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Mathematics - Sets and Relations

Practise 35 NTA Abhyas (JEE Main) questions on Sets and Relations. Each question shows a quick preview so you can jump straight to the topic you want to revise.

Sets and Relations has been asked in 0 of the 24 years of NTA Abhyas (JEE Main) papers analysed (2002–2025), with 35 questions in all. 100% of them were easy, 0% moderate and 0% tough. Most of its questions came from 2025, with 0 questions that year. In the last three years (2023–2025) it had 0 questions across 63 papers, about 0 per paper.

All of the chapter's questions come from a single topic, Uncategorized.

  1. 1A relation R is defined from { 2 , 3 , 4 , 5 } to { 3 , 6 , 7 , 10 } by x R y x is relatively prime to y , then domain of R is
  2. 2For two sets A and B , if n A = 7 , n B = 13 and n A B = 5 , then the incorrect statement is
  3. 3Let W denotes the words in the English dictionary. If the relation R is given by R = { x , y ∈ W × W : the word x a n d y h a v e a t l e a
  4. 4The set A ∪ B ∪ C ∩ A ∩ B ′ ∩ C ′ ′ ∩ C is equal to
  5. 5The relation R given by x , y : x 2 - 3 x y + 2 y 2 = 0 , x , y R is
  6. 6Let A and B be two sets. The set A has 2016 more subsets than B. If A ∩ B has 3 members, then the number of members in A ∪ B is
  7. 7Let Z be the set of integers, if A = x ∈ Z : x - 3 x 2 - 5 x + 6 = 1 and B = x ∈ Z : 10 3 x + 1 22 , then the number of subsets of the set A
  8. 8Let R = 1 , 3 , 4 , 2 , 2 , 4 , 2 , 3 , ( 3 , 1 ) be a relation on the set A = 1, 2 , 3, 4 . The relation R is
  9. 9Consider a relation R defined as a R b if 2 + a b 0 where a , b are real numbers. Then, the relation R is
  10. 10If in a class there are 200 students in which 120 take Mathematics, 90 take Physics, 60 take Chemistry, 50 take Mathematics Physics, 50 take
  11. 11If A = x : x = 3 n - 2 n - 1 , n ∈ N and B = x : x = 4 n - 1 , n ∈ N , then
  12. 12If A B are two sets such that n A × B = 60 n A = 12 also n A ∩ B = K , then the sum of maximum minimum possible value of K is
  13. 13For two sets A and B , if n A = 20 , n B = 18 and n A B = 5 , then n A - B is equal to
  14. 14For any two sets A and B , the values of A - B ∪ B C is equal to
  15. 15If the difference between the number of subsets of the sets A and B is 120 , then choose the incorrect option.
  16. 16If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7 , then the number of relations from A to B
  17. 17In a certain town 25 % families own a cell phone, 15 % families own a scooter and 65 % families own neither a cell phone nor a scooter. If 1
  18. 18If A = x ∈ R : x 2 and B = x ∈ R : x - 2 ≥ 3 ; then
  19. 19A survey shows that 69 % students like mathematics, whereas 75 % like chemistry. If x % students like both the subjects, then the maximum va
  20. 20The relation R is defined in the set 1 , 2 , 3 , 4 , 5 , 6 as R = ( a , b ) : b = a + 1 , then
  21. 21If A = x : x 2 - 5 x + 6 = 0 , B = 2 , 4 , C = 4 , 5 , then A × B ∩ C is
  22. 22The set A ∪ B ∪ C ∩ A ∩ B ′ ∩ C ′ ′ is equal to
  23. 23If relations R 1 and R 2 from set A to set B are defined as R 1 = 1 , 2 , 3 , 4 , 5 , 6 and R 2 = 2 , 1 , 4 , 3 , 6 , 5 , then n A × B can b
  24. 24Let n ( A ) denotes the number of elements in the set A . If n A = 4 , n B = 5 and n A B = 3 , then n [ ( A B ) ( B A ) ] is equal to
  25. 25If A and B are two sets such that n A = 2 and n B = 4 , then the total number of subsets of A × B not having more than 5 elements are
  26. 26If A = 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 , B = 2 , 4 , … , 16 and N is the universal set, then A ′ ∪ A ∪ B ∩ B ′ is (where, N is the set of n
  27. 27The number of elements in the set a , b : a 2 + b 2 = 50 ; a , b Z , where Z is the set of all integers, is
  28. 28Let S be the set of all real numbers. Then, the relation R = { a , b : 1 + a b 0 } on S is
  29. 29If A = x : x = 6 n - 5 n - 1 , n ∈ N and B = x : x = 25 ( n - 1 ) , n ∈ N , then
  30. 30If the difference between the number of subsets of two sets A and B is 120 , then n A B is equal to
  31. 31Let P be the relation defined on the set of all real numbers such that P = a, b : sec 2 a - tan 2 b = 1 . Then P is
  32. 32The relation "less than" in the set of natural numbers is
  33. 33If set A = x : tan x = sec x , x 0,4 and set B = x : sin 2 x = 1 , x 0,4 , then
  34. 34The shaded region in the given figure represents
  35. 35If R = x , y | x , y ∈ Z , x 2 + y 2 ≤ 4 is a relation in Z , then domain of R is

Frequently Asked Questions

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

This chapter includes 35 NTA Abhyas (JEE Main) questions.

2.Are these questions only from NTA Abhyas (JEE Main), or from other exams too?

These are NTA Abhyas (JEE Main) questions specifically for the Sets and Relations chapter. Questions from other exams like JEE Main or JEE Advanced are organised separately under their respective exam sections.

3.What is the difficulty level of Sets and Relations questions in NTA Abhyas (JEE Main)?

Of the 35 questions analysed for this chapter, 100% are easy, 0% moderate and 0% tough. 2025 had the most, with 0 questions.

4.Which topics in Sets and Relations should I focus on?

All of this chapter's questions come from a single topic: Uncategorized.