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Recent questions and answers in Quantitative Aptitude

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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 $3$ AM the next day? $11$ $12$ $144$ $2$
Lakshman Patel RJIT answered in Quantitative Aptitude Mar 2, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
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, 2022
by Lakshman Patel RJIT
18.0k points
2 answers
1 vote
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 ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$
ShouvikSVK answered in Quantitative Aptitude Jan 18, 2022
by ShouvikSVK
280 points
1 answer
1 vote
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 _____ $\frac{3}{16}$ $\frac{45}{236}$ $\frac{1}{4}$ $\frac{3}{4}$
Lakshman Patel RJIT answered in Quantitative Aptitude Apr 18, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
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 ____ $\text{10.08 AM}$ $\text{10.42 AM}$ $\text{11.00 AM}$ $\text{10.00 PM}$
Lakshman Patel RJIT answered in Quantitative Aptitude Apr 18, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
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: $2$ $3$ $4$ $5$
Lakshman Patel RJIT answered in Quantitative Aptitude Apr 18, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
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 ________. $225$ $600$ $1900$ $2500$
Lakshman Patel RJIT answered in Quantitative Aptitude Apr 18, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
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 ________ $5:7:13$ $5:14:13$ $10:21:26$ $21:10:26$
Lakshman Patel RJIT answered in Quantitative Aptitude Apr 18, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
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 $\text{cm}^{2}?$ $2\pi$ $50\pi$ $75\pi$ $100\pi$
Lakshman Patel RJIT answered in Quantitative Aptitude Apr 18, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
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: $4$ $8$ $10$ $16$
Lakshman Patel RJIT answered in Quantitative Aptitude Apr 14, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
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
Lakshman Patel RJIT answered in Quantitative Aptitude Apr 4, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
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 $m > 1.$
Lakshman Patel RJIT answered in Quantitative Aptitude Apr 4, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
GATE Mechanical 2020 Set 2 | GA Question: 10
The two pie-charts given below show the data of total students and only girls registered in different streams in a university. If the total number of students registered in the university is $5000$, and the total number of the registered girls is $1500$ ... enrolled in Arts to the girls enrolled in Management is ___________ $2:1$ $9:22$ $11:9$ $22:9$
Lakshman Patel RJIT answered in Quantitative Aptitude Feb 12, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
GATE Mechanical 2020 Set 2 | GA Question: 8
IT was estimated that $52$ men can complete a strip in a newly constructed highway connecting cities $P$ and $Q$ in $10$ days, Due to an emergency, $12$ men were sent to another project. How many number of days, more than the original estimate, will be required to complete the strip? $3$ days $5$ days $10$ days $13$ days
Lakshman Patel RJIT answered in Quantitative Aptitude Feb 12, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
GATE Mechanical 2020 Set 2 | GA Question: 5
There are five levels $\{P, Q, R, S, T\}$ in a linear supply chain before a product reaches customers, as shown in the figure. At each of the five levels, the price of the product is increased by $25 \%$. If the product is produced at level $P$ ... . $120$ per unit, what is the price paid (in rupees) by the customers? $187.50$ $234.38$ $292.96$ $366.21$
Lakshman Patel RJIT answered in Quantitative Aptitude Feb 12, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
GATE Mechanical 2020 Set 1 | GA Question: 10
The bar graph shows the data of the students who appeared and passed in an examination for four schools $P, Q, R$, and $S$. The average of success rates $\text{(in percentage)}$ of these four schools is _______. $58.5\%$ $58.8\%$ $59.0\%$ $59.3\%$
Lakshman Patel RJIT answered in Quantitative Aptitude Feb 11, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
GATE Mechanical 2020 Set 1 | GA Question: 5
Define $[x]$ as the greatest integer less than or equal to $x$, for each $x\in \left (- \infty, \infty \right ).$ If $y = [x]$, then area under $y$ for $x\in \left [ 1,4 \right ]$ is _______. $1$ $3$ $4$ $6$
Lakshman Patel RJIT answered in Quantitative Aptitude Feb 11, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
1 vote
GATE Mechanical 2020 Set 1 | GA Question: 8
The sum of the first $n$ terms in the sequence $8,\:88,\:888,\:8888,\dots$ is ________. $\dfrac{81}{80}\left ( 10^{n}-1 \right )+\dfrac{9}{8}n \\$ $\dfrac{81}{80}\left ( 10^{n}-1 \right )-\dfrac{9}{8}n \\$ $\dfrac{80}{81}\left ( 10^{n}-1 \right )+\dfrac{8}{9}n \\$ $\dfrac{80}{81}\left ( 10^{n}-1 \right )-\dfrac{8}{9}n$
Lakshman Patel RJIT answered in Quantitative Aptitude Feb 10, 2021
by Lakshman Patel RJIT
18.0k points
1 answer
0 votes
GATE Mechanical 2018 Set 2 | GA Question: 10
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head ans T stands for tail, the following are the observations from the four trials. HTHTHT TTHHHT HTTHHT ... Two T will occur. One H and one T will occur. Two H will occur. One H wll be followed by one T.
