1
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
Let $$A = \left[ {\matrix{ 0 & 1 & 0 \cr 1 & 0 & 0 \cr 0 & 0 & 1 \cr } } \right]$$. Then the number of 3 $$\times$$ 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is ____________.
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2
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
Consider the following frequency distribution :

Class : 0-6 6-12 12-18 18-24 24-30
Frequency : $$a $$ $$b$$ 12 9 5

If mean = $${{309} \over {22}}$$ and median = 14, then the value (a $$-$$ b)2 is equal to _____________.
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3
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
The sum of all the elements in the set {n$$\in$$ {1, 2, ....., 100} | H.C.F. of n and 2040 is 1} is equal to _____________.
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4
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
The area (in sq. units) of the region bounded by the curves x2 + 2y $$-$$ 1 = 0, y2 + 4x $$-$$ 4 = 0 and y2 $$-$$ 4x $$-$$ 4 = 0, in the upper half plane is _______________.
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