# DELHI POLICE MATHS QUIZ-38

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## Question 1:

Simplify: $7 \frac{1}{2}-\left[2 \frac{1}{4} \div\left\{1 \frac{1}{4}-\frac{1}{2}\left(\frac{3}{2}-\overline{\frac{1}{3}-\frac{1}{6}}\right)\right\}\right]$

## Question 2:

If Radha saves $25 \%$ of her income, if expenditure increases by $20 \%$ and income increases by $29 \%$, then find percentage increase in savings.

## Question 3:

A trader bought a Laptop and mobile for Rs.91,000. He sold Laptop at $40 \%$ profit and mobile at $30 \%$ profit and received equal gain on each article. Find difference between price of Laptop and Mobile.

## Question 4:

The average weight of 6 persons decreases by $2.5 \mathrm{~kg}$ when a new person comes in place of one of them weighing $70 \mathrm{~kg}$. What is the weight (in $\mathrm{kg}$ ) of the new person?

## Question 5:

If speed of a car increases by $5 \mathrm{~km} / \mathrm{hr}$ of its usual speed, it would take $15 \mathrm{~min}$ less time to cover a distance of $90 \mathrm{~km}$. Find speed of the car.

## Question 6:

Ram and Shyam together can do a piece of work in 8 days. But Ram alone can do that work in 14 days, then in how many days will Shyam alone complete that work?

## Question 7:

A sum of money amounts to ₹ 1,113 in 9 years at $9.5 \%$ per annum simple interest. The amount invested initially was:

## Question 8:

The height and slant height of a right circular cone are $24 \mathrm{~cm}$ and $25 \mathrm{~cm}$ respectively. Considering the value of as $\frac{22}{7}$, find the curved surface area of the cone.

## Question 9:

The sides of $\triangle P Q R$,  $P Q$ and $P R$ are produced to the points $\mathrm{S}$ and $\mathrm{T}$, respectively. The bisectors of $\angle S Q R$ and $\angle T R Q$ meet at $U$. If $\angle Q U R=69^{\circ}$ is, then what is the measure of $\angle P$?

## Question 10:

Simplify the following expression: $\cos ^{2} 30^{\circ}+\cos ^{2} 40^{\circ}+\cos ^{2} 50^{\circ}+\cos ^{2} 60^{\circ}$