Register

Recent questions and answers

9 9 votes
3 answers 3 answers
1.3k
1.3k views
GATE Mechanical 2021 Set 1 | GA | Question: 10
Five persons $\text{P, Q, R, S and T}$ are sitting in a row not necessarily in the same order. $Q$ and $R$ are separated by one person, and $S$ should not be seated adjac...
User Avatar
1 1 vote
1 1 answer
522
522 views
GATE Mechanical 2014 Set 1 | GA | Question: 5
What is the next number in the series?$12$ $35$ $81$ $173$ $357$ ____,
User Avatar
0 0 votes
1 1 answer
226
226 views
GATE Mechanical 2026 | Question: 29
A student council of $10$ members consists of two students from engineering school, three students from science school and five students from arts school. The university ...
0 0 votes
1 1 answer
385
385 views
GATE Mechanical 2014 Set 2 | GA | Question: 9
The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported a...
User Avatar
0 0 votes
1 1 answer
446
446 views
GATE Mechanical 2014 Set 3 | GA | Question: 9
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportati...
User Avatar
2 2 votes
1 1 answer
281
281 views
GATE Mechanical 2026 | Question: 31
Two structural members are connected by a hinge and they are externally loaded as shown in the figure below. A and B are roller supports, and C is a pin support. Neglecti...
0 0 votes
1 1 answer
376
376 views
GATE Mechanical 2015 Set 2 | GA | Question: 9
$\log \tan 1^{\circ} + \log \tan 2^{\circ} + \dots + \log \tan 89^{\circ}$ is$1$$1/\sqrt{2}$$0$$-1$
User Avatar
0 0 votes
1 1 answer
326
326 views
GATE Mechanical 2026 | GA | Question: 1
'The team $\_\_\_\_$ more than $300$ runs in $20$ overs $\_\_\_\_$ rains. However, some players needed to improve their batting skills.'Choose the option with the correct...
0 0 votes
2 2 answers
744
744 views
GATE Mechanical 2025 | Question: 16
​​​​​A rigid circular disc of radius $r$ (in $m$ ) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc is $\omega...
User Avatar
0 0 votes
2 2 answers
723
723 views
GATE Mechanical 2025 | Question: 17
A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?$B D$$B C$$B A$$A D$
User Avatar
0 0 votes
1 1 answer
1.2k
1.2k views
GATE Mechanical 2025 | Question: 6
Consider two identical tanks with a bottom hole of diameter $d$. One tank is filled with water and the other tank is filled with engine oil. The height of the fluid colum...
1 1 vote
3 3 answers
328
328 views
GATE Mechanical 2026 | GA | Question: 2
If a positive real $x$ satisfies the following equation\[\log _{2} x+\log _{\sqrt{2}} x=48,\]then the value of $x$ is $\_\_\_\_$$2^{16}$$4^{16}$$2^{14}$$4^{14}$
User Avatar
0 0 votes
1 1 answer
574
574 views
GATE ME 2012 | Question: 36
For the matrix $A = \begin{bmatrix} 5 & 3 \\ 1 & 3 \end{bmatrix}$, ONE of the normalized eigen vectors is given as$\begin{pmatrix} \dfrac{1}{2} \\ \dfrac{\sqrt{3}}{2} \en...
User Avatar
0 0 votes
2 2 answers
532
532 views
GATE Mechanical 2022 Set 2 | Question: 38
If the sum and product of eigenvalues of a $2 \times 2$ real matrix $\begin{bmatrix} 3 & p\\ p & q \end{bmatrix}$ are $4$ and $-1$ respectively, then $\left | p \right |$...
User Avatar
15 15 votes
6 answers 6 answers
2.1k
2.1k views
GATE Mechanical 2019 Set 2 | GA | Question: 7
Two pipes $P$ and $Q$ can fill a tank in $6$ hours and $9$ hours respectively, while a third pipe $R$ can empty the tank in $12$ hours. Initially, $P$ and $R$ are open f...
8 8 votes
3 3 answers
4.5k
4.5k views
GATE Mechanical 2023 | GA | Question: 4
The minute-hand and second-hand of a clock cross each other ___________ times between $09:15:00$ AM and $09:45:00$ AM on a day.$30$$15$$29$$31$
User Avatar
0 0 votes
1 1 answer
297
297 views
GATE Mechanical 2026 | GA | Question: 8
Consider a string P of length $l$ that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as repres...
User Avatar
0 0 votes
1 1 answer
460
460 views
GATE Mechanical 2026 | GA | Question: 9
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with ex...
User Avatar
0 0 votes
1 1 answer
211
211 views
GATE Mechanical 2026 | GA | Question: 10
Which one of the patterns labelled $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and $\text{S}$ is used to generate the following figure?$\text{P}$$\text{Q}$$\text{R}$$\text{S}$
User Avatar
0 0 votes
1 1 answer
244
244 views
GATE Mechanical 2026 | GA | Question: 7
The table lists the unit selling price of five products $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}$, and $\text{T}$. On a particular day, $250$ items were sold with ...
