DELHI POLICE MATHS QUIZ-34

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

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 $4\mathrm{\%}$ per annum compound interest. The sum is

Simplify the following expression

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

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 $12\mathrm{\%}$ profit and the rest at $7\mathrm{\%}$ loss. If he made a profit of $8\frac{1}{2}\mathrm{\%}$ on the whole transaction then what quantity (in $\mathrm{kg}$ ) of wheat did he sell at $7\mathrm{\%}$ 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 $Rs47,000$ 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 $\mathrm{△}ABC$, D and $\mathrm{E}$ are the points on sides $\mathrm{AB}$ and $\mathrm{AC}$, respectively such that $\mathrm{\angle }ADE=\mathrm{\angle }B$. If $AD=7\mathrm{cm},BD=5\mathrm{cm}$ and $\mathrm{BC}=9\mathrm{cm}$, then $\mathrm{DE}$ (in $\mathrm{cm}$ ) is equal to: