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Logic: deduction and induction, Analogy, Numerical relations and reasoning

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1&0&0&0&0.3&1
\\\hline\textbf{2 Marks Count} & 1&1&1&1&1&1
\\\hline\textbf{Total Marks} & 3&2&2&\bf{2}&\bf{2.3}&\bf{3}\\\hline
\end{array}}}$$

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In a 500 m race, P and Q have speeds in the ratio of 3 ∶ 4. Q starts the race when P has already covered 140 m. What is the distance between P and Q (in m) when P wins ...
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In how many ways can cells in a $3 \times 3 $ grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown. ...