Class 11 Maths Chapter 1 Sets JEE Main PYQ

Class 11 Maths Chapter 1 Sets JEE Main PYQ

SETS(JEE MAIN PYQ)

Q1.In a class of 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number is divisible by 3 opted Physics course and those whose number is divisible by 5 opted Chemistry course. Then the number of students who did not opt for any of the three courses is:  JEE (Main) 2019

1. 102                                    ii) 42                            iii) 1                             iv) 38

Q2.A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be : JEE Main 5th Sep -I 2020

1. 65                          ii) 55                            iii) 36                           iv) 38

Q3.3 games are played in school. If some students play exactly 2 games and no student play all 3 games, then which of the following venn diagram represent the above situation : JEE Main 2021 17th March Shift I         

1. P  & Q                  ii) P & R                     iii) Q & R                     iv) None of the above

Q4. In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these students is selected at random, then the probability that the student selected has opted neither for NCC nor for NSS is : JEE (Main) 2019, 12th Jan II

1. 1/6                         ii) 1/3                           iii) 2/3                          iv) 5/6

Q5. A Survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read both the newspapers, then a possible value of x can be: JEE Main 2020 -4th Sep -I

1. 37                          ii) 55                            iii) 65                           iv) 29

Q6. Two newspapers A and B are published in a city. It is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. Further, 30% of those who read A but not B look into advertisements and 40% of those who read B but not A also look into advertisements, while 50% of those who read both A and B look into advertisements. Then the percentage of the population who look into advertisements is : JEE Main 9th April-II 2019

1. 13.9                       ii) 12.8                         iii) 13.5                                    iv) 13

Q7. Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m.n is____________  [JEE Main Sep. 06, 2020 (1)]

Q8: Let S = {1, 2, 3, …, 100}. The number of non-empty subsets A of S such that the product of elements in A is even is : [JEE Main Jan. 12, 2019 (1)]

1. 2¹⁰⁰-1                     ii) 2⁵⁰(2⁵⁰-1)                             iii) 2⁵⁰-1                                   iv) 2⁵⁰+ 1

Q9: Let

where each Xi contains 10 elements and each Yi contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xi’s and exactly 6 of sets Yi’s, then n is equal to [JEE Main Sep. 04, 2020 (2)]

1. 15                          ii) 50                            iii) 45                           iv) 30

Q10: Let A, B and C be sets such that Φ≠ A ⋂B ⊆C, Then which of the following statements is not true? [JEE Main April. 12, 2019 (2)]

1. B ⋂C ≠  Φ                                                            ii) (C U A) ⋂(C U B) = C                 
2. iii) If (A -B) ⊆C, then A ⊆C                              iv) If (A -C) ⊆B then A ⊆B