shubham shende answered in Quantitative Aptitude Jan 5, 2020
by shubham shende
140 points
1 answer
0 votes
GATE Mechanical 2019 Set 2 | GA Question: 6
Fiscal deficit was $4 \%$ of the GDP in $2015$ and that increased to $5 \%$ in $2016$. If the GDP increased by $10 \%$ from $2015$ to $2016$, the percentage increase in the actual fiscal deficit is ____ $37.50$ $35.70$ $25.00$ $10.00$
Aditya111 answered in Quantitative Aptitude Dec 12, 2019
by Aditya111
140 points
1 answer
0 votes
GATE Mechanical 2017 Set 2 | GA Question: 7
$X$ bullocks and $Y$ tractors take $8$ days to plough a field. If we have the number of bullocks and double the number of tractors, it takes $5$ days to plough the same field. How many days will it take $X$ bullocks alone to plough the field? $30$ $35$ $40$ $45$
Booster Bhai answered in Quantitative Aptitude Oct 4, 2019
by Booster Bhai
140 points
1 answer
1 vote
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 for $4$ hours, Then $P$ is closed and $Q$ is opened. After $6$ more hours $R$ is closed. The total time taken to fill the tank (in hours) is ____ $13.50$ $14.50$ $15.50$ $16.50$
Satbir answered in Quantitative Aptitude Jun 3, 2019
by Satbir
260 points
1 answer
0 votes
GATE Mechanical 2019 Set 2 | GA Question: 9
Mola is a digital platform for taxis in a city. It offers three types of rides - Pool, Mini and Prime.The table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of the revenue ... $16.24$ $23.97$ $25.86$ $38.74$
Satbir answered in Quantitative Aptitude Jun 3, 2019
by Satbir
260 points
1 answer
0 votes
GATE Mechanical 2019 Set 2 | GA Question: 4
The product of three integers $X$, $Y$ and $Z$ is $192$. $Z$ is equal to $4$ and $P$ is equal to the average of $X$ and $Y$. What is the minimum possible value of $P$? $6$ $7$ $8$ $9.5$
Satbir answered in Quantitative Aptitude Jun 3, 2019
by Satbir
260 points
1 answer
0 votes
GATE Mechanical 2019 Set 1 | GA Question: 4
The sum and product of two integers are $26$ and $165$ respectively. The difference between these two integers is ______ $2$ $3$ $4$ $6$
Gurdeep Saini answered in Quantitative Aptitude Jun 3, 2019
by Gurdeep Saini
700 points
1 answer
1 vote
GATE ME 2012 | Question: 63
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y=2x-0.1x^2$ where $y$ is the height of the arch in meters. The maximum possible height of the arch is $8$ meters $10$ meters $12$ meters $14$ meters
Balaji Jegan answered in Quantitative Aptitude Apr 4, 2018
by Balaji Jegan
1.2k points
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