JEE Main questions
34495 published questions with worked solutions.
- The finite sets A and B have m and n elements respectively. If the total number of subsets of A is 112 more than the total number...
- In a class of 30 pupils, 12 take needlework, 16 take physics and 18 take history. If all the 30 pupils take at least one subject...
- If A= 1,2,3,4,5 , B= 2,4,6 , C= 3,4,6 , then (A B) C is (OJEE 2004)
- If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets A B and B A is
- For any two sets A and B, A-(A-B) equals
- If n(A)=4, n(B)=3 and n(A B C)=24, then n(C) is equal to
- Let Y= 1,2,3,4,5 , A= 1,2 , B= 3,4,5 and denote the null set. If A B denotes the Cartesian product of the sets A and B, then (Y...
- n(n+1)(2n+1):n Z (EAMCET 2005)
- If A= 1,2,3 , B= 3,4 and C= 4,5,6 , then A (B C) is (OJEE 2008)
- If sets A and B are defined as A= (x,y):y= 1 x , 0 x R and B= (x,y):y=-x, x R , then (Guj CET 2007)
- In a certain town 25% families own a cell phone, 15% families own a scooter and 65% families own neither a cell phone nor a...
- Let the universal set be U= x:x^5-6x^4+11x^3-6x^2=0 , A= x:x^2-5x+6=0 and B= x:x^2-3x+2=0 . Then, (A B)' is equal to (BITSAT 2006)
- An investigator interviewed 100 students to determine their preference for three drinks: milk, coffee and tea. The investigator...
- Which of the following is true? (OJEE 2007)
- If n(A) denotes the number of elements in the set A and if n(A)=4, n(B)=5 and n(A B)=3, then n[(A B) (B A)] is equal to
- Two finite sets have m and n elements. The number of elements in the power set of the first set is 48 more than the number of...
- The number of elements in the set (a,b):2a^2+3b^2=35, a,b Z , where Z is the set of all integers, is
- Three sets A, B, C are such that A=B C and B=C A, then
- Let A= x:x is a multiple of 3 and B= x:x is a multiple of 5 . Then, A B is given by (AMU 2006)
- If A= x,y , then the power set of A is (UP SEE 2006, Guj CET 2006)