# Recent questions in Quantitative Aptitude

1 vote
1
If $\theta$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, $\cos \theta =$ $\frac{1}{2} \\$ $\frac{1}{\sqrt{3}} \\$ $\frac{1}{\sqrt{2}} \\$ $\frac{\sqrt{3}}{2}$
2
​​​​​​If $\left( x – \dfrac{1}{2} \right)^2 – \left( x- \dfrac{3}{2} \right) ^2 = x+2$, then the value of $x$ is: $2$ $4$ $6$ $8$
3
The number of students in three classes is in the ratio $3:13:6$. If $18$ students are added to each class, the ratio changes to $15:35:21$. The total number of students in all the three classes in the beginning was: $22$ $66$ $88$ $110$
4
The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year $3$ was $₹\;1$, which was half the cost/unit in Year $2$. The cost/unit in Year $3$ was one-third of the cost/unit in Year $1$. ... The ratio of the selling price in Year $2$ to the selling price in Year $3$ is _________. $4:3$ $1:1$ $3:4$ $1:2$
5
​​​​​​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: $21$ $37$ $50$ $73$
6
We have $2$ rectangular sheets of paper, $\text{M}$ and $\text{N}$, of dimensions $\text{6 cm$\times$1 cm}$ each. Sheet $\text{M}$ is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet $\text{N}$ is cut into equal square patches and assembled ... volume of the cylinder to that of the cube is _________. $\frac{\pi}{2}$ $\frac{3}{\pi}$ $\frac{9}{\pi}$ $3\pi$
7
$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit %} & \textbf{Marked Price} \\ & (₹) & & (₹) \\\hline P &5,400 &---&5,860\\\hline Q&---&25&10,000\\\hline\end{array}$ Details of prices of two items $P$ and $Q$ are presented in ... $Q$, as a percentage of its marked price, is _______ $25$ $12.5$ $10$ $5$
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 identical is __________ $0.3024$ $0.4235$ $0.6976$ $0.8125$
9
Consider the following bar chart: Which of the following are true? Number of students who scored $A$ in Algebra is higher than the number of students who scored $A$ in Calculus Percentage of students who scored $A$ or $B$ in algebra is lower than the percentage of ... or $B$ in calculus Calculus is easier than algebra Considering this data, the average percentage of students scoring $A$ is $12\%$
10
The following graph shows the performance of students in an exam. The marks scored by every student are a multiple of five. The $j^{th}$-percentile $u^*$ for a discrete data $x_1,x_2, ,x_n$ ... presented in the graph, answer the following questions. Compute the $10^{th}$ percentile of marks. Is the median score higher than the mean score?
11
In the figure shown below, the circle has diameter $5$. Moreover, $AB$ is parallel to $DE.$ If $DE=3$ and $AB=6,$ what is the area of triangle $ABC?$
12
A multi-national conglomerate sells soap products for five different market segments, namely (i) Women, (ii) Men, (iii) Kids, (iv) Sports, and (v) Luxury. The sales of these five segments (in lakh number of packs) during $2012$ and $2017$ are shown in the ... than the sales of the Men segment in $2017$? During the period $2012-2017$, which segment experienced the minimum rate of increase in sales?
1 vote
13
What is the total number of ways to reach from $A$ to $B$ in the network given? $12$ $16$ $20$ $22$
14
What is the radix of the numbers if the solution to the quadratic equation $x^2-10x+26=0$ is $x=4$ and $x=7$? $8$ $9$ $10$ $11$
15
Evaluate the sum $S=1+1+\dfrac{3}{2^{2}}+\dfrac{3}{2^{3}}+\dfrac{5}{2^{4}}+\dots$ $1$ $2$ $3$ $4$
16
A can is filled with $5$ paise coins. Another can is filled with $10$ paise coins. Another can is filled with $25$ paise coins. All the cans are given wrong labels. If the can labeled $25$ paise is not having the $10$ paise coins, what will the can, labeled $10$ paise have? $25$ paise $5$ paise $10$ paise cannot be determined
17
Find the smallest number $y$ such that $y\times 162$ ($y$ multiplied by $162$) is a perfect cube $24$ $27$ $36$ $38$
1 vote
When the sum of all possible two digit numbers formed from three different one digit natural numbers are divided by sum of the original three numbers, the result is $26$ $24$ $20$ $22$
What is the maximum number of distinct handshakes that can happen in the room with $5$ people in it? $15$ $10$ $6$ $5$
The percentage profit earned by selling an article for $\text{Rs.}1,920$ is equal to the percentage loss incurred by selling the same article for $\text{Rs.}1,280$. At what price should the article be sold to make $25\%$ profit? $\text{Rs.}2,000$ $\text{Rs.}2,200$ $\text{Rs.}2,400$ Data inadequate