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GATE Mechanical 2023 | GA Question: 5
The symbols $\bigcirc, \ast , \bigtriangleup$, and $\square$ are to be filled, one in each box, as shown below. The rules for filling in the four symbols are as follows. Every row and every column must contain each of the four symbols. ... will occupy the box marked with '?' in the partially filled figure? $\bigcirc$ $\ast$ $\bigtriangleup$ $\square$
The symbols $\bigcirc, \ast , \bigtriangleup$, and $\square$ are to be filled, one in each box, as shown below.The rules for filling in the four symbols are as follows.Ev...
2 answers
3 votes
GATE Mechanical 2023 | GA Question: 9
How many pairs of sets $\text{(S, T)}$ are possible among the subsets of $\{1,2,3,4,5,6\}$ that satisfy the condition that $\mathrm{S}$ is a subset of $\mathrm{T}?$ $729$ $728$ $665$ $664$
How many pairs of sets $\text{(S, T)}$ are possible among the subsets of $\{1,2,3,4,5,6\}$ that satisfy the condition that $\mathrm{S}$ is a subset of $\mathrm{T}?$ $729$...
2 answers
1 votes
GATE Mechanical 2021 Set 2 | GA Question: 8
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ___________$\frac{1}{8}$$\frac{1}{6}$$\frac{1}{4}$$\fr...
2 answers
2 votes
GATE Mechanical 2021 Set 2 | GA Question: 9
Consider a square sheet of side $1$ unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, ... units, equal to _________ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$ $\frac{1}{32}$
Consider a square sheet of side $1$ unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded s...
2 answers
1 votes
GATE Mechanical 2020 Set 2 | GA Question: 4
In one of the greatest innings ever seen in $142$ years of Test history, Ben Stokes upped the tempo in a five-and-a-half hour long stay of $219$ balls including $11$ fours and $8$ sixes that saw him finish on a $135$ ... given passage, which one of the following meanings DOES NOT match? upped = increased squared = lost tempo = enthusiasm saw = resulted in
In one of the greatest innings ever seen in $142$ years of Test history, Ben Stokes upped the tempo in a five-and-a-half hour long stay of $219$ balls including $11$ four...
2 answers
1 votes
GATE Mechanical 2019 Set 2 | GA Question: 1
Once the team of analysis identify the problem, we ____ in a better position to comment on the issue. Which of the following choices CANNOT fill the given blank? will be were to be are going to be might be
Once the team of analysis identify the problem, we ____ in a better position to comment on the issue.Which of the following choices CANNOT fill the given blank?will bewer...
2 answers
0 votes
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
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 fa...
2 answers
0 votes
GATE Mechanical 2018 Set 2 | GA Question: 1
"The dress ______ her so well that they all immediately _______ her on her appearance." The words that best fill the blanks in the above sentence are complemented, complemented complimented, complemented complimented, complimented complemented, complimented
"The dress ______ her so well that they all immediately _______ her on her appearance."The words that best fill the blanks in the above sentence arecomplemented, compleme...
2 answers
0 votes
GATE2018-2-25
A ball is dropped from rest from a height of $1 \: m$ in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring the curved portion), the total distance travelled (in $m$) by the ball is _____ (correct to two decimal places)
A ball is dropped from rest from a height of $1 \: m$ in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring t...
