Sets and Relation questions
172 published questions with worked solutions.
- Let _ i=1 ^ 50 X_i= _ i=1 ^ n Y_i=T, where each X_i contains 10 elements and each Y_i contains 5 elements. If each element of the...
- A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of...
- In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the...
- Out of all the patients in a hospital 89% are found to be suffering from heart ailment and 98% are suffering from lungs...
- Let A= x R:|x+1|<2 and B= x R:|x-1| 2 . Then which one of the following statements is NOT true? (JEE Main 2023)
- An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and...
- 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...
- Let X= n N:1 n 50 . If A= n X:n is a multiple of 2 and B= n X:n is a multiple of 7 , then the number of elements in the smallest...
- Let A= n N n^2 n+10 , 000 , B= 3k+1 k N and C= 2k k N , then the sum of all the elements of the set A (B-C) is equal to (JEE Main...
- If A= x R :|x-2|>1 , B= x R : x^2-3 >1 , C= x R :|x-4| 2 and Z is the set of all integers, then the number of subsets of the set...
- Let A= n N : H.C.F. (n,45)=1 and B= 2k:k 1,2, ,100 . Then the sum of all the elements of A B is (JEE Main 2022)
- Let A= 1,2,3,4,5,6,7 . Define B= T A: either 1 T or 2 T and C= T A: the sum of all the elements of T is a prime number . Then the...
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