DELHI POLICE MATHS QUIZ-34

In the given figure, O is the centre of the circle and $\angle POQ=58^{\circ}$ . What is the measure (in degrees) of $\angle \mathrm{PRQ}$ ?

The sides of a triangular park are 60 m, 297 m and 303 m. Its area is equal to the area of a square-shaped garden. What is the perimeter (in m) of the garden?

A sum becomes Rs. 1,352 in 2 years at $4 \%$ per annum compound interest. The sum is

Simplify the following expression

$2-\left[2 \frac{1}{2} \times\left(\frac{-2}{3}\right)-5\left\{\frac{1}{5}-\left(\frac{3}{5}-\frac{7}{10}\right\}\right]\right.$

When a number is divided by 156 it gives remainder 29 . If the same number is divided by 13 find the remainder.

Two candidates are contesting in an election. All votes are valid votes. A candidate who gets 38% of votes is rejected by 28,800 votes. The total number of votes polled is:

A trade had $4940 \mathrm{~kg}$ of wheat. He sold a part of it at $12 \%$ profit and the rest at $7 \%$ loss. If he made a profit of $8 \frac{1}{2} \%$ on the whole transaction then what quantity (in $\mathrm{kg}$ ) of wheat did he sell at $7 \%$ loss?

The average monthly expenditure of a family is Rs. 12,000 for the first 4 months, Rs.15,000 for the next 3 months, and Rs.17,000 for the last 5 months. If the family saves Rs. $1,52,000$ throughout the year, then the average monthly income of the family is:

If $A, B$ and $C$ invested $R s 47,000$ for a business. If $A$ subscribe Rs 7,000 more than B and B Rs 5,000 more than C, then out of profit Rs 4,700, C receives?

In $\triangle A B C$, D and $\mathrm{E}$ are the points on sides $\mathrm{AB}$ and $\mathrm{AC}$, respectively such that $\angle A D E=\angle B$. If $A D=7 \mathrm{~cm}, B D=5 \mathrm{~cm}$ and $\mathrm{BC}=9 \mathrm{~cm}$, then $\mathrm{DE}$ (in $\mathrm{cm}$ ) is equal to: