List of top General Aptitude Questions on Logical and Analytical Reasoning Skills asked in GATE MT, GATE CS

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?

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: 

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.

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: 

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}
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}
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.}
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}?}
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.
Given the sequence: \( 5, 6, 15, \_, 89, 170, 291 \), find the missing number.
Given the following information: \[ \text{Logical address space} = 2^{32}, \quad \text{Page size} = 2084 \, \text{bytes}, \quad \text{PTE size} = 8 \, \text{bytes}, \quad \text{2-level paging system}. \] Calculate the number of bits required to search in the outer level page table.

Given an array \( A[n] \) such that:

\[ A[0] \to A[i] \text{ is in non-decreasing order}, \quad A[i+1] \to A[n] \text{ is in non-increasing order}. \]

Find the time complexity to find \( A[i] \).

Given the matrix \( A = \begin{bmatrix} 1 & 2 \\ 2 & -1 \end{bmatrix} \), find \( A^8 \).

Given that the integral \( I = \int_{x}^{i} \log t \, dt = \frac{1}{4} \), find the value of \( x \).
Let \( L \), \( M \), and \( N \) be non-singular matrices of size \( 3 \times 3 \), such that \( L^2 = L^{-1} \), \( M = L^8 \), and \( N = L^2 \). Find \( |M - N| \).
If \( \to \) denotes increasing order of intensity, then the meaning of the words [walk \( \to \) jog \( \to \) sprint] is analogous to [bothered \( \to \) ...........\_ \( \to \) daunted].
If \( \to \) denotes increasing order of intensity, then the meaning of the words [dry \( \to \) arid \( \to \) parched] is analogous to [diet \( \to \) fast \( \to \) \_\_\_\_\_].

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. 
The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ (anti-diagonal) and MN (main diagonal) form lines of symmetry? (The figure is representative) 

 

The coefficient of \(x^4\) in the polynomial \((x - 1)^3 (x - 2)^3\) is equal to ....................
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty?
(i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.
In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics.
When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college.
Based only on the above information, which one of the following statements can be logically inferred with certainty?

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. 
The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ (anti-diagonal) and MN (main diagonal) form lines of symmetry? (The figure is representative)