1
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
The number of skew-symmetric matrices $A=\left[a_i j\right]_{3 \times 3}$, where $a_i j \in\{-3,-2,-1,0,1,2,3\}$ is:
2
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
$$ \text { Define binary operation * on } Q \text { by } a * b=a+b-3 \text {. The inverse of } 2 \text { with respect to * is } $$
3
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
Let $[x]$ denote the greatest integer less than or equal to $x$. The number of positive integer solutions of the equation
$$ \left[\frac{x}{19}\right]=\left[\frac{x}{20}\right] $$
are:
4
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ and $g: \mathbb{R} \rightarrow \mathbb{R}$ be two functions such that
$$ g \circ f(x)= \begin{cases}x^2, & \text { if } x \geq 0 \\ e^x-1, & \text { if } x<0\end{cases} $$
Then which of the following statements is correct?
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Physics
15
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