Mathematics - Sets and Relations
Practise 13 MHTCET previous year questions on Sets and Relations, compiled from papers spanning 2008 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty MHTCET tests.
Sets and Relations has been asked in 7 of the 17 years of MHTCET papers analysed (2007–2026), with 13 questions in all. 69% of them were easy, 15% moderate and 15% tough. Most of its questions came from 2020, with 5 questions that year. In the last three years (2024–2026) it had 2 questions across 59 papers, about 0 per paper.
The chapter's 2 topics are not weighted equally: Questions on number of relations and sets (8 questions, 62%) and Questions on Venn Diagram (5 questions, 38%) have been asked the most. Questions on number of relations and sets has also led over the last five years, with 2 questions. Questions on Venn Diagram has produced the most tough questions (2).
- 1Let be a non-empty subset of . Consider the following statement: p : There is a rational number such that . Which of the following statement16 May, 2024 (M)Questions on number of relations and sets
- 2If . Then the number of subsets of the set each having at least 3 elements are15 May, 2024 (M)Questions on number of relations and sets
- 3The given circuit is equivalent to10 May, 2023 (M)Questions on Venn Diagram
- 4Let . Relation are as follows:20 Sep, 2021 (E)Questions on number of relations and sets
- 5Preview not available - open to view this question.20 Oct, 2020 (E)Questions on Venn Diagram
- 6If , then the total number of relations from set to set are16 Oct, 2020 (M)Questions on number of relations and sets
- 7Given If is a relation from to such that with , then range of is14 Oct, 2020 (E)Questions on number of relations and sets
- 8If is a prime number, , then the number of elements of power set of is13 Oct, 2020 (E)Questions on number of relations and sets
- 9If , then12 Oct, 2020 (M)Questions on number of relations and sets
- 10If A = x ∈ R : x 2 - 5 x + 6 = 0 , then n A = ________02 May, 2019 (M)Questions on number of relations and sets
- 11If A = { x | x ∈ N , x is a prime number less than 12} and B = {x | x ∈ N , x is factor of 10}, then A ∩ B =…2019 (E)Questions on Venn Diagram
- 12If X = 4 n - 3 n - 1 : n ∈ N and Y = 9 n - 1 : n ∈ N , then X ∩ Y =2018Questions on Venn Diagram
- 13The chances to fail in Physics are and the chances to fail in Mathematics are What are the chances to fail in at least one subject?2008Questions on Venn Diagram
Frequently Asked Questions
1.How many questions are available for Sets and Relations?
This chapter includes 13 questions compiled from MHTCET papers spanning 2008 to 2024.
2.Are these questions only from MHTCET, or from other exams too?
These are MHTCET questions specifically for the Sets and Relations chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Sets and Relations an important chapter for MHTCET Mathematics?
Sets and Relations has appeared in 7 of the 17 years of MHTCET papers covered here, with 13 questions across 13 papers - about one per paper it appears in.
4.What is the difficulty level of Sets and Relations questions in MHTCET?
Of the 13 questions analysed for this chapter, 69% are easy, 15% moderate and 15% tough. 2020 had the most, with 5 questions.
5.Which topics in Sets and Relations should I focus on?
These topics have carried the most weightage in Sets and Relations:
- Questions on number of relations and sets - 8 questions (62%)
- Questions on Venn Diagram - 5 questions (38%)
- Questions on Venn Diagram has produced the most tough questions (2).
6.Is Sets and Relations's weightage in MHTCET going up or down?
Across all 13 papers analysed, Sets and Relations has averaged about 1.0 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.