DELHI POLICE MATHS QUIZ-57

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Question 1:

The length of the minute hand of a clock is $10.5 \mathrm{~cm}$. What is the area (in $\mathrm{cm}^{2}$ ) swept by the minute hand in 10 minutes?

$\left(\right.$ Use $\left.\pi=\frac{22}{7}\right)$

Question 2:

10 men can finish a piece of work in 10 days, whereas it takes 12 women to finish it in 10 days. If 8 men and 6 women undertake to complete the work, then in how many days will they complete it?

Question 3:

An amount of ₹ 43,892 is lent to each of two persons for 3 years. One at the rate of $30 \%$ simple interest and the other at the rate of $30 \%$ compound interest, compounded annually. By what percentage will the simple interest be less than the compound interest received in this 3 -year duration (correct to one decimal place)?

Question 4:

The radii of a cylinder and a cone are in the ratio $1: 3$, and the height of the cylinder is $1.5$ times the slant height of the cone. What is the ratio of the curved surface areas of the cylinder and the cone?

Question 5:

A dealer sells an article by allowing a $20 \%$ discount on its marked price and gains $25 \%$. If the cost price of the article is increased by $10 \%$, how much discount percentage should he allow now on the same marked price so as to earn the same percentage of profit as before?

Question 6:

In an election, the votes cast for two candidates are in the ratio 3 : 10. If all votes are valid votes and if the successful candidates received 156200 votes, then the total votes polled are:

Question 7:

A train covers some part of a distance of  $560$ with a speed of $40 \mathrm{~km} / \mathrm{h}$ and the remaining part $160 \mathrm{~km} / \mathrm{h}$ in 9 hours and 30 minutes.  What is the total distance (in $\mathrm{km}$) covered by the train at the speed of $40 \mathrm{~km} / \mathrm{h}$?

Question 8:

What is the least number which when divided by 12,21 and 35 leaves the same remainder 2 ?

Question 9:

The value of $\frac{5.75+\frac{5}{7} \text { of } 28-4.5}{\frac{3}{4} \text { of }(15.8-3.4)+5 \times 2.39}$ is:

Question 10:

Shalini saves one-third of her income. If her income increases by $x\%$ and expenses by $15\%$, then her savings increases by $21\%$. find the value of $x$.