DELHI POLICE MATHS QUIZ-33

Selina went from her home to town at a speed of $8 \mathrm{~km} / \mathrm{hr}$, but while coming back on the same route her speed was $6 \mathrm{~km} / \mathrm{hr}$. It took her a total of $24 \frac{1}{2}$ hours to go, how far does Selina live from the city?

The value of $\frac{3 \frac{1}{4}-\frac{4}{5} \text { of } \frac{5}{6}}{4 \frac{1}{3} \div \frac{1}{5}-\left(\frac{3}{10}+21 \frac{1}{5}\right)}-\left(2 \frac{2}{3}\right.$ of $\left.1 \frac{1}{2}\right)$ is:

If a seven digit number $53345 x y$ is divisible by 40 , for some possible value of $x$ and $y$, then the one value of $(2 x-5 y)$ is:

In the first 45 overs of a 50 over innings, the run rate was $5.6$ runs per over. What is the required run rate in the remaining overs to reach the target of 290 runs?

Ashmita makes a loss of $20 \%$ by selling a jute bag for Rs.48. What should be the selling price of the jute bag in order to make a profit of $20 \%$.

If ₹$ 10000$ is invested at $20 \%$ per annum, compounded half yearly, then the amount after 18 months will be-

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

The sum of perimeter of a rectangle and a square is $340 \mathrm{~cm}$. If the length and breadth of rectangle is $50 \%$ more and $25 \%$ less than the side of square. What is the length of diagonal of rectangle?

$\frac{\cot 45^{\circ}}{1+\sin 45^{\circ}}+\frac{1+\sin 45^{\circ}}{\cot 45^{\circ}}=?$

The side $B C$ of triangle $A B C$ is produced to $D$. If $A C D=112^{\circ}$ and $B=\frac{3}{4} \angle A$, then find the measure of $B$.