Answers by Lakshman Patel RJIT

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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.

answered in Spatial Aptitude Mar 8, 2022

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? $11$ $12$ $144$ $2$

answered in Quantitative Aptitude Mar 2, 2022

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

answered in Analytical Aptitude Mar 1, 2022

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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 $\text{N}$? $2 : 3$ $1 : 1$ $3 : 2$ $2 : 1$

answered in Quantitative Aptitude Mar 1, 2022

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

answered in Quantitative Aptitude Mar 1, 2022

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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).

answered in Spatial Aptitude Mar 1, 2022

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GATE Mechanical 2022 Set 2 | GA Question: 8
Consider the following for non-zero positive integers, $p$ and $q$. $f\left ( p, q \right ) = \frac{p\times p\times p\times \cdots\: \cdots\: \cdots \times p \:= \:p^{q}}{q\:{terms}}; f\left ( p, 1 \right )=p$ ... $g\left ( 2,1 \right ) \neq f\left ( 2,1 \right )$ $f\left ( 3,2 \right )> g\left ( 3,2 \right )$

answered in Quantitative Aptitude Feb 22, 2022

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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 $m$? $18$ $10$ $7$ $5$

answered in Quantitative Aptitude Feb 22, 2022

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? $\frac{1}{2}$ $1$ $2$ $4$

answered in Quantitative Aptitude Feb 22, 2022

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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

answered in Verbal Aptitude Feb 22, 2022

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

answered in Analytical Aptitude Feb 22, 2022

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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? $3\sqrt{3} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 4 : 2\sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : 2\sqrt{\pi}$

answered in Quantitative Aptitude Feb 22, 2022

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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? $\dfrac{1}{\sqrt{2}}$ $\dfrac{1}{2\sqrt{2}}$ $\sqrt{2}$ $2 \sqrt{2}$

answered in Quantitative Aptitude Feb 22, 2022

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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? $P$ $Q$ $R$ $S$

answered in Analytical Aptitude Feb 22, 2022

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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 $10$ $\text{kmph}$? $28.25$ $37.25$ $43.75$ $50.00$

answered in Quantitative Aptitude Feb 22, 2022

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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

answered in Verbal Aptitude Feb 22, 2022

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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 $P$? $50\%$ $75\%$ $100\%$ $125\%$

answered in Quantitative Aptitude Feb 19, 2022

–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.

answered in Quantitative Aptitude Feb 19, 2022

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GATE Mechanical 2021 Set 2 | GA Question: 10
The world is going through the worst pandemic in the past hundred years. The air travel industry is facing a crisis, as the resulting quarantine requirement for travelers led to weak demand. In relation to the first ... Second sentence entirely contradicts the first sentence The two statements are unrelated States an effect of the first sentence

answered in Verbal Aptitude Apr 18, 2021

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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 _________ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$ $\frac{1}{32}$

answered in Spatial Aptitude Apr 18, 2021

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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 ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$

answered in Quantitative Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 2 | GA Question: 7
A box contains $15$ blue balls and $45$ black balls. If $2$ balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is _____ $\frac{3}{16}$ $\frac{45}{236}$ $\frac{1}{4}$ $\frac{3}{4}$

answered in Quantitative Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 2 | GA Question: 6
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$. $\text{Statement 1}:$ All entrepreneurs are wealthy. $\text{Statement 2}:$ All wealthy are risk seekers. $\text{Conclusion I}:$ All risk seekers ... Neither conclusion $\text{I}$ nor $\text{II}$ is correct Both conclusions $\text{I}$ and $\text{II}$ are correct

answered in Analytical Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 2 | GA Question: 5
The front door of $\text{Mr. X's}$ house faces East. $\text{Mr. X}$ leaves the house, walking $\text{50 m}$ straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for ... the point $\text{Mr. X}$ is now located at with respect to the starting point is ____ South-East North-East West North-West

answered in Analytical Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 2 | GA Question: 4
If $\bigoplus \div \bigodot =2;\: \bigoplus \div\Delta =3;\:\bigodot +\Delta =5; \:\Delta \times \bigotimes =10$, Then, the value of $\left ( \bigotimes - \bigoplus \right )^{2}$, is : $0$ $1$ $4$ $16$

answered in Analytical Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 2 | GA Question: 3
A digital watch $\text{X}$ beeps every $30$ seconds while watch $\text{Y}$ beeps every $32$ seconds. They beeped together at $\text{10 AM}$. The immediate next time that they will beep together is ____ $\text{10.08 AM}$ $\text{10.42 AM}$ $\text{11.00 AM}$ $\text{10.00 PM}$

answered in Quantitative Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 2 | GA Question: 2
Consider the following sentences: The number of candidates who appear for the $\text{GATE}$ examination is staggering. A number of candidates from my class are appearing for the $\text{GATE}$ examination. The number of candidates who appear for the $\text{GATE}$ examination are ... $\text{(i) and (iii)}$ $\text{(ii) and (iii)}$ $\text{(ii) and (iv)}$

