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Syllabus: Numerical computation, Numerical estimation, Numerical reasoning and data interpretation

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 2 &1&2&1&2&3&2&3&1&2&1&1.9&3
\\\hline\textbf{2 Marks Count} & 2 &3&2&3&3&4&4&4&3&3&2&3.1&4
\\\hline\textbf{Total Marks} & 6 &7&6&7&8&11&10&11&7&8&\bf{6}&\bf{8.1}&\bf{11}\\\hline
\end{array}}}$$

Previous GATE Questions in Quantitative Aptitude

6 votes
5 answers
3
For positive non-zero real variables $x$ and $y$, if\[\ln \left(\frac{x+y}{2}\right)=\frac{1}{2}[\ln (x)+\ln (y)]\]then, the value of $\frac{x}{y}+\frac{y}{x}$ is$1$$1 / ...
2 votes
1 answer
6
4 votes
1 answer
7
Consider the following sample of numbers:$9,18,11,14,15,17,10,69,11,13$The median of the sample is$13.5$$14$$11$$18.7$
3 votes
3 answers
8
2 votes
2 answers
9
For positive non-zero real variables $p$ and $q$, if$\log \left(p^2+q^2\right)=\log p+\log q+2 \log 3,$then, the value of $\frac{p^4+q^4}{p^2 q^2}$ is$79$$81$$9$$83$
8 votes
1 answer
12
A series of natural numbers $F_1, F_2, F_3, F_4, F_5, F_6, F_7, \ldots$ obeys $F_{n+1}=F_n+F_{n-1}$ for all integers $n \geq 2$.If $F_6=37,$ and $F_7=60,$ then what is $F...
13 votes
2 answers
15
A function $y(x)$ is defined in the interval $[0, 1]$ on the $x – $ axis as$$y(x) = \left\{\begin{matrix} 2& \text{if} & 0 \leq x < \frac{1}{3} \\ 3& \text{if}& \frac{1...
13 votes
1 answer
16
Let $r$ be a root of the equation $x^{2} + 2x + 6 = 0.$Then the value of the expression $(r+2) (r+3) (r+4) (r+5)$ is$51$$-51$$126$$-126$
8 votes
2 answers
19
8 votes
3 answers
20
​​​​​​If $\left( x – \dfrac{1}{2} \right)^2 – \left( x- \dfrac{3}{2} \right) ^2 = x+2$, then the value of $x$ is:$2$$4$$6$$8$