List of top General Aptitude Questions asked in GATE CS, GATE NM

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

In the given figure, PQRS is a square of side 2 cm, and PLMN is a rectangle. The corner \( L \) of the 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: 

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.

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: 

Bird : Nest :: Bee : __________
Select the correct option to complete the analogy.

The paper as shown in 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 shown are representative.

Let \( P(x) \) be an arbitrary predicate over the domain of natural numbers. Which ONE of the following statements is TRUE?
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?

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.

Let \( p_1 \) and \( p_2 \) denote two arbitrary prime numbers. Which one of the following statements is correct for all values of \( p_1 \) and \( p_2 \)?

According to the map shown in the figure, which one of the following statements is correct?
Note: The figure shown is representative.


 

Consider the relationships among P, Q, R, S, and T: 
• P is the brother of Q. 
• S is the daughter of Q. 
• T is the sister of S. 
• R is the mother of Q. 
The following statements are made based on the relationships given above.
(1) R is the grandmother of S. 
(2) P is the uncle of S and T. 
(3) R has only one son. 
(4) Q has only one daughter. 
Which one of the following options is correct?

The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?
In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the 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? \begin{center} \includegraphics[width=0.7\textwidth]{03.jpeg} \end{center}

An electricity utility company charges ₹7 per kWh. If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?
 

The diagram shows a river system with 7 segments (P, Q, R, S, T, U, V) splitting the land into 5 zones (Z1–Z5). We need to connect these zones using the least number of bridges. Which option is correct? \begin{center} \includegraphics[width=0.7\textwidth]{04.jpeg} \end{center}
If \textsc{IMAGE and \textsc{FIELD} are coded as \textsc{FHBNJ} and \textsc{EMFJG} respectively, then which option is the most appropriate code for \textsc{BEACH}?}
Based only on the conversation below, identify the logically correct inference:
\emph{"Even if I had known that you were in the hospital, I would not have gone there to see you," Ramya told Josephine.}
Let $p_1$ and $p_2$ denote two arbitrary prime numbers. Which one of the following statements is correct for \emph{all values of $p_1$ and $p_2$?}
The paper as shown in 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? \textit{Note: The figures shown are representative.} \begin{center} \includegraphics[width=0.7\textwidth]{01.jpeg} \end{center}
Bird : Nest :: Bee : _____ \quad Select the correct option to complete the analogy.
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.
Given the sequence: \( 5, 6, 15, \_, 89, 170, 291 \), find the missing number.
Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions:
1. \( P<Q \)
2. \( S>P>T \)
3. \( R<T \)
If integers 1 through 5 are used to construct such a number, the value of P is:

Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?
Note: The figure shown is representative.