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Recent questions and answers in Quantitative Aptitude

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1 1 answer
GATE IN 2014 | GA | Question: 8
The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percent...
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1 1 answer
GATE IN 2014 | GA | Question: 4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$.The average time between successive occurrence...
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GATE IN 2026 | GA | Question: 9
Circles $C_{1}, C_{2}$, and $C_{3}$, with centers $O_{1}, O_{2}$, and $O_{3}$, and radii $r_{1}, r_{2}$, and $r_{3}$, respectively, touch each other as shown in the follo...
1 1 vote
1 1 answer
GATE IN 2024 | GA | Question: 3
​​​A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error i...
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GATE IN 2025 | GA | Question: 9
In the given figure, $PQRS$ is a square of side $2 \: \mathrm{cm}$ and $PLMN$ is a rectangle. The corner $L$ of the rectangle is on the side $QR$. Side $MN$ of the rectan...
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GATE IN 2024 | GA | Question: 4
​​​​​If the sum of the first $20$ consecutive positive odd numbers is divided by $20^{2}$, the result is$1$$20$$2$$1 / 2$
1 1 vote
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GATE IN 2024 | GA | Question: 5
​​​​The ratio of the number of girls to boys in class $\text{VIII}$ is the same as the ratio of the number of boys to girls in class $\text{IX}$. The total number of stud...
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GATE IN 2024 | GA | Question: 7
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.The...
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2 2 answers
GATE IN 2023 | GA | Question: 7
Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules:At any stage, Ankita can move either one or two stairs up.At any stage, Ankita...
8 8 votes
2 answers 2 answers
GATE IN 2023 | GA | Question: 4
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$The median i...
8 8 votes
2 answers 2 answers
GATE IN 2023 | GA | Question: 3
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ ...
5 5 votes
1 1 answer
GATE IN 2023 | GA | Question: 5
In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ dep...
17 17 votes
4 4 answers
GATE IN 2023 | GA | Question: 9
Which one of the given figures $\text{P, Q, R}$ and $\text{S}$ represents the graph of the following function?$$f(x)=|| x+2|-| x-1||$$ $\text{P}$$\text{Q}$$\text{R}$$\te...
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GATE IN 2023 | Question: 39
How many five-digit numbers can be formed using the integers $3,4,5$ and $6$ with exactly one digit appearing twice?
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GATE IN 2022 | GA | Question: 2
A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape. What should be the minimum volume (in $\text{cm}^{3}$) of the box that can enclose the sphere?$\fr...
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GATE IN 2022 | GA | Question: 3
Pipes $\text{P}$ and $\text{Q}$ can fill a storage tank in full with water in $10$ and $6$ minutes, respectively. Pipe $\text{R}$ draws the water out from the storage tan...
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GATE IN 2022 | GA | Question: 7
A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest...
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GATE IN 2022 | GA | Question: 8
Consider the following inequalities.$3p \:– q < 4$$3q \:– p < 12$Which one of the following expressions below satisfies the above two inequalities?$p + q < 8$$p + q = 8$$...
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GATE IN 2021 | GA | Question: 3
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink ...
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GATE IN 2021 | GA | Question: 4
​​​​​​​$\bigoplus$ and $\bigodot$ are two operators on numbers $\text{p}$ and $\text{q}$ such that $p \bigoplus q=\dfrac{p^{2}+q^{2}}{pq}$ and $p \bigodot q=\dfrac{p^{2}}...
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GATE IN 2021 | GA | Question: 5
Four persons $\text{P, Q, R}$ and $\text{S}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{R}$ ca...
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GATE IN 2021 | GA | Question: 8
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above.The value of $\theta$, in degrees, is __...
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GATE IN 2021 | GA | Question: 9
A function, $\lambda$, is defined by$\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2} , & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{...
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GATE IN 2020 | GA | Question: 5
Define $[x]$ as the greatest integer less than or equal to $x$, for each $x \; \in \; [-\infty,\infty]$. If $y=[x],$ then area under $y$ for $x \; \in \; [1,4]$ is _____...
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GATE IN 2020 | GA | Question: 8
The sum of the first $n$ terms in the sequence $\text{8, 88, 888, 8888,$\dots$}$ is __________.$\frac{81}{80}(10^n-1)+\frac{9}{8}n$$\frac{81}{80}(10^n-1)-\frac{9}{8}n$$\f...
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GATE IN 2020 | GA | Question: 9
Select the graph that schematically represents $\text{BOTH} \;y=x^m$ and $y=x^{1/m}$ properly in the interval $0\leq x\leq 1$, for integer values of $m$, where $m>1$.
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GATE IN 2020 | GA | Question: 10
The bar graph shows the data of the students who appeared and passes in an examination for four schools $\text{P, Q, R and S.}$ The average of success rates (in percentag...
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GATE IN 2017 | GA | Question: 4
What is the value of $x$ when $81\times\left(\frac{16}{25}\right)^{x+2}\div\left(\frac{3}{5}\right)^{2x+4}=144$ ?$1$$-1$$-2$Cannot be determined
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GATE IN 2017 | GA | Question: 5
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\frac{1}{9}$$\frac{2}{9}...
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GATE IN 2017 | GA | Question: 9
Budhan covers a distance of $\text{19 km}$ in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for h...
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GATE IN 2017 | GA | Question: 10
The points in the graph below represent the halts of a lift for durations of $1$ minute, over a period of $1$ hour.Which of the following statements are correct?The eleva...
5 5 votes
1 answers 1 answer
GATE IN 2019 | GA | Question: 3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________.$17.1$$21.0$$33.1$$72.8$
6 6 votes
1 answers 1 answer
GATE IN 2019 | GA | Question: 7
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, on...
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2 answers 2 answers
GATE IN 2019 | GA | Question: 9
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The ...
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GATE IN 2016 | GA | Question: 5
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120...
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GATE IN 2016 | GA | Question: 6
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will ...
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GATE IN 2016 | GA | Question: 9
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant.$14.95$$15.25$$15.70$$20.35$
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GATE IN 2016 | GA | Question: 10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $...
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GATE IN 2015 | GA | Question: 5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to c...
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GATE IN 2015 | GA | Question: 8
In the given figure angle $Q$ is a right angle, $PS:QS=3:1, RT:QT=5:2$ and $PU:UR=1:1$. If area of triangle $QTS$ is $20\; cm^2$, then the area of triangle $PQR$ in $cm^2...
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