Recent questions and answers in Quantitative Aptitude

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...

​​​A $4 \times 4$ digital image has pixel intensities $(U)$ as shown in the figure. The number of pixels with $U \leq 4$ is:$$\begin{array}{|l|l|l|l|} \hline 0 & 1 & 0 & ...

​​​​A rectangle has a length $\text{L}$ and a width $\text{W}$ , where $\text{L>W}$. If the width, $\text{W}$, is increased by $10 \%$, which one of the following stateme...

​If a real variable $x$ satisfies $3^{x^{2}}=27 \times 9^{x}$, then the value of $\frac{2^{x^{2}}}{\left(2^{x}\right)^{2}}$ is:$2^{-1}$$2^{0}$$2^{3}$$2^{15}$

​The number of patients per shift $(X)$ consulting Dr. Gita in her past $100$ shifts is shown in the figure. If the amount she earns is ₹ $1000(X-0.2)$, what is the avera...

A street sweeping machine starts from point $P$ and ends at $S$, as shown in the network of streets below. It sweeps all the streets at least once.Length of the streets, ...

In an election, the share of valid votes received by the four candidates $\text{A, B, C}$, and $\mathrm{D}$ is represented by the pie chart shown. The total number of vot...

How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number?$24$$48$$...

Person $1$ and Person $2$ invest in three mutual funds $\text{A, B}$, and $\text{C}$. The amounts they invest in each of these mutual funds are given in the table Mutual...

A square with sides of length $6 \mathrm{~cm}$ is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as ...

The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is ___________.$7$$1$$3$$9$

Ms. Anita uses a BS-IV two wheeler petrol scooter, with a mileage of $50 \mathrm{~km} / \mathrm{L}$, to travel $30 \mathrm{~km}$ every day. She exchanges this two wheeler...

An adult of $65 \mathrm{~kg}$ weight and life span of 65 years drinks water for 5 years, which is contaminated with toluene of concentration $0.15 \mathrm{mg} / \mathrm{L...

$p$ and $q$ are positive integers and $\frac{p}{q}+\frac{q}{p}=3$ \end{tabular} then, $\frac{p^{2}}{q^{2}}+\frac{q^{2}}{p^{2}}=$$3$$7$$9$$11$

The current population of a city is $11,02,500$. If it has been increasing at the rate of $5 \%$ per annum, what was its population $2$ years ago?$9,92,500$$9,95,006$$10,...

The number of minutes spent by two students, $X$ and $Y$, exercising every day in a given week are shown in the bar chart above. The number of days in the given week in w...

Consider the following equation:$x^{3}-10 x^{2}+31 x-30=0$Which of the following is/are the root(s) of the above equation?$1$$2$$3$$4$

If $f(x)+3 f(g(x))=x-2$where $g(x)=\frac{3 x+1}{x-3}$ then the value of the ratio $\frac{f(5)}{f(8)}$ is _________.$\text{(answer in integer)}$