List of top General Aptitude Questions asked in GATE Production and Industrial Engineering

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius $ r $ cm as shown in the figure. The side of the dodecagon is $ d $ cm. All the triangles (numbered 1 to 12 in the figure) are used to form squares of side $ r $ cm, and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of $ P $, $ Q $, and $ R $?

Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk.

A rectangle has a length $L$ and a width $W$, where $L>W$. If the width, $W$, is increased by 10%, which one of the following statements is correct for all values of $L$ and $W$?
Select the most appropriate option to complete the above sentence.

A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with $ U \leq 4 $ is:

We __________ tennis in the lawn when it suddenly started to rain.
Select the most appropriate option to complete the above sentence.

Given matrices \[ A = \begin{bmatrix} 1 & -1 & 4 \\ 3 & 2 & -1 \\ 2 & 1 & -1 \end{bmatrix} \quad\text{and}\quad B = \begin{bmatrix} B_{11} & B_{12} & B_{13} \\ B_{21} & B_{22} & B_{23} \\ B_{31} & B_{32} & B_{33} \end{bmatrix} \] $B$ is skew-symmetric matrix of $A$. $B_{13}$ is?

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 and MN form lines of symmetry? (The figure is representative)

In the given figure, PQRS is a parallelogram with $PS = 7~\text{cm}$, $PT = 4~\text{cm}$ and $PV = 5~\text{cm}$. What is the length of $RS$ in cm? (The diagram is representative.)

The coefficient of $x^4$ in the polynomial $(x - 1)^3(x - 2)^3$ is equal to .......................

Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.

The non-linear differential equation from the following options is

The power series expansion of a function is given as \[ \frac{1}{x}\ln(1 + x) = 1 + bx + cx^2 + ..... \] for $0<x \leq 1$. The values of constants $b$ and $c$, respectively, are

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?

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.

To construct a wall, sand and cement are mixed in the ratio 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?

The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sri Lanka needed to adopt structural reforms that focus on economic stabilization and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households.
Based only on the above passage, which one of the following statements can be inferred with certainty?

References : ................. : : Guidelines : Implement
(By word meaning)

“You are delaying the completion of the task. Send ................. contributions at the earliest.”