User Avatar
0 0 votes
1 1 answer
178
178 views
GATE Mechanical 2026 | GA | Question: 6
'People are crowding around $\_\_\_\_$ pit into which $\_\_\_\_$ elephant has fallen. I have never seen an elephant looking more bewildered $\_\_\_\_$ miserable. Here it ...
User Avatar
0 0 votes
1 1 answer
270
270 views
GATE Mechanical 2026 | GA | Question: 4
'All the mangoes in the basket are good.'If the above statement is false, then which one of the following statements is necessarily true?All the mangoes in the basket are...
User Avatar
0 0 votes
1 1 answer
189
189 views
GATE Mechanical 2026 | GA | Question: 3
The next figure (indicated by ' $?$ ' ) in the sequence is
User Avatar
9 9 votes
4 4 answers
2.9k
2.9k views
GATE Mechanical 2022 Set 1 | GA | Question: 10
In a $12$-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a $12$-hour duration from $3$ PM in a day to $3$ ...
User Avatar
0 0 votes
0 0 answers
224
224 views
GATE Mechanical 2026 | GA | Question: 5
Consider the following statements about four numbers:(S$1$) The average of the four numbers is $25$(S$2$) Each number is at most $40$(S$3$) Each number is at least $20$Ch...
0 0 votes
0 0 answers
138
138 views
GATE Mechanical 2026 | Question: 1
Domain $A$ is bounded by curve $x^{2}=4 y$, ordinate $x=2$, and $x$ axis.The value of $\iint_{A} y d x d y$ is$1 / 5$$1 / 3$$5 / 12$$1 / 2$
0 0 votes
0 0 answers
140
140 views
GATE Mechanical 2026 | Question: 2
Let $\varphi$ be a scalar function. Then, $\nabla \varphi$ isalways perpendicular to the surface of constant $\varphi$always parallel to the surface of constant $\varphi$...
0 0 votes
0 0 answers
117
117 views
GATE Mechanical 2026 | Question: 3
The order and degree of the following differential equation are $m$ and $n$, respectively.\[\frac{\partial^{3} \varphi}{\partial x^{3}}+\frac{\partial^{2} \varphi}{\parti...
0 0 votes
0 0 answers
145
145 views
GATE Mechanical 2026 | Question: 4
Newton-Raphson method for solving algebraic equations is based onTaylor seriesFourier seriesLaurent seriesPower series
0 0 votes
0 0 answers
186
186 views
GATE Mechanical 2026 | Question: 5
The exact solution of $\int_{0}^{4} \frac{d x}{1+x}$ is represented as $n$.If $m$ represents numerically evaluated value of the above integral using Trapezoidal rule by c...
1 1 vote
0 0 answers
189
189 views
GATE Mechanical 2026 | Question: 6
A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular veloci...
0 0 votes
0 0 answers
147
147 views
GATE Mechanical 2026 | Question: 7
A gear train with five gears is shown in the figure below. The number of teeth on each gear is $\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}, \mathrm{~N}_{4}$, and $\...
0 0 votes
0 0 answers
124
124 views
GATE Mechanical 2026 | Question: 8
In a single degree of freedom vibrating system with only viscous damping, the critical damping coefficient is $350 \mathrm{~N} \mathrm{~s} / \mathrm{m}$ and the damping c...
0 0 votes
0 0 answers
197
197 views
GATE Mechanical 2026 | Question: 9
A closely coiled helical compression spring of mean coil diameter $D$ and wire diameter $d$, is loaded by an axial force $F$.The maximum shear stress developed in the wir...
0 0 votes
0 0 answers
99
99 views
GATE Mechanical 2026 | Question: 10
The rotor of an aeroplane engine has a mass moment of inertia $1.0 \mathrm{~kg} \mathrm{~m}^{2}$. The engine rotates at a speed of $500$ RPM in the clockwise direction if...
0 0 votes
0 0 answers
150
150 views
GATE Mechanical 2026 | Question: 11
A rectangular plate is perfectly welded to a gusset plate with parallel fillet weld joints as shown in the figure below. The length of the weld is $l$ and the fillet weld...
0 0 votes
0 0 answers
96
96 views
GATE Mechanical 2026 | Question: 12
Worm gearsets are used for transmitting rotary motion betweennon-parallel and non-intersecting shaftsintersecting shaftsparallel shaftsnon-parallel and intersecting shaft...
0 0 votes
0 0 answers
192
192 views
GATE Mechanical 2026 | Question: 13
For an ideal gas, starting from state point $1$, two different processes take place. The corresponding final states in these two processes are $2$ and $3$, lying on same ...
1 1 vote
0 0 answers
197
197 views
GATE Mechanical 2026 | Question: 14
A steady incompressible laminar flow passes through a $90^{\circ}$ tube bend placed on a horizontal surface. In horizontal diametric plane, two pressure taps $P_{i}$ and ...
0 0 votes
0 0 answers
105
105 views
GATE Mechanical 2026 | Question: 15
An ideal gas passes isothermally through a long horizontal uniform cross-section pipe under steady flow. Consider that the pressure gradient in the pipe is sufficient for...
To see more, click for the full list of questions or popular tags.