Recent questions in Quantitative Aptitude

After two successive increments, Gopal's salary became $187.5 \%$ of his initial salary. If the percentage of salary increase in the second increment was twice of that in...

A circular plot of land is divided into two regions by a chord of length $10 \sqrt{3}$ meters such that the chord subtends an angle of $120^{\circ}$ at the center. Then, ...

Aman invests $\mathrm{Rs} \: 4000$ in a bank at a certain rate of interest, compounded annually. If the ratio of the value of the investment after $3$ years to the value ...

If $(a+b \sqrt{3})^{2}=52+30 \sqrt{3}$, where $a$ and $b$ are natural numbers, then $a+b$ equals$9$$8$$7$$10$

Rajesh and Vimal own $20$ hectares and $30$ hectares of agricultural land, respectively, which are entirely covered by wheat and mustard crops. The cultivation area of wh...

Gopi marks a price on a product in order to make $20 \%$ profit. Ravi gets $10 \%$ discount on this marked price, and thus saves Rs $15$. Then, the profit, in rupees, mad...

The roots $\alpha, \beta$ of the equation $3 x^{2}+\lambda x-1=0$, satisfy $\frac{1}{\alpha^{2}}+\frac{1}{\beta^{2}}=15$. The value of $\left(\alpha^{3}+\beta^{3}\right)^...

A function $f$ maps the set of natural numbers to whole numbers, such that $f(x y)=f(x) f(y)+f(x)+f(y)$ for all $x, y$ and $f(p)=1$ for every prime number $p$. Then, the ...

If $a, b$ and $c$ are positive real numbers such that $a>10 \geq b \geq c$ and $\frac{\log _{8}(a+b)}{\log _{2} c}+\frac{\log _{27}(a-b)}{\log _{3} c}=\frac{2}{3}$, then ...

If $x$ and $y$ are real numbers such that $4 x^{2}+4 y^{2}-4 x y-6 y+3=0$, then the value of $(4 x+5 y)$ is

Three circles of equal radii touch (but not cross) each other externally. Two other circles, $X$ and $Y$, are drawn such that both touch (but not cross) each of the three...

The sum of the infinite series $\frac{1}{5}\left(\frac{1}{5}-\frac{1}{7}\right)+\left(\frac{1}{5}\right)^{2}\left(\left(\frac{1}{5}\right)^{2}-\left(\frac{1}{7}\right)^{2...

A vessel contained a certain amount of a solution of acid and water. When $2$ litres of water was added to it, the new solution had $50 \%$ acid concentration. When $15$ ...

If $m$ and $n$ are natural numbers such that $n>1$, and $m^{n}=2^{25} \times 3^{40}$, then $m-n$ equals$209942$$209947$$209932$$209937$

$\mathrm{ABCD}$ is a trapezium in which $\mathrm{A B}$ is parallel to $\mathrm{C D}$. The sides $\mathrm{A D}$ and $\mathrm{B C}$ when extended, intersect at point $\math...

The coordinates of the three vertices of a triangle are: $(1,2),(7,2)$, and $(1,10)$. Then the radius of the incircle of the triangle is

When Rajesh's age was same as the present age of Garima, the ratio of their ages was $3 : 2$. When Garima's age becomes the same as the present age of Rajesh, the ratio o...

A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up $40 \%$ of his st...

When $3^{333}$ is divided by $11$, the remainder is$5$$6$$1$$10$

Bina incurs $19 \%$ loss when she sells a product at Rs. $4860$ to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the pur...

All the values of $x$ satisfying the inequality $\frac{1}{x+5} \leq \frac{1}{2 x-3}$ are$-5 < x<\frac{3}{2}$ or $\frac{3}{2}<x\leq 8$$x<-5$ or $x \frac{3}{2}$$x < -5$ or...

A company has $40$ employees whose names are listed in a certain order. In the year $2022$, the average bonus of the first $30$ employees was Rs. $40000$, of the last $30...

If $(x+6 \sqrt{2})^{\frac{1}{2}}-(x-6 \sqrt{2})^{\frac{1}{2}}=2 \sqrt{2}$, then $x$ equals

A bus starts at $9 \: \mathrm{am}$ and follows a fixed route every day. One day, it traveled at a constant speed of $60 \: \mathrm{km}$ per hour and reached its destinati...

$\mathrm{P}, \mathrm{Q}, \mathrm{R}$ and $\mathrm{S}$ are four towns. One can travel between $\mathrm{P}$ and $\mathrm{Q}$ along $3$ direct paths, between $\mathrm{Q}$ an...

Anil invests Rs $22000$ for $6$ years in a scheme with $4\%$ interest per annum, compounded half-yearly. Separately, Sunil invests a certain amount in the same scheme for...

Amal and Vimal together can complete a task in $150$ days, while Vimal and Sunil together can complete the same task in $100$ days. Amal starts working on the task and wo...

If $x$ and $y$ satisfy the equations $\mid x \mid+x+y=15$ and $x+\mid y \mid-y=20$, then $(x-y)$ equals$15$$10$$20$$5$

Two places $\text{A}$ and $\text{B}$ are $45$ $\textrm{kms}$ apart and connected by a straight road. Anil goes from $\text{A}$ to $\text{B}$ while Sunil goes from $\text{...

Consider two sets $A=\{2,3,5,7,11,13\}$ and $B=\{1,8,27\}$. Let $f$ be a function from $A$ to $B$ such that for every element $b$ in $B$, there is at least one element $a...

$\mathrm{ABCD}$ is a rectangle with sides $\text{AB}=56 \mathrm{~cm}$ and $\text{BC}=45 \mathrm{~cm}$, and $\text{E}$ is the midpoint of side $\text{CD}$. Then, the lengt...

In September, the incomes of Kamal, Amal and Vimal are in the ratio $8: 6: 5$. They rent a house together, and Kamal pays $15 \%$, Amal pays $12 \%$ and Vimal pays $18 \%...

Suppose $x_{1}, x_{2}, x_{3}, \ldots, x_{100}$ are in arithmetic progression such that $x_{5}=-4$ and $2 x_{6}+2 x_{9}=x_{11}+x_{13}$. Then, $x_{100}$ equals$206$$204$$-1...

An amount of $\mathrm{Rs}$ $10000$ is deposited in bank $\text{A}$ for a certain number of years at a simple interest of $5 \%$ per annum. On maturity, the total amount r...

If $x$ is a positive real number such that $4 \log _{10} x+4 \log _{100} x+8 \log _{1000} x=13$, then the greatest integer not exceeding $x$, is

Let $x, y$, and $z$ be real numbers satisfying$\begin{array}{l} 4\left(x^{2}+y^{2}+z^{2}\right)=a, \\ 4(x-y-z)=3+a. \end{array} $Then $a$ equals$1 \frac{1}{3}$$1$$3$$4$

The sum of all four-digit numbers that can be formed with the distinct non-zero digits $a, b, c$, and $d$, with each digit appearing exactly once in every number, is $153...

A fruit seller has a total of $187$ fruits consisting of apples, mangoes and oranges. The number of apples and mangoes are in the ratio $5: 2$. After she sells $75$ apple...

When $10^{100}$ is divided by $7$, the remainder is$3$$4$$6$$1$

A shop wants to sell a certain quantity (in $\mathrm{kg}$ ) of grains. It sells half the quantity and an additional $3$ $\mathrm{kg}$ of these grains to the first custome...