GATE CS question library

Despite his initial hesitation, Rehman's ____________ to contribute to the success of the project never wavered. Select the most appropriate option to complete the above sentence.

​​​​​Bird : Nest :: Bee : ______

​​​​​​If $P \: e^{x} = Q \: e^{-x}$ for all real values of $x$, which one of the following statements is true?

The paper as showin the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube? Note: The figures showin are representative.

​​​​​Let $p_1$ and $p_2$ denote two arbitrary prime numbers. Which one of the following statemetns is correct for all values of $p_1$ and $p_2$?

​​​​​Based only on the conversation below, identify the logically correct inference: "Even if I had known that you were in the hospital, I would not have gone there to see you", Ramya told Josephine.

​​​​If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH?

Which one of the following options is correct for the given data in the table? …

In the Given figure, PQRS is a square of side $2$ cm and PLMN is a rectangle. The corner L of teh rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square. What is the area (in $cm^2$) of the rectangle PLMN? Note: The figure shown is representative.

​​​​​​The diagram below shows a river system consisting of $7$ segments, marked $P, Q, R, S, T, U,$ and $V.$ It splits the land into $5$ zones, marked $Z1, Z2, Z3, Z4,$ and $Z5$. We need to connect these zones using the least number of bridges, Out of the following options, which one is correct? Note: The figure shown is representative.