Ratio and Proportion

Q.

A bag contains 155 Rupees in the form of 1 rupee, 50 Paisa, a and 10 Paisa coins in the ratio of 3:5:7 . Find the number of each type of coins

Q. If the cost of $20$ books is $₹180$, then how much does $15$ books cost?

1. $₹135$
2. $₹95$
3. $₹125$
4. $₹160$

Q.

There is a narrow rectangular plot, reserved for a school in Mahuli village . The length and breadth of the plot are in the ratio 11:4 .At the rate Rs .100 per m it will cost the village panchayat Rs 75, 000 to fence the plot . What are the dimensions of the plot ?

Q. A mother’s age is six times her daughter’s age. Four years from now, the age of the mother will be four times her daughter’s age. The present age (in years) of the mother and the daughter respectively are ___.

1. 60 years, 10 years
2. 36 years, 6 years
3. 30 years, 5 years
4. 24 years, 4 years

Q. Find the best buy of the following purchase:
Bhaskar buy 1 $\frac{1}{2}$ dozen of eggs for Rupees 81 and Aruna buy 15 eggs for Rupees 64.5?

1. best buy of purchase by Bhaskar
2. best buy of purchase by aruna
3. Both A & B
4. None of the above

Q. 12 painters can paint a wall of 180 m long in 3 days. How many painters are required to paint a 200 m long wall in 5 days?

1. $18$
2. $24$
3. $20$
4. $8$

Q. . A motorboat covers a distance of 16 km upstream and 24 km downstream in 6 hours. In the same time it covers a distance of 12 km upstream and 36 km downstream. Find the speed of the boat in still water and that of the stream.

Q.

The number of boys and girls in a class are in the ratio 7 is to 5 the number of boys is 8 more than the number of girls. what is the total class strength.

Q. A desk's length is 20 cm and breadth is 15 cm. Find the ratio of its length to its breadth.

1. 1:4
2. 8:13
3. 3:4
4. 4:3

Q. A can do a piece of work in 9 days working 8 hours per day and B can do it in 6 days working 9 hours per day. If they will work together for 9 hours a day, then they will complete the work in

1. 5 days
2. 7 days
3. $7\frac{2}{3}\text{days}$
4. $3\frac{3}{7}\text{days}$

Q.

Convert - 90 km/h into m/sec

And 15m/sec into km/hr.

Q. $△\text{ABC}\sim \Delta \text{XYZ and the ratio of the}$$\text{corresponding sides of}\Delta \text{XYZ}\text{and}\Delta \text{ABC}$ $\text{is 3 : 1. Find the measure of sides XY, YZ}$
$\text{and ZX respectively.}$

1. 36 cm, 27 cm, and 55 cm
2. 36 cm, 27 cm, and 45 cm
3. 36 cm, 21 cm, and 45 cm
4. 36 cm, 33 cm, and 45 cm

Q.

There is a narrow rectangular plot reserved for a school in mahuli village. The length and the breadth of plot are in the ratio of $11:4$. At the rate $₹100$ per metre, it will cost the village panchayat $₹75000$ to fence the plot. What are the dimensions of the plot?

Q. Which one of the following numbers lies between $\frac{5}{7}$ and $\frac{4}{9}$?

1. $\frac{29}{63}$
2. $\frac{46}{63}$
3. $\frac{19}{63}$
4. $\frac{49}{63}$

Q. Which of the following is (are) not equal to ${\left\{{\left(\frac{5}{6}\right)}^{\frac{1}{5}}\right\}}^{\frac{-1}{6}}$

Q. A sum of money doubles itself at CI in 6 yrs. In how many years it becomes 16 times of itself ?

Q.

The number of boys and girls in a class is in the ratio $7:5$. The number of boys is 8 more than the number of girls. What is the total class strength?

Q.
Sara has designed the blades of a windmill, as shown in the diagram above. Find the total area covered by the blades of the windmill.

1. 36 sq. in
2. 120 sq. in
3. 84 sq. in
4. 96 sq. in

Q. The value of a share is $\$10.$ It rises steadily and reaches $\$40$ in $3$ weeks. If the weekly value of the share declines at the same rate as it increased, what will the equation for the decline in the weekly value of the share be?

1. $y=-10x+10$
2. $y=10x+30$
3. $y=10x+70$
4. $y=-10x+70$

Q.

$\text{A}$ and $\text{B}$ can do a piece of work in $20$ days and $\text{B}$ in ​$15$ days. They work together for $2$ days and then $\text{A}$ goes away. In how many days will $\text{B}$ finish the remaining work?​

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Q. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

1. $9\frac{1}{5}$
2. $9\frac{3}{5}$
3. 10
4. $9\frac{2}{5}$

Q. Pranay walks three times faster than Anu. Together they walk 1000 yd. So, the distance covered by Pranay is 250 yd.

1. True
2. False

Q. 5/9 of the population of a town are males. 60% of the males are married to females of the same population. find the % of unmarried females in the total population

Q.
Sara has designed the blades of a windmill, as shown in the diagram above. Find the total area covered by the blades of the windmill.

1. 36 sq. cm
2. 120 sq. cm
3. 96 sq. cm
4. 84 sq. cm

Q. A scientist observes that the planted trees grow at a rate inversely proportional to their height. If the original height of the trees were as given in the chart, find their average growth rate.


Assume that the growth rate and height are related in the form of
$y=\frac{1}{x}$

1. $0.32$
2. $0.25$
3. $0.35$
4. $0.22$

Q. The third proportion to $(x^2-y^2)$ and $(x-y)$ is

1. $x-y$
2. $\frac{x+y}{x-y}$
3. $\frac{x-y}{x+y}$
4. $(x+y)$

Q. Certain number of persons can complete a work in 100 days. If 10 persons were less, it would have taken 10 days more for the work to be completed. Number of persons in the beginning is

1. 100
2. 90
3. 110
4. None of these

Q.

how to convert 63km/hr to m/s

Q.

Find 5 rational numbers between x and I x I where x = - 5/11

Q.

If 40 bags of cotton costs ₹ 2, 200, then how much would 25 bags of cotton cost?

1. ₹ 1, 875

2. ₹ 1, 375

3. ₹ 1, 275

4. ₹ 2, 025