QJEEM21Maba53: JEE Main 2021 Mathematics - Class 11 JEEM21Maba53 Solution: The sum of all the elements in the set {n ∈ {1, 2, ....., 100}…

2040 = 2³ $$\times$$ 3 $$\times$$ 5 $$\times$$ 17

n should not be multiple of 2, 3, 5 and 17.

Sum of all n = (1 + 3 + 5 + ...... + 99) $$-$$ (3 + 9 + 15 + 21 + ...... + 99) $$-$$ (5 + 25 + 35 + 55 + 65 + 85 + 95) $$-$$ (17)

= 2500 $$-$$ $$\frac{17}{2}$$(3 + 99) $$-$$ 365 $$-$$ 17

2500 $$-$$ 867 $$-$$ 365 $$-$$ 17

= 1251