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GATE Mechanical 2019 Set 1 | GA Question: 6
Under a certain legal system, prisoners are allowed to make one statement. If their statements turns out to be true then they are hanged. If the statements turns to be false then they are shot. One prisoner made a statement and the judge ... could be that statement? I did not commit the crime I committed the crime I will be shot You committed the crime
Vimalroy
answered
in
Verbal Aptitude
Aug 31
by
Vimalroy
140
points
gateme-2019-set1
verbal-ability
verbal-reasoning
passage-reading
1
answer
0
votes
GATE Mechanical 2022 Set 2 | Question: 28
A linear elastic structure under plane stress condition is subjected to two sets of loading, $\text{I}$ and $\text{II}$. The resulting states of stress at a point corresponding to these two loadings are as shown in the figure below. If these two sets of loading are applied ... $\sigma /2$ $\sigma \left ( 1-1/\sqrt{2} \right )$
ARPAN DUTTA
answered
in
Others
May 7
by
ARPAN DUTTA
140
points
gateme-2022-set2
1
answer
1
vote
GATE Mechanical 2022 Set 1 | GA Question: 5
A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above. Which one of the following is the correct drawing of the view of the $\text{3D}$ object as viewed in the direction indicated by an arrow in the above figure? A. B. C. D.
Lakshman Patel RJIT
answered
in
Spatial Aptitude
Mar 8
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set1
spatial-aptitude
patterns-in-two-dimensions
1
answer
1
vote
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 $3$ AM the next day? $11$ $12$ $144$ $2$
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Mar 2
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set1
quantitative-aptitude
clock-time
1
answer
1
vote
GATE Mechanical 2022 Set 2 | GA Question: 9
Four cities $\text{P, Q, R}$ and $\text{S}$ are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. The boxes beside each city name describe the starting time of first train of the ... required? $6$ hours $30$ minutes $3$ hours $45$ minutes $4$ hours $30$ minutes $5$ hours $15$ minutes
Lakshman Patel RJIT
answered
in
Analytical Aptitude
Mar 1
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set2
analytical-aptitude
logical-reasoning
1
answer
1
vote
GATE Mechanical 2022 Set 2 | GA Question: 10
Equal sized circular regions are shaded in a square sheet of paper of $1$ cm side length. Two cases, case $\text{M}$ and case $\text{N}$, are considered as shown in the figures below. In the case $\text{M}$ ... of case $\text{M}$ to that of case $\text{N}$? $2 : 3$ $1 : 1$ $3 : 2$ $2 : 1$
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Mar 1
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set2
quantitative-aptitude
geometry
circle
squares
area
1
answer
1
vote
GATE Mechanical 2022 Set 2 | GA Question: 4
A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above information? The $2^{\text{nd}}$ February of that year is a Tuesday There will be five Sundays in the ... year The $1^{\text{st}}$ February of that year is a Sunday All Mondays of February in that year have even dates
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Mar 1
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set2
quantitative-aptitude
calendar
1
answer
2
votes
GATE Mechanical 2022 Set 2 | GA Question: 5
Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other? (rotation and translation operations may be used).
Lakshman Patel RJIT
answered
in
Spatial Aptitude
Mar 1
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set2
spatial-aptitude
assembling-pieces
1
answer
1
vote
GATE Mechanical 2022 Set 2 | GA Question: 8
Consider the following for non-zero positive integers, $p$ and $q$. $f\left ( p, q \right ) = \frac{p\times p\times p\times \cdots\: \cdots\: \cdots \times p \:= \:p^{q}}{q\:{terms}}; f\left ( p, 1 \right )=p$ ... $g\left ( 2,1 \right ) \neq f\left ( 2,1 \right )$ $f\left ( 3,2 \right )> g\left ( 3,2 \right )$
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set2
quantitative-aptitude
functions
1
answer
1
vote
GATE Mechanical 2022 Set 2 | GA Question: 7
For the past $m$ days, the average daily production at a company was $100$ units per day. If today’s production of $180$ units changes the average to $110$ units per day, What is the value of $m$? $18$ $10$ $7$ $5$
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set2
quantitative-aptitude
average
1
answer
1
vote
GATE Mechanical 2022 Set 2 | GA Question: 3
If $f\left ( x \right ) = 2 \:\ln \left ( \sqrt{e^{x}} \right )$, what is the area bounded by $f\left ( x \right )$ for the interval $\left [ 0,2 \right ]$ on the $x$ – axis? $\frac{1}{2}$ $1$ $2$ $4$
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set2
quantitative-aptitude
functions
area
1
answer
1
vote
GATE Mechanical 2022 Set 2 | GA Question: 1
Writing too many things on the ___________ while teaching could make the students get _____________. bored / board board / bored board / board bored / bored
Lakshman Patel RJIT
answered
in
Verbal Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set2
verbal-aptitude
most-appropriate-word
1
answer
1
vote
GATE Mechanical 2022 Set 1 | GA Question: 9
Given below are three conclusions drawn based on the following three statements. Statement $1$ : All teachers are professors. Statement $2$ : No professor is a male. Statement $3$ : Some males are engineers. Conclusion $\text{I}$: No ... $\text{III}$ are correct Only conclusion $\text{I}$ and conclusion $\text{III}$ are correct
