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Mathematics - Sets and Relations

Practise 20 BITSAT previous year questions on Sets and Relations, compiled from papers spanning 2009 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 BITSAT tests.

Sets and Relations has been asked in 12 of the 16 years of BITSAT papers analysed (2009–2024), with 20 questions in all. 75% of them were easy, 25% moderate and 0% tough. Most of its questions came from 2024, with 4 questions that year. In the last three years (2022–2024) it had 7 questions across 6 papers, about 1.2 per paper.

The chapter's 3 topics are not weighted equally: Questions on Venn Diagram (10 questions, 50%), Questions on number of relations and sets (5 questions, 25%), and Questions on Symmetric Transitive and Reflexive Properties (5 questions, 25%) have been asked the most. Questions on Venn Diagram has also led over the last five years, with 5 questions.

  1. 1Number of subsets of set of letter of word 'MONOTONE'.2024 (Memory Based Paper 1)Questions on number of relations and sets
  2. 2In an examination, of the candidates failed in English, 42% in Mathematics and 20% in both. The number of those who passed in both the subje2024 (Memory Based Paper 1)Questions on Venn Diagram
  3. 3Let be the relation "is congruent to" on the set of all triangles in a plane is2024 (Memory Based Paper 2)Questions on Symmetric Transitive and Reflexive Properties
  4. 4In a statistical investigation of 1003 families of Calcutta, it was found that 63 families has neither a radio nor a TV, 794 families has a 2024 (Memory Based Paper 3)Questions on Venn Diagram
  5. 5A set has 3 elements and another set B has 6 elements. Then2023 (Memory Based Paper 1)Questions on Venn Diagram
  6. 6If and if and , then2023 (Memory Based Paper 2)Questions on number of relations and sets
  7. 7If is a multiple of 4 and, is a multiple of 6 , then consists of multiples of2022Questions on Venn Diagram
  8. 8In a statistical investigation of 1003 families of Calcutta, it was found that 63 families has neither a radio nor a T.V, 794 families has a2020Questions on Venn Diagram
  9. 9Let A = { 1 , 2 , 3 , 4 , 5 } and R be a relation defined by R = { ( x , y ) : x , y A , x + y = 5 } . Then, R is2017Questions on Symmetric Transitive and Reflexive Properties
  10. 10Let A and B be two sets such that A X = B X = and A X = B X for same set X . Then,2017Questions on Venn Diagram
  11. 11Two finite sets have and elements. The number of subsets of the first set is 112 more than that of the second set. The values of and respect2016Questions on number of relations and sets
  12. 12Universal set, What is equal to ?2015Questions on Venn Diagram
  13. 13If . Then, is2015Questions on Symmetric Transitive and Reflexive Properties
  14. 14The set is equal to]2014Questions on Venn Diagram
  15. 15Let be a relation on the set . Then, the relation is2014Questions on Symmetric Transitive and Reflexive Properties
  16. 16A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100 , Physics 70 , Che2013Questions on Venn Diagram
  17. 17Let be the relation on the set of all real numbers, defined by If . Then, is2013Questions on Symmetric Transitive and Reflexive Properties
  18. 18Let A and B be two sets then is equal to2012Questions on Venn Diagram
  19. 19Let \( {A}=\{x: x {R},|x| < 1\}\); \( {B}=\{x: x {R},|x-1| 1\} { and } {A} {B}= {R}- {D} {, }\) then the set \( {D}\) is2010Questions on number of relations and sets
  20. 20If \(A=\{1,2,3,4,5\}\), then the number of proper subsets of \(A\) is2009Questions on number of relations and sets

Frequently Asked Questions

1.How many questions are available for Sets and Relations?

This chapter includes 20 questions compiled from BITSAT papers spanning 2009 to 2024.

2.Are these questions only from BITSAT, or from other exams too?

These are BITSAT 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 BITSAT Mathematics?

Sets and Relations has appeared in 12 of the 16 years of BITSAT papers covered here, with 20 questions across 15 papers - about one per paper it appears in.

4.What is the difficulty level of Sets and Relations questions in BITSAT?

Of the 20 questions analysed for this chapter, 75% are easy, 25% moderate and 0% tough. 2024 had the most, with 4 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 Venn Diagram - 10 questions (50%)
  • Questions on number of relations and sets - 5 questions (25%)
  • Questions on Symmetric Transitive and Reflexive Properties - 5 questions (25%)
6.Is Sets and Relations's weightage in BITSAT going up or down?

Across all 15 papers analysed, Sets and Relations has averaged about 1.3 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.