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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...
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1 1 vote
1 1 answer
522
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GATE Mechanical 2014 Set 1 | GA | Question: 5
What is the next number in the series?$12$ $35$ $81$ $173$ $357$ ____,
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0 0 votes
1 1 answer
224
224 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
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382 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...
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0 0 votes
1 1 answer
443
443 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...
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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
375
375 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$$-1$
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0 0 votes
1 1 answer
324
324 views
GATE Mechanical 2026 | GA | Question: 1
'The team $\_\_\_\_$ more than $300$ runs in $20$ overs $\_\_\_\_$ rains. However, some players needed to improve their batting skills.'Choose the option with the correct...
0 0 votes
2 2 answers
742
742 views
GATE Mechanical 2025 | Question: 16
​​​​​A rigid circular disc of radius $r$ (in $m$ ) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc is $\omega...
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0 0 votes
2 2 answers
719
719 views
GATE Mechanical 2025 | Question: 17
A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?$B D$$B C$$B A$$A D$
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0 0 votes
1 1 answer
1.2k
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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
327
327 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}$
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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...
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0 0 votes
2 2 answers
527
527 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 $\left | p \right |$...
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15 15 votes
6 answers 6 answers
2.1k
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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
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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$$31$
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0 0 votes
1 1 answer
296
296 views
GATE Mechanical 2026 | GA | Question: 8
Consider a string P of length $l$ that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as repres...
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0 0 votes
1 1 answer
459
459 views
GATE Mechanical 2026 | GA | Question: 9
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with ex...
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1 1 answer
211
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GATE Mechanical 2026 | GA | Question: 10
Which one of the patterns labelled $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and $\text{S}$ is used to generate the following figure?$\text{P}$$\text{Q}$$\text{R}$$\text{S}$
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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 ...
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0 0 votes
1 1 answer
176
176 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 ...
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0 0 votes
1 1 answer
268
268 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...
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0 0 votes
1 1 answer
188
188 views
GATE Mechanical 2026 | GA | Question: 3
The next figure (indicated by ' $?$ ' ) in the sequence is
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9 9 votes
4 4 answers
2.9k
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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 $3$ ...
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0 0 votes
0 0 answers
223
223 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$
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139
139 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
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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
188
188 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
98
98 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
95
95 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
196
196 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
104
104 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...
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