Recent activity 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 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, ...

​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...

​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}$

​​​​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...

​​​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 & ...

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...

A sum of money is to be distributed among $\text{P, Q, R and S}$ in theproportion $5: 2: 4: 3$, respectively.If R gets ₹ 1000 more than S, what is the share of Q (in ₹)?5...

A trapezium has vertices marked as $\mathrm{P}, \mathrm{Q}, \mathrm{R}$ and $\mathrm{S}$ $\text{(in that order anticlockwise).}$ The side PQ is parallel to side SR. Furth...

Consider the following inequalities.$2 x-1>7$2 x-9<1$Which one of the following expressions below satisfies the above two inequalities?$x \leq-4$$-4$$4$$x \geq 5$

$p$ 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,...