1 answers
1 votes
GATE Mechanical 2024 | GA Question: 2
​​​Find the odd one out in the set: $\{19,37,21,17,23,29,31,11\}$ $21$ $29$ $37$ $23$
​​​Find the odd one out in the set: $\{19,37,21,17,23,29,31,11\}$$21$$29$$37$$23$
1 answers
3 votes
GATE Mechanical 2023 | GA Question: 1
He did not manage to fix the car himself, so he ________ in the garage. got it fixed getting it fixed gets fixed got fixed
He did not manage to fix the car himself, so he ________ in the garage.got it fixedgetting it fixedgets fixedgot fixed
1 answers
0 votes
GATE Mechanical 2023 | GA Question: 2
Planting : Seed: : Raising: _________ (By word meaning) Child Temperature Height Lift
Planting : Seed: : Raising: _________(By word meaning)ChildTemperatureHeightLift
1 answers
2 votes
GATE Mechanical 2023 | GA Question: 3
A certain country has $504$ universities and $25951$ colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III? $22.7$ $23.7$ $15.0$ $66.8$
A certain country has $504$ universities and $25951$ colleges. These are categorised into Grades I, II, and III as shown in the given pie charts.What is the percentage, c...
1 answers
2 votes
GATE Mechanical 2023 | GA Question: 4
The minute-hand and second-hand of a clock cross each other ___________ times between $09:15:00$ AM and $09:45:00$ AM on a day. $30$ $15$ $29$ $31$
The minute-hand and second-hand of a clock cross each other ___________ times between $09:15:00$ AM and $09:45:00$ AM on a day.$30$$15$$29$$31$
1 answers
2 votes
GATE Mechanical 2023 | GA Question: 6
In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi's friends at school were hardworking and kind too. But the ... and kind. None of Ravi's friends are interested in sports. Some of Ravi's friends are hardworking and kind.
In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all o...
1 answers
2 votes
GATE Mechanical 2023 | GA Question: 10
An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any ... $\mathbf{S}$ is NOT possible? $\mathbf{P}$ $\mathbf{Q}$ $\mathbf{R}$ $\mathbf{S}$
An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen or...
1 answers
0 votes
GATE Mechanical 2023 | Question: 1
A machine produces a defective component with a probability of $0.015$. The number of defective components in a packed box containing $200$ components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are $3$ ... $\sqrt{3}$, respectively $0.015$ and $0.015$, respectively $3$ and $9$, respectively
A machine produces a defective component with a probability of $0.015$. The number of defective components in a packed box containing $200$ components produced by the mac...
1 answers
0 votes
GATE Mechanical 2023 | Question: 6
The effective stiffness of a cantilever beam of length $L$ and flexural rigidity $E I$ subjected to a transverse tip load $\mathrm{W}$ is $\frac{3 E I}{L^{3}}$ $\frac{2 E I}{L^{3}}$ $\frac{L^{3}}{2 E I}$ $\frac{L^{3}}{3 E I}$
The effective stiffness of a cantilever beam of length $L$ and flexural rigidity $E I$ subjected to a transverse tip load $\mathrm{W}$ is$\frac{3 E I}{L^{3}}$$\frac{2 E I...
1 answers
0 votes
GATE Mechanical 2023 | Question: 8
The $\text{S-N}$ curve from a fatigue test for steel is shown. Which one of the options gives the endurance limit? $S_{u t}$ $S_2$ $S_3$ $S_4$
The $\text{S-N}$ curve from a fatigue test for steel is shown. Which one of the options gives the endurance limit? $S_{u t}$$S_2$$S_3$$S_4$
1 answers
0 votes
GATE Mechanical 2023 | Question: 38
The smallest perimeter that a rectangle with area of $4$ square units can have is __________ units. (Answer in integer)
The smallest perimeter that a rectangle with area of $4$ square units can have is __________ units. (Answer in integer)
1 answers
–1 votes
GATE Mechanical 2023 | Question: 42
A steel sample with $1.5 \; \mathrm{wt}. \%$ carbon (no other alloying elements present) is slowly cooled from $1100^{\circ} \mathrm{C}$ ... the total cementite content in the microstructure that develops just below the eutectoid temperature is ___________. (Rounded off to two decimal places)
A steel sample with $1.5 \; \mathrm{wt}. \%$ carbon (no other alloying elements present) is slowly cooled from $1100^{\circ} \mathrm{C}$ to just below the eutectoid tempe...
