Sets & Operations: JEE Questions & Solutions

Let A = x: |x^2 - 10| 6 and B = x: |x - 2| 1. Then

Let S be the set of the first 11 natural numbers. Then the number of elements in A = B S: n(B) 2 and the product of all elements of B is…

Let A = 1, 2, 3,, 10 and B = mn: m, n A, m < n and (m, n) = 1. Then n(B) is equal to:

Let A = (x, y) R R: |x + y| 3 and B = (x, y) R R: |x| + |y| 3. If C = (x, y) A B: x = 0 or y = 0, then (x, y) C |x| + |y| is:

Let S = p1, p2,, p10 be the set of the first ten prime numbers. Let A = S P, where P is the set of all possible products of distinct…

Let A = x (0,) - ( 2) x + ( 2) x = 2 and B = x 0: x( x - 4) - 3 x - 2 + 6 = 0. Then n(A B) is equal to:

Let M denote the set of all real matrices of order 3 3 and let S = -3, -2, -1, 1, 2. Let S1 = A = [aij] M: A = A^T and aij S, i, j, S2 = A…

Let the set C = (x, y) | x^2 - 2y = 2023, x, y N. Then (x, y) C(x + y) is equal to:

A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics, Chemistry. It was found that all students passed in…

Let A = n [100, 700] N: n is neither a multiple of 3 nor a multiple of 4. Then the number of elements in A is:

Let A = x R: |x+3| + |x+4| 3, B = x R: 3 r=1^3x-310^-r < 3^-[x] where [x] denotes the greatest integer function. Then,

Let the sets A and B denote the domain and range respectively of the function f(x) = 1 |x|-x, where [x] denotes the smallest integer…

Negation of ((p q) (q p)) is:

The number of elements in the set n Z: |n^2 - 10n + 19| < 6 is:

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 only 5 men…

The set of all a R for which the equation x - |x - 1| + |x + 2| + a = 0 has exactly one real root is:

The number of elements in the set n N: 10 n 100 and 3^n-3 is a multiple of 7 is