DELHI POLICE MATHS QUIZ

Janki and Mansi, working separately, can paint a wall in 45 and 72 days respectively. They started working together but Janki left the work 33 days before the completion of the work. In total, how many days did it take to complete the work?

A girl has to cover a distance of $400 \mathrm{~km}$ in 5 hours. He traveled at the speed of $85 \mathrm{~km} / \mathrm{hr}$ for some time and $55 \mathrm{~km} / \mathrm{hr}$ for the rest of the time. For how long did he travel at the higher speed?

A vessel contains 24 litres of milk. 4 litres are withdrawn and replaced by water. The process is repeated a second time. Find the ratio of milk to water in the resulting mixture?

The compound interest compounded semi-annually at a certain rate on a sum of ₹ 1,25,000 at the end of one and a half years is ₹ 15,608. What would be the simple interest on the same sum of money at the same rate of interest for 3 years?

PQRS is a cyclic quadrilateral in a circle with centre $\mathrm{O} . \angle P Q R$ and $\angle P S R$ are in the ratio $11: 7$. If $\mathrm{PQ}=\mathrm{QR}$, then find. $\angle O P Q$

The bowling average of a cricketer was 12.4. He improves his bowling average by $0.2$ points when he takes 5 wickets for 26 runs in his last match. The number of wickets taken by him before the last match was

The sum of two numbers is 36 and their H.C.F. is 4 . How many pairs of such numbers are possible?

Of the total students who appeared in an examination, 60% were boys and the rest were girls. The passing percentage of boys is $45\%$, and the overall pass percentage of students is $58\%$. What is the pass percentage of girls?

The marked price of an article is Rs. 4,450 . If a person earns a profit of $15 \%$ after allowing a discount of $15 \%$, then the cost price (in Rs.) (correct to the nearest integer) of the article is:

$\{40-(90 \div5 \times \overline{16-8}\div 2\div 3)\}=\text { ? }$