1
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
Change Language
If the remainder when x is divided by 4 is 3, then the remainder when (2020 + x)2022 is divided by 8 is __________.
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2
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
Change Language
The total number of two digit numbers 'n', such that 3n + 7n is a multiple of 10, is __________.
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3
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
Change Language
The value of $$\int\limits_{ - 2}^2 {|3{x^2} - 3x - 6|dx} $$ is ___________.
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4
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
Change Language
A line 'l' passing through origin is perpendicular to the lines

$${l_1}:\overrightarrow r = (3 + t)\widehat i + ( - 1 + 2t)\widehat j + (4 + 2t)\widehat k$$

$${l_2}:\overrightarrow r = (3 + 2s)\widehat i + (3 + 2s)\widehat j + (2 + s)\widehat k$$

If the co-ordinates of the point in the first octant on 'l2‘ at a distance of $$\sqrt {17} $$ from the point of intersection of 'l' and 'l1' are (a, b, c) then 18(a + b + c) is equal to ___________.
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