# CDS MATHEMATICS QUIZ-4

Attempt now to get your rank among 36 students!

## Question 1:

The incomes of A and B are in the ratio 5: 8. If A and B spend ₹ 36,000 and ₹ 60,000, respectively, then the ratio of their savings is 3: 4. What is the savings (in ₹) of B ?

## Question 2:

A pole $23 \mathrm{~m}$ long  reaches a window which is $3 \sqrt{5} \mathrm{~m}$ above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window $4 \sqrt{15} \mathrm{~m}$ high. What is the width (in m) of the street?

## Question 3:

The average of eleven numbers is 80. The average of the first four numbers is 74.5 and that of the next four numbers is 82.5. The nineth number is 6 more than the tenth number, and the tenth number is 6 less than the eleventh number. What is the average of the nineth and eleventh numbers?

## Question 4:

Rashid can complete a job by himself in 15 days while Kausik can do the same work alone in 21 days. If they work together how many days will it take them to complete the work?

## Question 5:

A and B can do a work in 15 days and 25 days, respectively. They worked together for 5 days, after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete the same work?

## Question 6:

The ratio of the market price of wheat and rice is 3: 8 and the ratio of their quantities consumed in a family is 4: 9. What is the ratio of expenditure on wheat and rice?

## Question 7:

A solid metallic cuboid of dimensions $64 \mathrm{~cm} \times 36 \mathrm{~cm} \times 44 \mathrm{~cm}$ is melted and solid balls, each of radius $12 \mathrm{~cm}$, are made from this material. The number of balls will be $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$ :

## Question 8:

What is the sum of the digits of the least number which when divided by 12,16 and 20 leaves the same remainder 6 in each case and it is divisible by 9 ?

## Question 9:

The distance between two stations A and B is 700 km. A train covers the journey from A to B at a speed of 80 km/h and returns back to A with a uniform speed of 65 km/h. The average speed of train during the whole journey, is closest to

## Question 10:

If $a, b, c$ are in GP, where $a>0, b>0, c>0$, then which of the following are correct?

I. $a^2, b^2, c^2$ are in $G P$

II. $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}$ are in $G P$

III. $\sqrt{a}, \sqrt{b}, \sqrt{c}$ are in GP

Select the correct answer using the code given below.