DELHI POLICE MATHS QUIZ-46

In an examination, Radha scored $20 \%$ of marks and failed by 10 marks. Seeta scored $30 \%$ of marks, which is 20 marks more than the pass mark. The total marks of the examination are:

A person travelled a distance of $60 \mathrm{~km}$ and then returned to the starting point. The time taken by him for the return journey was $\frac{1}{2}$ hour more than the time taken for the outward journey, and the speed during the return journey was 10 $\mathrm{km} / \mathrm{h}$ less than that during the outward journey. His speed during the outward journey (in $\mathrm{km} / \mathrm{h}$ ) was:

An article is sold at a discount of 28% on its marked price. If the cost price of the article is ₹ 1,080, and there is a profit of 20%, then what is the marked price of the article?

In a division operation, the divisor is 8 times the quotient and 9 times the remainder. If the remainder is 24, what will be the dividend?

A certain number of students from school A appeared in an examination and $65 \%$ of them passed. $100 \%$ more students than those in school A, appeared in the same examination from school B. If $75 \%$ of the total students that appeared from schools A and B passed, then what is the percentage of students who failed from school B?

$\mathrm{A}$ and $\mathrm{B}$ started simultaneously towards each other from places $\mathrm{X}$ and $\mathrm{Y}$, respectively. After meeting at point $M$ on the way, $\mathrm{A}$ and $\mathrm{B}$ took $3.2$ hours and $7.2$ hours, to reach $\mathrm{Y}$ and $\mathrm{X}$, respectively. The time (in hours) taken by them to reach point $M$ was:

The total amount (in ₹) on ₹18,000 at $10 \%$ per annum for $1.5$ years, compounded half-yearly, is:

A deep well $6 \frac{1}{2} \mathrm{~m}$ with inner radius $4 \mathrm{~m}$ was dug. The soil from its excavation is spread evenly to form an embankment about $5 \mathrm{~m}$ wide. What will be the height of the embankment (in $\mathrm{m}$)?

Two numbers $\mathrm{P}$ and $Q$ are such that the sum of $2 \%$ of $P$ and $2 \%$ of $Q$ is two-third of the sum of $2 \%$ of $P$ and $6 \%$ of $Q$. The ratio of 2 times of $P$ to 5 times of $Q$ is:

$\mathrm{A}$ and $\mathrm{B}$ can do a piece of work in 12 days and 20 days respectively. They both work together for 6 days. The remaining work is completed by $C$ alone in 12 days. In how many days will $A$ and $C$ together complete the $\frac{2}{3}$ part of the work?