Answers by haralk10

Let $\text{A}$ and $\text{B}$ be two regular polygons having $\text{A}$ and $\text{B}$ sides, respectively. If $b= 2a$ and each interior angle of $\text{B}$ is $3/2$ time...

Let $A$ be a real number. Then the roots of the equation $x^{2}-4x-\log _{2}A=0$ are real and distinct if and only if$A \frac{1}{16}$$A \frac{1}{8}$$A< \frac{1}{16}$$A< \...

A can contains a mixture of two liquids $\text{A}$ and $\text{B}$ in proportion $7:5$. When $9$ litres of mixture are drawn off and the can is filled with $\text{B}$, the...

A cylindrical box of radius $5$ cm contains $10$ solid spherical balls each of radius $5$ cm. If the topmost ball touches the upper cover of the box, then the volume of t...

The minute hand is $10$ cm long. Find the area of the face of the clock described by the minute hand between $9$ a.m and $9:35$ a.m.${183.3\ cm^{2}}$${366.6\ cm^{2}}$${24...

The price of an article was increased by $p\%$, later the new price was decreased by $p\%$. If the last price was Re. $1$ then the original price was:$\dfrac{1-p^{2}}{200...

The quadratic equation $x^{2}+bx+c=0$ has two roots $4a$ and $3a$, where a is an integer. Which of the following is a possible value of $b^{2}+c$?$3721$$549$$427$$361$

A cyclist leaves $\text{A}$ at $10$ am and reaches $\text{B}$ at $11$ am. Starting from $10:01$ am, every minute a motor cycle leaves $\text{A}$ and moves towards $\text{...

Two ants $\text{A}$ and $\text{B}$ start from a point $\text{P}$ on a circle at the same time, with $\text{A}$ moving clock-wise and $\text{B}$ moving anti-clockwise. The...

John jogs on track $\text{A}$ at $6$ kmph and Mary jogs on track $\text{B}$ at $7.5$ kmph. The total length of tracks $\text{A}$ and $\text{B}$ is $325$ metres. While Joh...

The salaries of Ramesh, Ganesh and Rajesh were in the ratio $6:5:7$ in $2010$, and in the ratio $3:4:3$ in $2015$. If Ramesh’s salary increased by $25\%$ during $2010-201...

If x is a real number, then $\sqrt{\log _{e}\frac{4x-x^{2}}{3}}$ is a real number if and only if$1\leq x\leq 2$$-3\leq x\leq 3$$1\leq x\leq 3$$-1\leq x\leq 3$

In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by $6$. The revised scor...

Read the following information carefully and answer the questions given below :Five students Sujit, Randhir, Neena, Mihir and Vinay have total five books on subjects Phys...

Read the following information carefully and answer the questions given below :Five students Sujit, Randhir, Neena, Mihir and Vinay have total five books on subjects Phys...

Read the following information carefully and answer the questions given below :Five students Sujit, Randhir, Neena, Mihir and Vinay have total five books on subjects Phys...

Use the information given below :There is a group of five persons - $A, B, C,D,$ and $E$. In the group there is a Professor of Philosophy, a Professor of Psychology and a...

Use the information given below :There is a group of five persons - $A, B, C,D,$ and $E$. In the group there is a Professor of Philosophy, a Professor of Psychology and a...

A dishonest milkman professes to sell his milk at $C.P$. but he mixes it with water and thereby gains $25\%$. The percentage of water in the mixture is :$25\%$$20\%$$4\%$...

A boy $1.4$ $m$ tall casts a shadow $1.2$ $m$ long at the time when a building casts a shadow $5.4$ $m$ long. The height of the building is:$4.63 m$$3.21 m$$6.3 m$$5.6 m$

Two persons start walking on a road that diverge at an angle of $120^{\circ}$. If they walk at the rate of $3$km/h and $2$km/h respectively.Find the distance between them...

The expressions $\dfrac{\tan A}{1-\cot A}+\dfrac{\cot A}{1-\tan A}$ can be written as:$\sin A \ \cos A+1$$\sec A \ cosec A+1$$\tan A+ \cot A+1$$\sec A +cosec A$

The line $x+y=4$ divides the line joining $\text{(-1,1) & (5,7)}$ in the ratio $\lambda : 1$ then the value of $\lambda$ is:$2$$3$$\dfrac{1}{2}$$1$

Two bicyclists travel in opposite directions. One travels $5$ miles per hour faster than the other. In $2$ hours they are $50$ miles apart. What is the rate of the faster...

A man rowed $3$ miles upstream in $90$ minutes. If the river flowed with a current of $2$ miles per hour, how long did the man’s return trip take?$20$ minutes$30$ minutes...

A circular garden twenty feet in diameter is surrounded by a path three feet wide. What is the area of the path?$51 \pi$ square feet$60 \pi$ square feet$69 \pi$ square fe...