Lakshman Patel RJIT
answered
in
Analytical Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set1
analytical-aptitude
statements-follow
1
answer
1
vote
GATE Mechanical 2022 Set 1 | GA Question: 8
An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle? $3\sqrt{3} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 4 : 2\sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : 2\sqrt{\pi}$
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set1
quantitative-aptitude
geometry
triangles
1
answer
1
vote
GATE Mechanical 2022 Set 1 | GA Question: 7
A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus? $\dfrac{1}{\sqrt{2}}$ $\dfrac{1}{2\sqrt{2}}$ $\sqrt{2}$ $2 \sqrt{2}$
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set1
quantitative-aptitude
geometry
1
answer
1
vote
GATE Mechanical 2022 Set 1 | GA Question: 4
Four girls $\text{P, Q, R and S}$ are studying languages in a University. $P$ is learning French and Dutch. $Q$ is learning Chinese and Japanese. $R$ is learning Spanish and French. $S$ is learning Dutch and Japanese. Given that: French ... French. Based on the above information, which girl is learning the most difficult pair of languages? $P$ $Q$ $R$ $S$
Lakshman Patel RJIT
answered
in
Analytical Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set1
analytical-aptitude
logical-reasoning
1
answer
1
vote
GATE Mechanical 2022 Set 1 | GA Question: 3
A person travelled $80$ $\text{km}$ in $6$ hours. If the person travelled the first part with a uniform speed of $10$ $\text{kmph}$ and the remaining part with a uniform speed of $18$ $\text{kmph}$. What percentage of the total distance is travelled at a uniform speed of $10$ $\text{kmph}$? $28.25$ $37.25$ $43.75$ $50.00$
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set1
quantitative-aptitude
speed-time-distance
1
answer
1
vote
GATE Mechanical 2022 Set 1 | GA Question: 1
After playing __________ hours of tennis, I am feeling __________________ tired to walk back. too/too too/two two/ two two/too
Lakshman Patel RJIT
answered
in
Verbal Aptitude
Feb 22
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set1
verbal-aptitude
most-appropriate-word
1
answer
1
vote
GATE Mechanical 2022 Set 1 | GA Question: 2
The average of the monthly salaries of $\text{M, N}$ and $S$ is ₹$4000$. The average of the monthly salaries of $\text{N, S}$ and $P$ is ₹$5000$. The monthly salary of $P$ is ₹$6000$. What is the monthly salary of $M$ as a percentage of the monthly salary of $P$? $50\%$ $75\%$ $100\%$ $125\%$
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Feb 19
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set1
quantitative-aptitude
average
percentage
1
answer
1
vote
GATE Mechanical 2022 Set 2 | GA Question: 2
Which one of the following is a representation (not to scale and in bold) of all values of $x$ satisfying the inequality $2 - 5x \leq - \dfrac{6x - 5}{3}$ on the real number line? A. B. C. D.
Lakshman Patel RJIT
answered
in
Quantitative Aptitude
Feb 19
by
Lakshman Patel RJIT
6.9k
points
gateme-2022-set2
quantitative-aptitude
inequality
0
answers
0
votes
GATE Mechanical 2022 Set 2 | GA Question: 6
Fish belonging to species $S$ in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily attack their prey. However, having this extra layer of black ... to species $S$ Having ultra-black skin is only disadvantageous to species $S$ but advantageous only to their predators
Arjun
asked
in
Analytical Aptitude
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
analytical-aptitude
logical-reasoning
passage-reading
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 1
$F(t)$ is a periodic square wave function as shown. It takes only two values, $4$ and $0$, and stays at each of these values for $1$ second before changing. What is the constant term in the Fourier series expansion of $F(t)$? $1$ $2$ $3$ $4$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 2
Consider a cube of unit edge length and sides parallel to co-ordinate axes, with its centroid at the point $(1, 2, 3)$. The surface integral $\int _{A} \vec{F}.d\vec{A}$ of a vector field $\vec{F} = 3x\hat{i} + 5y\hat{j} + 6z\hat{k}$ over the entire surface $A$ of the cube is _____________. $14$ $27$ $28$ $31$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 3
Consider the definite integral $\int_{1}^{2} \left ( 4x^{2} + 2x + 6 \right )dx.$ Let $I_{e}$ be the exact value of the integral. If the same integral is estimated using Simpson's rule with $10$ equal subintervals, the value is $I_{S}$. The percentage error is defined ... $e$ is $2.5$ $3.5$ $1.2$ $0$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 4
Given $\int_{-\infty }^{\infty } e^{-x^{2}} dx = \sqrt{\pi }.$ If $a$ and $b$ are positive integers, the value of $\int_{-\infty }^{\infty } e^{-a\left ( x+b \right )^{2}} dx$ is _______________. $\sqrt{\pi a}$ $\sqrt{\frac{\pi }{a}}$ $b\sqrt{\pi a}$ $b\sqrt{\frac{\pi }{a}}$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 5
A polynomial $\varphi \left ( s \right ) = a_{n}s^{n} + a_{n-1}s^{n-1} + \cdots + a_{1}s+a_{0}$ of degree $n>3$ with constant real coefficients $a_{n}, a_{n-1}, \:\dots a_{0}$ has triple roots at $s = -\sigma$. Which one of the following ... $\frac{d^{3}\varphi \left ( s \right )}{ds^{3}} = 0$ at $s = -\sigma$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 6