1 answers
1 votes
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
Writing too many things on the ___________ while teaching could make the students get _____________.bored / boardboard / boredboard / boardbored / bored
1 answers
1 votes
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.
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 num...
1 answers
1 votes
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? $\frac{1}{2}$ $1$ $2$ $4$
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 $x$ –...
1 answers
1 votes
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
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 $2^{\text{nd}}$...
1 answers
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).
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 tr...
1 answers
1 votes
GATE Mechanical 2022 Set 2 | GA Question: 6
Fish belonging to species $\text{S}$ 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 ... $\text{S}$ but advantageous only to their predators
Fish belonging to species $\text{S}$ in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily...
1 answers
1 votes
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 $m$? $18$ $10$ $7$ $5$
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...
1 answers
1 votes
GATE Mechanical 2022 Set 2 | GA Question: 8
Consider the following for non-zero positive integers, $p$ and $q$. $f\left ( p, q \right ) = \frac{p\times p\times p\times \cdots\: \cdots\: \cdots \times p \:= \:p^{q}}{q\:{terms}}; f\left ( p, 1 \right )=p$ ... $g\left ( 2,1 \right ) \neq f\left ( 2,1 \right )$ $f\left ( 3,2 \right )> g\left ( 3,2 \right )$
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}}{...
1 answers
1 votes
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
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...
1 answers
1 votes
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 $\text{N}$? $2 : 3$ $1 : 1$ $3 : 2$ $2 : 1$
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 f...
1 answers
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 ... $\sigma /2$ $\sigma \left ( 1-1/\sqrt{2} \right )$
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 corresp...
1 answers
2 votes
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
After playing __________ hours of tennis, I am feeling __________________ tired to walk back.too/tootoo/twotwo/ twotwo/too
1 answers
1 votes
GATE Mechanical 2022 Set 1 | GA Question: 2
The average of the monthly salaries of $\text{M, N}$ and $\text{S}$ is ₹$4000$. The average of the monthly salaries of $\text{N, S}$ and $\text{P}$ is ₹$5000$. The monthly salary of $\text{P}$ is ₹$6000$. What is the monthly salary of $\text{M}$ as a percentage of the monthly salary of $\text{P}?$ $50\%$ $75\%$ $100\%$ $125\%$
The average of the monthly salaries of $\text{M, N}$ and $\text{S}$ is ₹$4000$. The average of the monthly salaries of $\text{N, S}$ and $\text{P}$ is ₹$5000$. The mo...
1 answers
1 votes
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 $10$ $\text{kmph}$? $28.25$ $37.25$ $43.75$ $50.00$
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 ...
1 answers
2 votes
GATE Mechanical 2022 Set 1 | GA Question: 4
Four girls $\text{P, Q, R and S}$ are studying languages in a University. $\text{P}$ is learning French and Dutch. $\text{Q}$ is learning Chinese and Japanese. $\text{R}$ is learning Spanish and French. $\text{S}$ is learning Dutch and Japanese ... , which girl is learning the most difficult pair of languages? $\text{P}$ $\text{Q}$ $\text{R}$ $\text{S}$
Four girls $\text{P, Q, R and S}$ are studying languages in a University. $\text{P}$ is learning French and Dutch. $\text{Q}$ is learning Chinese and Japanese. $\text{R}$...
1 answers
1 votes
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 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 vie...
1 answers
1 votes
GATE Mechanical 2022 Set 1 | GA Question: 6
Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear "lost", it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets ... are more likely to be returned than wallets that are really lost Money is always more important than keys
Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear "lost", it was found that wallets with money are more likely to b...
1 answers
1 votes
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? $\dfrac{1}{\sqrt{2}}$ $\dfrac{1}{2\sqrt{2}}$ $\sqrt{2}$ $2 \sqrt{2}$
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}{...
1 answers
1 votes
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? $3\sqrt{3} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 4 : 2\sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : 2\sqrt{\pi}$
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...
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