# CDS MATHEMATICS QUIZ-8

Attempt now to get your rank among 50 students!

## Question 1:

Three runners are running in a circular track, and they complete one round in 20,30 and 35 minutes respectively. When will they next meet at the starting point?

## Question 2:

In a mixture of 80 litres of a liquid and water, $25 \%$ of the mixture is the liquid. How much water should be added to the mixture so that the liquid becomes $20 \%$ of the mixture?

## Question 3:

One person sold an article at a loss of $30 \%$ if he had sold the article for Rs. 200 more, then he Would have gained $20 \%$. Find the cost price of that article.

## Question 4:

A metal solid cube of edge $24 \mathrm{~cm}$ is melted and made into three small cubes. If the edges of two small cubes are $12 \mathrm{~cm}$ and $16 \mathrm{~cm}$, then what is the surface area of the third small cube?

## Question 5:

A person has to cover a distance $300 \mathrm{~km}$ in 20 hours. If he covers $\frac{7}{10}$ of the distance in $\frac{3}{5}$ of the time, then what should be his speed (in km(hr) to Cover the remaining distance in the remaining time?

## Question 6:

The ratio of marks obtained by Vinod and Basu is $6: 5$. If the combined average of their percentage is $68.75$ and their sum of the marks is 275 , find the total marks for which exam was conducted.

## Question 7:

What is the value of

\begin{aligned} &\sin 24^{\circ} \sin 66^{\circ}-\cos 24^{\circ} \cos 66^{\circ}+ \tan 24^{\circ} \tan 66^{\circ}-\cot 24^{\circ} \cot 66^{\circ} ? \end{aligned}

## Question 8:

Shubham invested Rs. 2250 in a business and after some time Shivam also join him and invested Rs. 2500 . At the end of year Shivam received Rs. 2750 profit out of Rs. 6050 . After how much time did he join the business?

## Question 9:

$A B$ is the diameter of a circle, whose center is $O$. Radius $OP$ is perpendicular to $A B$. Suppose $Q$ is any point on the arc $P B$ then $\angle$AQP is equal to?

## Question 10:

The area of a right angle triangle is 2520 $\mathrm{cm}^{2}$ and its hypotenuse is $106 \mathrm{~cm}$. Then find the perimeter.