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Recent questions and answers in Quantitative Aptitude

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GATE BT 2023 | Question: 22
A series $(\mathrm{S})$ is given as $\mathrm{S}=1+3+5+7+9+\ldots \ldots$The sum of the first $50$ terms of $\mathrm{S}$ is __________.
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GATE BT 2017 | GA | Question: 9
There are $3$ Indians and $3$ Chinese in a group of $6$ people. How many subgroups of this group can we choose so that every subgroup has at least one Indian?$56$$52$$48$...
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GATE BT 2022 | GA | Question: 8
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam.From the data presented above, which one of the following is ...
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GATE BT 2020 | GA | Question: 10
The profit shares of two companies $P$ and $Q$ are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the tota...
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GATE BT 2026 | GA | Question: 4
How many $3$-digit numbers can be formed using three distinct single digit prime numbers?$64$$24$$12$$4$
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GATE BT 2021 | GA | Question: 7
$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit} \% & \textbf{Marked Price} \\ & (₹) && (₹) \\ \hline P & 5,400 & \dots & 5,860 \\ \hlin...
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GATE BT 2021 | GA | Question: 6
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an open cylinder by bringing the short edges ...
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GATE BT 2024 | GA | Question: 4
The number of coins of ₹ $1$, ₹ $5$, and ₹ $10$ denominations that a person has are in the ratio $5: 3: 13$. Of the total amount, the percentage of money in ₹ $5$ coins i...
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GATE BT 2024 | GA | Question: 7
A rectangular paper sheet of dimensions $54 \mathrm{~cm} \times 4 \mathrm{~cm}$ is taken. The two longer edges of the sheet are joined together to create a cylindrical tu...
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GATE BT 2024 | GA | Question: 9
A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge....
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GATE BT 2023 | GA | Question: 7
To construct a wall, sand and cement are mixed in the ratio of $3: 1$. The cost of sand and that of cement are in the ratio of $1: 2$.If the total cost of sand and cement...
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GATE BT 2022 | GA | Question: 2
Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the poin...
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GATE BT 2022 | GA | Question: 3
If$p : q = 1:2$$q : r = 4 : 3$$r : s = 4 : 5$and $u$ is $50\%$ more than $s$, what is the ratio $p : u$?$2 : 15$$16 : 15$$1 : 5$$16 : 45$
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GATE BT 2022 | GA | Question: 5
In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the are...
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GATE BT 2022 | GA | Question: 7
$\text{P}$ invested ₹$5000$ per month for $6$ months of a year and $\text{Q}$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profit is...
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GATE BT 2021 | GA | Question: 1
The ratio of boys to girls in a class is $7$ to $3$. Among the options below, an acceptable value for the total number of students in the class is$21$$37$$50$$73$
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GATE BT 2021 | GA | Question: 8
There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.The probability that at least two chocolates are iden...
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GATE BT 2020 | GA | Question: 5
The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______$n^2-n$$n^2+n$$2n^2-n$$2n^2+n$
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GATE BT 2020 | GA | Question: 8
The distance between Delhi and Agra is $233$ km. A car $P$ started travelling from Delhi to Agra and another car $Q$ started from Agra to Delhi along the same road $1$ ho...
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GATE BT 2020 | GA | Question: 9
For a matrix $M=[m_{ij}]; \: i,j=1,2,3,4$, the diagonal elements are all zero and $m_{ij}=-m_{ji}$. The minimum number of elements required to fully specify the matrix is...
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GATE BT 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$
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GATE BT 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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GATE BT 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 BT 2016 | GA | Question: 5
A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If t...
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GATE BT 2016 | GA | Question: 6
Students taking an exam are divided into two groups: $P$ and $Q$ such that each group has the same number of students. The performance of each of the students in a test w...
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GATE BT 2016 | GA | Question: 9
The binary operation $\square$ is defined as $a \square b = ab+(a+b)$, where $a$ and $b$ are any two real numbers. The value of the identity element of this operation, de...
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GATE BT 2016 | GA | Question: 10
Which of the following curves represents the function $y = \ln (\mid e^{ [ \mid \sin ( \mid x \mid ) \mid ]} \mid )$ for $\mid x \mid < 2 \pi$?. Here, $x$ represents the ...
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GATE BT 2017 | GA | Question: 3
In the summer, water consumption is known to decrease overall by $25\%$. A Water Board official states that in the summer household consumption decreases by $20\%$. While...
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GATE BT 2017 | GA | Question: 4
$40\%$ of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is$120$$144$$160$$212$
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GATE BT 2017 | GA | Question: 8
Trunks ($10$ m long) and cars ($5$ m long) go on a single lane bridge. There must be a gap of at least $20$ m after each trunk and a gap of at least $15$ m after each car...
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GATE BT 2017 | GA | Question: 10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ ...
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GATE BT 2015 | GA | Question: 4
Operators $\square$, $\lozenge$ and $\rightarrow$ are defined by: $a \: \square \: b = \dfrac{a-b}{a+b}$; $a \: \lozenge \: b = \dfrac{a+b}{a-b}$; $a \rightarrow b = ab$....
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GATE BT 2015 | GA | Question: 5
If $\log_x (5/7) = -1/3$, then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$
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GATE BT 2015 | GA | Question: 9
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which a...
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GATE BT 2015 | Question: 57
A synchronous culture containing $1.8 \times 10^5$ monkey kidney cells was seeded into three identical flasks. The doubling time of these cells is $24$ h. After $24$ h, t...
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GATE BT 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 occurrenc...
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GATE BT 2014 | GA | Question: 5
The population of a new city is $5$ million and is growing at $20\%$ annually. How many years would it take to double at this growth rate?$3-4$ years$4-5$ years$5-6$ year...
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GATE BT 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 percenta...
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GATE BT 2014 | GA | Question: 10
$10\%$ of the population in a town is HIV+. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV+ individuals 95% of the time, and HIV i...
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GATE BT 2013 | Question: 62
In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production $2\%$ of $M1$ and $3\%$ of $M2$ are...
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