answered in Verbal Aptitude Apr 18, 2021

1 vote

GATE Mechanical 2021 Set 2 | GA Question: 1
Five persons $\text{P, Q, R, S}$ and $\text{T}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{T}$ ... at the second position from the left end of the row. The number of distinct seating arrangements possible is: $2$ $3$ $4$ $5$

answered in Quantitative Aptitude Apr 18, 2021

0 votes

GATE Mechanical 2021 Set 1 | GA Question: 9
... number of management degree holders among the executives in companies $\textsf{C2}$ and $\textsf{C5}$ together is ________. $225$ $600$ $1900$ $2500$

answered in Quantitative Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 1 | GA Question: 8
The number of hens, ducks and goats in farm $P$ are $65,91$ and $169,$ respectively. The total number of hens, ducks and goats in a nearby farm $Q$ is $416.$ The ratio of hens : ducks : goats in farm $Q$ is $5:14:13.$ All the hens, ducks and goats ... $P$ is ________ $5:7:13$ $5:14:13$ $10:21:26$ $21:10:26$

answered in Quantitative Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 1 | GA Question: 7
A jigsaw puzzle has $2$ pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

answered in Spatial Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 1 | GA Question: 6
Oxpeckers and rhinos manifest a symbiotic relationship in the wild. The oxpeckers warn the rhinos about approaching poachers, thus possibly saving the lives of the rhinos. Oxpeckers also feed on the parasitic ticks found on rhinos. In the ... source, rhinos may be saved from the poachers Oxpeckers save the lives of poachers, rhinos save their own lives

answered in Verbal Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 1 | GA Question: 5
The increased consumption of leafy vegetables in the recent months is a clear indication that the people in the state have begun to lead a healthy lifestyle Which of the following can be logically inferred from the information ... leafy vegetables The people in the state have increased awareness of healthy hazards causing by consumption of junk foods

answered in Verbal Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 1 | GA Question: 4
If $\left\{\begin{matrix} “ \oplus” \; \text{means}\; “-” \\ “ \otimes” \; \text{means}\; “\div” \\ “ \triangle” \; \text{means}\; “+” \\ “ \triangledown” \; \text{means}\; “\times” \end{matrix}\right.$ then, the value of the expression $\triangle 2 \oplus 3 \triangle \left((4 \otimes 2) \triangledown 4) \right) = $ $-1$ $-0.5$ $6$ $7$

answered in Analytical Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 1 | GA Question: 3
In the above figure, $\textsf{O}$ is the center of the circle and, $\textsf{M}$ and $\textsf{N}$ lie on the circle. The area of the right triangle $\textsf{MON}$ is $50\;\text{cm}^{2}$. What is the area of the circle in $\text{cm}^{2}?$ $2\pi$ $50\pi$ $75\pi$ $100\pi$

answered in Quantitative Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 1 | GA Question: 2
Ms. $X$ came out of a building through its front door to find her shadow due to the morning sun failing to her right side with the building to her back. From this, it can be inferred that building is facing _________ North East West South

answered in Analytical Aptitude Apr 18, 2021

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GATE Mechanical 2021 Set 1 | GA Question: 1
Consider the following sentences: After his surgery, Raja hardly could walk. After his surgery, Raja could barely walk. After his surgery, Raja barely could walk. After his surgery, Raja could hardly walk. Which of the above sentences are grammatically $\text{CORRECT}$ ... $\text{(i) and (iii)}$ $\text{(iii) and (iv)}$ $\text{(ii) and (iv)}$

answered in Verbal Aptitude Apr 18, 2021

1 vote

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 adjacent to $Q.$ The number of distinct seating arrangements possible is: $4$ $8$ $10$ $16$

answered in Quantitative Aptitude Apr 14, 2021

1 vote

GATE Mechanical 2020 Set 2 | GA Question: 9
An engineer measures THREE quantities, $X, Y$ and $Z$ in an experiment. She finds that they follow a relationship that is represented in the figure below$: ($the product of $X$ and $Y$ linearly varies with $Z)$ Then, which of the following statements is ... fixed $Y$; $X$ is proportional to $Z$ For fixed $X$; $Z$ is proportional to $Y$ $XY/Z$ is constant

answered in Quantitative Aptitude Apr 4, 2021

1 vote

GATE Mechanical 2020 Set 1 | GA Question: 9
Select the graph that schematically represents BOTH $y=x^{m}\:\text{and}\:y=x^{1/m}$ properly in the interval $0\leq x \leq 1$, for integer values of $m,$ where $m > 1.$

answered in Quantitative Aptitude Apr 4, 2021

Answers by Lakshman Patel RJIT

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