three were removed once too often by the three pairwise subtractions, so they must be added back — without that step the union comes to 49 and the answer to 11.
Why not D: 60 − 25 − 26 = 9 treats the readerships as disjoint and stops after two of them.

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Other NEET Maths chapters

Relations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and CombinationsBinomial Theorem

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Questions

How many NEET questions are there on Sets?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 11 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.