1
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Let $f: Q \rightarrow Q$ be a function such that $f(x+y)=f(x)+f(y)$ for all $x, y \in \mathbf{Q}$, and $f(1)=$ 10. Which one of the following statements is Correct?
2
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Let $I=\int_{e^{-\pi / 2}}^{e^{\pi / 2}}\left(\sin ^2(\log (x))+\sin \left(\log \left(x^2\right)\right)\right) d x$. What is the value of $I$ ?
3
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Consider the following subset of the $X Y$-plane.
$$ S=\left\{\left(|z-\mathrm{i} z|,|z|^2\right): \quad z \text { is a complex number }\right\} $$
Which one of the following statements is correct?
4
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
A ship sets off on a voyage with three engines, labelled $A, B$, and $C$, which work independently. The ship can complete the voyage only if at least two of these engines keep working. The probability that engine $A$ breaks down is $1 / 4$, that engine $B$ breaks down is $1 / 4$, and that engine $C$ breaks down is $1 / 2$. What is the probability that the ship can complete the voyage?
Paper analysis
Total Questions
Biology
15
Chemistry
15
Mathematics
15
Physics
15
More papers of IAT (IISER)
IAT (IISER)
Papers
2024
2020