1
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1
Change Language

The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is ___________.

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2
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1
Change Language

If a1 (> 0), a2, a3, a4, a5 are in a G.P., a2 + a4 = 2a3 + 1 and 3a2 + a3 = 2a4, then a2 + a4 + 2a5 is equal to ___________.

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3
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1
Change Language

The integral $${{24} \over \pi }\int_0^{\sqrt 2 } {{{(2 - {x^2})dx} \over {(2 + {x^2})\sqrt {4 + {x^4}} }}} $$ is equal to ____________.

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4
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1
Change Language

If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is p, then 96 p is equal to _______________.

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