DELHI POLICE MATHS QUIZ-52

Let $x$ be the least number of 4 -digits which when divided by $12,15,20$ and 27 leaves, in each case, a remainder $7 .$ What is the sum of the digits of $x$ ?

If $x=1.5$, calculate $x^{2}+2 x+\frac{3}{4}$

The amount obtained by investing a certain sum at $r \%$ p.a. for 4 years at simple interest is equal to the simple interest on the same sum at the same rate for 14 years. What is the value of $r$ ?

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:

A person loses 20%, when he sells a watch for ₹ 2,300. What is his profit percentage if he sells it for ₹ 3,231.50 ?

The sum of two numbers is 14 and the difference between them is 4. What will be the product of those two numbers?

65 of $\frac{11}{13}$ of $\frac{7}{11} \div 35-3[11+\{22 \div(91 \div 13$ of $7+1)\}]$

A can do $33 \frac{1}{3} \%$ of a work in 10 days and B can do $66 \frac{2}{3} \%$ of the same work in 8 days. Both worked together for 8 days. C alone completed the remaining work in 3 days. $A$ and $C$ together will complete $\frac{5}{6}$ part of the original work in how many days:

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 diameter of a circular garden is $140 \mathrm{~m}$. Its area is equal to a rectangular field whose sides are in the ratio $11: 7 .$ The perimeter (in $\mathrm{m}$ ) of the rectangular field is (take $\pi=\frac{22}{7}$ ):