1
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
If A = {x $$\in$$ R : |x $$-$$ 2| > 1},
B = {x $$\in$$ R : $$\sqrt {{x^2} - 3}$$ > 1},
C = {x $$\in$$ R : |x $$-$$ 4| $$\ge$$ 2} and Z is the set of all integers, then the number of subsets of the
set (A $$\cap$$ B $$\cap$$ C)c $$\cap$$ Z is ________________.
2
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 _____________.
3
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 ________.
4
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 ______.
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