Fractions and Ratios

Q.

Convert the fraction $\frac{3}{5}$ into percent.

Q.

A part or parts of a whole is called ______.

Q.

When 45% is converted to a fraction, what will be the fraction?

1. 1/4

2. 1/8

3. 1/3

4. 1/2

Q.

Four boys and one girl constitute a group of students. Which of the following statements is correct?

1. The fraction of boys is $\frac{4}{5}$ and the ratio of boys to girls is 4:1.

2. The fraction of girls is $\frac{1}{5}$ and the ratio of girls to boys is 1:5.

3. The fraction of boys is $\frac{4}{5}$ and the ratio of girls to boys is 1:5.

4. The fraction of girls is $\frac{1}{4}$ and the ratio of girls to boys is 1:4.

Q. Express 125 $\%$ as a ratio.

Q.

A ratio has no unit.

1. True
2. False

Q.

6 : 5 when expressed as a percentage, is

Q.

A bag contains ₹510 in the form of 50 p, 25 p and 20 p coins in the ratio 2 : 3 : 4. Find the number of coins of each type respectively.

1. 300, 600, 900

2. 400, 600, 800

3. 400, 900, 800

4. 400, 200, 400

Q.

What must be added to each term of the ratio 2 : 3, so that it becomes equal to 4 : 5?

1. 3

2. 2

3. 9

4. 4

Q.

The ratio of 1 dozen to 1 score is 3:5.

1. True
2. False

Q. What is compound variation? Explain it giving an example.

Q.

Express $\frac{17}{20}$ into percents.

Q.

Ravi and Rani started a business and invested money in the ratio $2:3$. After one year the total profit was $Rs.40,000$. What is the share of Ravi in profit?

1. $Rs.24000$
2. $Rs.16000$
3. $Rs.28000$
4. $Rs.20000$

Q. If there are 15 boys and 25 girls in a class, then the ratio of the boys : girls in the class is .

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

Q.

What must be added to each term of the ratio 2 : 3, so that it may become equal to 4 : 5?

1. 3

2. 2

3. 9

4. 4

Q.

Question 101 (i)

Here is a keyboard for a harmonium.
Find the ratio fo white key to black keys on the keyboard.

Q.

Question 84 (iii)

Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose, various shades are tried by mixing containers of blue paint and white paint. In each of the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

If one container has one litre paint and the building requires 105 litres for painting how many containers of each type is required to paint the building by darkest blue shade?

Q.

The ratio of $6$ kg to $400$ g is

1. $10:1$

2. $15:1$

3. $12:1$

4. $6:1$

Q.

A shopkeeper charged Rs.1242 for a geyser which includes $8\%$ tax on it. Find the selling price (without tax) of the geyser.

Q. Twin prime numbers are co-prime numbers. True or false?

Q.

Express the speed $54\mathrm{km}/\mathrm{h}$ in $\mathrm{cm}/\mathrm{s}$

Q.

What must be added to each term of the ratio 2 : 3, so that it becomes equal to 4 : 5?

1. 2

2. 3

3. 9

4. 4

Q.

A boy goes from his house to his friends house with speed u. Finding his friends house door closed, he returns back to his own house with speed v. Then the average speed of the boy is

1. $\frac{u+v}{2}$

2. $\frac{2uv}{u+v}$

3. $\sqrt{uv}$

4. $zero$

Q.

Which of the following pair of ratios are equal?

1. 2:3 and 8:12

2. 2:3 and 8:20

3. 2:3 and 4:12

4. 2:3 and 8:16

Q.

verify whether 223 is a prime number or not

Q.

Find the number when increased by $20\%$ becomes $72?$

Q.

2 years and 4 months can also be expressed as 2 + $\frac{4}{12}$

1. True

2. False

Q.

In a class of $40$ students, $25$ are girls and the remaining are boys. Find the ratio of boys to total students.

Q.

What percent is $\text{175 gm of 2.5 kg?}$

Q.

Convert the following percentages into ratios:

$37.5\%$