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GATE Mechanical 2022 Set 2 | Question: 31
Parts $P1 - P7$ are machined first on a milling machine and then polished at a separate machine. Using the information in the following table, the minimum total completion time required tor carrying out both the operations for all $7$ ... $31$ $33$ $30$ $32$
Parts $P1 – P7$ are machined first on a milling machine and then polished at a separate machine. Using the information in the following table, the minimum total complet...
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GATE Mechanical 2022 Set 2 | Question: 32
A manufacturing unit produces two products $P1$ and $P2$. For each piece of $P1$ and $P2$, the table below provides quantities of materials $\text{M1, M2}$ and $M3$ ... $5000$ $4000$ $3000$ $6000$
A manufacturing unit produces two products $P1$ and $P2$. For each piece of $P1$ and $P2$, the table below provides quantities of materials $\text{M1, M2}$ and $M3$ requi...
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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 $\left | p \right |$ is ______________ (in integer).
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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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...
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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
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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...
1 answers
1 votes
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
​​​​​​Given below are three conclusions drawn based on the following three statements.Statement $1$ : All teachers are professors.Statement $2$ : No professor...
1 answers
2 votes
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? $11$ $12$ $144$ $2$
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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GATE Mechanical 2022 Set 1 | Question: 4
The Fourier series expansion of $x^{3}$ in the interval $-1 \leq x < 1$ with periodic continuation has only sine terms only cosine terms both sine and cosine terms only sine terms and a non – zero constant
The Fourier series expansion of $x^{3}$ in the interval $-1 \leq x < 1$ with periodic continuation hasonly sine termsonly cosine termsboth sine and cosine termsonly sine ...
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GATE Mechanical 2022 Set 1 | Question: 5
If $A = \begin{bmatrix} 10 & 2k +5 \\ 3k - 3 & k +5 \end{bmatrix}$ is a symmetric matrix, the value of $k$ is __________________. $8$ $5$ $-0.4$ $\frac{1 + \sqrt{1561}}{12}$
If $A = \begin{bmatrix} 10 & 2k +5 \\ 3k - 3 & k +5 \end{bmatrix}$ is a symmetric matrix, the value of $k$ is __________________.$8$$5$$-0.4$$\frac{1 + \sqrt{1561}}{12}$...
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