DELHI POLICE MATHS QUIZ -17

In a circle, $\mathrm{AB}$ is a chord of length $\frac{21}{\sqrt{2}} \mathrm{~cm}$ and $\mathrm{C}$ is a point on circle, such that $\angle \mathrm{ACB}=$ $45^{\circ}$, find the area of the circle.

The product of two numbers is $376 \times 576$ and their LCM is 6336 . Find the HCF.

The marked price of an article is Rs.5,000. The shopkeeper gives a discount of $5\%$ but still makes a profit of $25\%$. What is the cost price of the article?

A candidate got 41250 votes in an election and defeated his opponent by a margin of 7500 votes. If no votes were declared invalid and there were only two candidates, then what is the percentage of votes obtained by the winning candidate?

A and $B$ together can do a piece of work in 15 days, while $A$ alone can do that work in $18.75$ days. They started working together but $A$ left the work $12.5$ days before the completion of the work. For how many days did $A$ and $B$ work together?

A man can row 10 km/hr in still water and it takes him 150 minutes to row to a place and back to the starting point. If the speed of current is 2 km/hr, then how far is the place from the starting point? (in km)

Walking at $4 \mathrm{~km}$ per hour, Atul reaches his school 5 minutes late. If he walks at $6 \mathrm{~km} / \mathrm{h}$, he will be 5 minutes early. The distance of Atul's school from his house is

By adding 8 and 5 in numerator and denominator of a fraction it becomes $\frac{2}{3}$. If 4 and 3 are subtracted from and added to numerator and denominator respectively it becomes $\frac{2}{5}$. Find the fraction.

The average of 47 consecutive odd number is 65 then find difference between largest and smallest number.