1
JEE Main 2023 (Online) 12th April Morning Shift
Numerical
+4
-1
Change Language

A fair $$n(n > 1)$$ faces die is rolled repeatedly until a number less than $$n$$ appears. If the mean of the number of tosses required is $$\frac{n}{9}$$, then $$n$$ is equal to ____________.

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2
JEE Main 2023 (Online) 12th April Morning Shift
Numerical
+4
-1
Change Language

If $$\int_\limits{-0.15}^{0.15}\left|100 x^{2}-1\right| d x=\frac{k}{3000}$$, then $$k$$ is equal to ___________.

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3
JEE Main 2023 (Online) 12th April Morning Shift
Numerical
+4
-1
Change Language

The number of relations, on the set $$\{1,2,3\}$$ containing $$(1,2)$$ and $$(2,3)$$, which are reflexive and transitive but not symmetric, is __________.

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4
JEE Main 2023 (Online) 12th April Morning Shift
Numerical
+4
-1
Change Language

Let $$[x]$$ be the greatest integer $$\leq x$$. Then the number of points in the interval $$(-2,1)$$, where the function $$f(x)=|[x]|+\sqrt{x-[x]}$$ is discontinuous, is ___________.

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