UP POLICE MATHS QUIZ-13

If the diameter of the base of a cone is $18 \mathrm{~cm}$ and its curved surface area is $424 \frac{2}{7} \mathrm{~cm}^{2}$, then its height will be: $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

A loan is returned in two equal yearly instalments of Rs.5,808. What is the total amount of the loan if the rate of compound interest, compounded annually, is 10 % per annum?

The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes $14: 9 .$

A train covers a distance of 108 km at a certain speed. If its speed is increased by 18 km/ h, it would take 18 minutes less to cover the same distance. What is the original speed (in km/h) of the train?

X is 60% more efficient than Y, and Y alone can do a work in 80 days. Working together, X and Y will complete 52% of the same work in

$72 \div[27-\{35-(42-45 \div 9 \times 2)\}]=\text { ? }$

An item is sold at a fixed price. Had it been sold at $2 / 3$ of the fixed price, there would have been a $10 \%$ loss. How much profit will be received if the item is sold at fixed price?

A and B both spend 30% of their income together which is equal to Rs. 26400. If income of A is 20% more than that of B, then find the income of B (in Rs.)?

When $x$ is added to each of $6,12,18$ and 28, the numbers obtained in this sequence are in a proportion. What will be the value of $(5 x-8):(x+4)$?