1
JEE Main 2021 (Online) 27th July Evening Shift
Numerical
+4
-1
Let A = {n $$\in$$ N | n2 $$\le$$ n + 10,000}, B = {3k + 1 | k$$\in$$ N} an dC = {2k | k$$\in$$N}, then the sum of all the elements of the set A $$\cap$$(B $$-$$ C) is equal to _____________.
2
JEE Main 2021 (Online) 24th February Morning Shift
Numerical
+4
-1
Let  A = {n $$\in$$ N: n is a 3-digit number}

B = {9k + 2: k $$\in$$ N}

and C = {9k + $$l$$: k $$\in$$ N} for some $$l ( 0 < l < 9)$$

If the sum of all the elements of the set A $$\cap$$ (B $$\cup$$ C) is 274 $$\times$$ 400, then $$l$$ is equal to ________.
3
JEE Main 2020 (Online) 6th September Morning Slot
Numerical
+4
-0
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 of B, then the value of m.n is ______.
4
JEE Main 2020 (Online) 7th January Evening Slot
Numerical
+4
-0
Let X = {n $$\in$$ N : 1 $$\le$$ n $$\le$$ 50}. If
A = {n $$\in$$ X: n is a multiple of 2} and
B = {n $$\in$$ X: n is a multiple of 7}, then the number of elements in the smallest subset of X containing both A and B is ________.