Questions by Shubham Sharma 2

The ratio of the number of students in the morning shift and afternoon shift of a school was $13: 9$. After $21$ students moved from the morning shift to the afternoon sh...

If the length of a side of a rhombus is $36$ $\mathrm{cm}$ and the area of the rhombus is $396$ $\mathrm{sq}. \mathrm{cm}$, then the absolute value of the difference betw...

The number of non-negative integer values of $k$ for which the quadratic equation $x^{2}-5 x+k=0$ has only integer roots, is

A shopkeeper offers a discount of $22 \%$ on the marked price of each chair, and gives $13$ chairs to a customer for the discounted price of $12$ chairs to earn a profit ...

The number of distinct integer solutions $(x, y)$ of the equation $\mid x+y \mid + \mid x-y \mid =2$, is

Consider the sequence $t_{1}=1, t_{2}=-1$ and $t_{n}=\left(\frac{n-3}{n-1}\right) t_{n-2}$ for $n \geq 3$. Then, the value of the sum $\frac{1}{t_{2}}+\frac{1}{t_{4}}+\fr...

The number of distinct real values of $x$, satisfying the equation $\max \{x, 2\}-\min \{x, 2\}=\mid x+2 \mid-\mid x-2 \mid$, is

If $10^{68}$ is divided by $13$, the remainder is$5$$8$$4$$9$

For some constant real numbers $p, k$ and $a$, consider the following system of linear equations in $x$ and $y$:$px-4y=2$$3x+ky=a$A necessary condition for the system to ...

The sum of all distinct real values of $x$ that satisfy the equation $10^{x}+\frac{4}{10^{x}}=\frac{81}{2}$, is$4 \log _{10} 2$$2 \log _{10} 2$$3 \log _{10} 2$$\log _{10}...

A train travelled a certain distance at a uniform speed. Had the speed been $6$ km per hour more, it would have needed $4$ hours less. Had the speed been $6$ km per hour ...

In a group of $250$ students, the percentage of girls was at least $44 \%$ and at most $60 \%$. The rest of the students were boys. Each student opted for either swimming...

Sam can complete a job in $20$ days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayna in the same job. They undertake a job with an arrangement...

A certain amount of water was poured into a $300$ litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was tak...

A regular octagon $\mathrm{ABCDEFGH}$ has sides of length $6$ $\mathrm{cm}$ each. Then the area, in $\mathrm{sq. cm}$, of the square $\mathrm{ACEG}$ is$36(1+\sqrt{2})$$72...

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 air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...

The air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...

The air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...

The air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...

The air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...

Over the top $\text{(OTT)}$ subscribers of a platform are segregated into three categories: Kid,Elder,Others. Some of the subscribers used one app and the others used mul...

Over the top $\text{(OTT)}$ subscribers of a platform are segregated into three categories: Kid,Elder,Others. Some of the subscribers used one app and the others used mul...

Over the top $\text{(OTT)}$ subscribers of a platform are segregated into three categories: Kid,Elder,Others. Some of the subscribers used one app and the others used mul...

Over the top $\text{(OTT)}$ subscribers of a platform are segregated into three categories: Kid,Elder,Others. Some of the subscribers used one app and the others used mul...

Out of $10$ countries Country $1$ through Country $10$ Country $9$ has the highest gross domestic product (GDP), and Country $10$ has the highest GDP per capita. GDP ...

Out of $10$ countries Country $1$ through Country $10$ Country $9$ has the highest gross domestic product (GDP), and Country $10$ has the highest GDP per capita. GDP ...

Out of $10$ countries Country $1$ through Country $10$ Country $9$ has the highest gross domestic product (GDP), and Country $10$ has the highest GDP per capita. GDP ...

Out of $10$ countries Country $1$ through Country $10$ Country $9$ has the highest gross domestic product (GDP), and Country $10$ has the highest GDP per capita. GDP ...

The figure below shows a network with three parallel roads represented by horizontal lines $\mathrm{R-A}$, $\mathrm{R-B}$, and $\mathrm{R-C}$ and another three parallel r...