GATE CS question library

The country of Zombieland is in distress since more than $75 \%$ of its working population is suffering from serious health issues. Studies conducted by competent health experts concluded that a complete lack of physical exercise among its working population was one of the leading causes of their health issues. As one of the measures to address the …

Consider two functions of time $(t),$ $$\begin{gathered} f(t)=0.01 t^2 \\ g(t)=4 t \end{gathered}$$ where $0<t<\infty.$ Now consider the following two statements: For some $t>0, g(t)>f(t)$. There exists a $T,$ such that $f(t)>g(t)$ for all $t>T$. Which one of the following options is $\text{TRUE}?$

Which one of the following sentence sequences creates a coherent narrative? Once on the terrace, on her way to her small room in the corner, she notices the man right away. She begins to pant by the time she has climbed all the stairs. Mina has bought vegetables and rice at the market, so her bags are heavy. He was leaning against the parapet, watching the …

$f(x)$ and $g(y)$ are functions of $x$ and $y$, respectively, and $f(x)=g(y)$ for all values of $x$ and $y$. Which one of the following options is necessarily $\text{TRUE}$ for a $x$ and $y?$

Which one of the options best describes the transformation of the $2$-dimensional figure $\mathbf{P}$ to $\mathbf{Q}$, and then to $\mathbf{R}$, as shown?