Which one of the following is the definition of ultimate tensile strength $\text{(UTS)}$ obtained from a stress-strain test on a metal specimen? Stress value where the stress-strain curve transitions from elastic ... -sectional area The maximum load attained divided by the corresponding instantaneous cross-sectional area Stress where the specimen fractures
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 7
A massive uniform rigid circular disc is mounted on a frictionless bearing at the end $E$ of a massive uniform rigid shaft $\text{AE}$ which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings ... about the positive $y$-axis direction rotate slowly (compared to $\omega$) about the negative $y$-axis direction
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 8
A structural member under loading has a uniform state of plane stress which is usual notations is given by $\sigma _{x} = 3P, \sigma _{y} = -2P$ and $\tau_{xy} = \sqrt{2}P$, where $P>0$. The yield strength of the material is $350$ ... maximum distortion energy theory) is $70$ $\text{MPa}$ $90$ $\text{MPa}$ $120$ $\text{MPa}$ $75$ $\text{MPa}$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 9
Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical binary alloy of components $A$ and $B$ is shown in the figure with its eutectic composition and temperature. All the lines in this phase diagram, ... the solidification range is $400^{\circ}C$ $250^{\circ}C$ $800^{\circ}C$ $150^{\circ}C$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 10
A shaft of diameter $25_{-0.07}^{-0.04}$ $\text{mm}$ is assembled in a hole of diameter $25_{-0.00}^{+0.02}$ $\text{mm}$. Match the allowance and limit parameter in Column $\text{I}$ with its corresponding quantitative value in Column $\text{II}$ for this shaft-hole assembly. Allowance ... $P -1, Q -3, R -2$ $P -1, Q -3 R -4$ $P -3, Q -1, R -2$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 11
Match the additive manufacturing technique in Column $\text{I}$ with its corresponding input material in Column $\text{II}$. Additive manufacturing technique (Column $\text{I}$) Input material (Column $\text{II}$) $P$ Fused deposition modelling $1$ Photo sensitive liquid resin $Q$ Laminated object ... $P -2, Q -3, R -1$ $P -4, Q -1, R -4$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 12
Which one of the following $\text{CANNOT}$ impart linear motion in a $\text{CNC}$ machine? Linear motor Ball screw Lead screw Chain and sprocket
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 13
Which one of the following is an intensive property of a thermodynamic system? Mass Density Energy Volume
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 14
Consider a steady flow through a horizontal divergent channel, as shown in the figure, with supersonic flow at the inlet. The direction of flow is from left to right. Pressure at location $B$ is observed to be higher than that at an ... flow rate is constant, velocity at $B$ is lower than velocity at $A$ Normal shock Viscous effect Boundary layer separation
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 15
Which of the following non-dimensional terms is an estimate of Nusselt number? Ratio of internal thermal resistance of a solid to the boundary layer thermal resistance Ratio of the rate at which internal energy is ... to the rate of conduction heat transfer Non-dimensional temperature gradient Non-dimensional velocity gradient multiplied by Prandtl number
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 16
A square plate is supported in four different ways (configurations $(P)$ to $(S)$ as shown in the figure). A couple moment $C$ is applied on the plate. Assume all the members to be rigid and mass-less, and all joints to ... one or more of the following support configurations? Configuration $(P)$ Configuration $(Q)$ Configuration $(R)$ Configuration $(S)$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
multiple-selects
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 17
Consider sand casting of a cube of edge length $a$. A cylindrical riser is placed at the top of the casting. Assume solidification time, $t_{s} \:\alpha\: V/A$, where $V$ is the volume and $A$ is the total surface area dissipating heat. If the top of the ... /radii of riser is/are acceptable? $\dfrac{a}{3}$ $\dfrac{a}{2}$ $\dfrac{a}{4}$ $\dfrac{a}{6}$
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
multiple-selects
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 18
Which of these processes involve$(s)$ melting in metallic workpieces? Electrochemical machining Electric discharge machining Laser beam machining Electron beam machining
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
multiple-selects
0
answers
0
votes
GATE Mechanical 2022 Set 2 | Question: 19
The velocity field in a fluid is given to be $\vec{V} = \left ( 4xy \right )\hat{i} + 2\left ( x^{2} - y^{2} \right )\hat{j}$. Which of the following statement$(s)$ is/are correct? The velocity field is one-dimensional. The flow is incompressible. The flow is irrotational. The acceleration experienced by a fluid particle is zero at $(x = 0,y = 0)$.
Arjun
asked
in
Others
Feb 15
by
Arjun
27.4k
points
gateme-2022-set2
multiple-selects
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