JEE Main questions
34495 published questions with worked solutions.
- Let Z be the set of integers. If A= x Z:2^ (x+2)(x^2-5x+6) =1 and B= x Z:-3<2x-1<9 , then the number of subsets of the set A B is...
- 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%...
- Let A, B and C be sets such that A B C. Then which of the following statements is not true? (JEE Main 2019)
- Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A B and B D, then A C" is (JEE Main 2020)
- If A= x R:|x|<2 and B= x R:|x-2| 3 , then (JEE Main 2020)
- Consider the two sets: A= m R: both the roots of x^2-(m+1)x+m+4=0 are real and B=[-3,5). Which of the following is not true? (JEE...
- 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...
- 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...
- The number of elements in the set x R:(|x|-3)|x+4|=6 is equal to (JEE Main 2023)
- 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)
- Let S= x [-6,3]- -2,2 : |x+3|-1 |x|-2 0 and T= x Z :x^2-7|x|+9 0 . Then the number of elements in S T is (JEE Main 2023)
- A bag contains 6 white and 4 black balls. A die is rolled once and as many balls as the number obtained on the die are drawn from...
- 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...
- The sum of all the elements in the set n 1,2, ,100 H.C.F. of n and 2040 is 1 is equal to (JEE Main 2021)
- 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...