JEE Main 2022 (Online) 26th June Morning Shift | Sets and Relations Question 47 | Mathematics

JEE Main 2022 (Online) 26th June Morning Shift

Numerical

-1

Let $$A = \sum\limits_{i = 1}^{10} {\sum\limits_{j = 1}^{10} {\min \,\{ i,j\} } } $$ and $$B = \sum\limits_{i = 1}^{10} {\sum\limits_{j = 1}^{10} {\max \,\{ i,j\} } } $$. Then A + B is equal to _____________.

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JEE Main 2022 (Online) 24th June Evening Shift

Numerical

-1

The sum of all the elements of the set $$\{ \alpha \in \{ 1,2,.....,100\} :HCF(\alpha ,24) = 1\} $$ is __________.

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JEE Main 2021 (Online) 27th August Morning Shift

Numerical

-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 ________________.

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JEE Main 2021 (Online) 27th July Evening Shift

Numerical

-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 _____________.

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