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1
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1
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The sum of all the elements of the set $$\{ \alpha \in \{ 1,2,.....,100\} :HCF(\alpha ,24) = 1\} $$ is __________.

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2
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1
Change Language

The remainder on dividing 1 + 3 + 32 + 33 + ..... + 32021 by 50 is _________.

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3
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1
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The area (in sq. units) of the region enclosed between the parabola y2 = 2x and the line x + y = 4 is __________.

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4
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1
Change Language

Let a circle C : (x $$-$$ h)2 + (y $$-$$ k)2 = r2, k > 0, touch the x-axis at (1, 0). If the line x + y = 0 intersects the circle C at P and Q such that the length of the chord PQ is 2, then the value of h + k + r is equal to ___________.

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