Sets

JEE Main 2026 (Online) 22nd January Evening ShiftNumericalEasy📈 Topic in 5% papers+4

Ques. 1JEE Main 2026, 22 January (Evening Shift)

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 even\ is .

Answer

1979

S = \1, 2, , 11\ has 5 even and 6 odd numbers.

The product of the elements of B is even B contains at least one even number.

Non-empty subsets with at least one even number = 211 - 26 = 2048 - 64 = 1984

(all subsets minus the subsets made of odd numbers only, including )

Of these, subsets with only one element are \2\, \4\, \6\, \8\, \10\, i.e. 5.

n(A) = 1984 - 5 = 1979

Answer: 1979

Ques. 2JEE Main 2026, 21 January (Evening Shift)

Let A = \x : |x2 - 10| 6\ and B = \x : |x - 2| > 1\. Then

Ques. 3JEE Main 2025, 7 April (Evening Shift)

Let A = \( , ) R R : | - 1| 4 and | - 5| 6\ and B = \( , ) R R : 16( - 2)2 + 9( - 6)2 144\. Then

Ques. 4JEE Main 2025, 4 April (Morning Shift)

Let A = \1, 6, 11, 16, \ and B = \9, 16, 23, 30, \ be the sets consisting of the first 2025 terms of two arithmetic progressions. Then n(A B) is

Ques. 5JEE Main 2025, 23 January (Evening Shift)

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

Ques. 6JEE Main 2025, 22 January (Morning Shift)

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

All JEE Main Mathematics chapters