JEE Main questions
34495 published questions with worked solutions.
- Let A_1,A_2,A_3, ,A_ 100 be 100 sets such that n(A_i)=i+1 and A_1 A_2 A_3 A_ 100 . Then _ i=1 ^ 100 A_i contains ... elements.
- In a class of 45 students, every student speaks Hindi or English. 22 students speak Hindi only and 12 students speak English...
- Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all...
- In an election between two contestants A and B, x % of the total voters voted for A and (x+20) % voted for B. If 20% of the...
- A, B and C are three non-empty sets. If A B and B C, then which of the following is true?
- If A= x:x is a multiple of 4 and B= x:x is a multiple of 6 , then A B is the set of all multiples of
- In a battle, 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, and x % lost all the four. The minimum value...
- From 50 students taking examinations in Mathematics, Physics and Chemistry, 37 passed Mathematics, 24 Physics and 43 Chemistry....
- If A= (x,y):y^2=x; x,y R and B= (x,y):y=|x|; x,y R , then
- If A= x:x is a multiple of 3 and B= x:x is a multiple of 5 , then A-B is
- If A and B are two sets, then A (A B) equals
- If n(A B)=10, n(B C)=20 and n(A C)=30, then the greatest possible value of n(A B C) is
- Let A be the set of squares of natural numbers, and x,y be any two elements of A. Then,
- If A= p:p= (n+2)(2n^5+3n^4+4n^3+5n^2+6) n^2+2n , n,p Z^+ , then the number of elements in the set A is
- If A= , , then the power set of A is
- If A, B and C are three sets such that A B C, then (A B C)-(A B C)=
- If A= 1,3,5,7,9,11,13,15,17 , B= 2,4,6, ,18 and N is the universal set, then A' ((A B) B') is
- If X= 4^n-3n-1:n N and Y= 9(n-1):n N , then X Y is equal to
- In an office, every employee likes at least one of tea, coffee and milk. The numbers of employees who like only tea, only coffee,...
- Let n( U )=700, n(A)=200, n(B)=300 and n(A B)=100. Then, n(A^c B^c)=