Introduction to fractions and ratios

Q. A person has money to buy 25 cycles worth Rs. 500 each. How many cycles he will be able to buy if each cycle is costing Rs. 125 more?

1. 18
2. 20
3. 22
4. 24

Q.

How far will a jeep travel in $2$ hours at $20m/s$?

Q.

$45$ is what percent of $360$$?$

1. $12.5\%$

2. $15\%$

3. $15.5\%$

4. $25\%$

Q.

Express

$80$ cm as a percentage of $4$m

Q.

Which of the following are in proportion? (a) $2,3,20,30$ (b) $3,4,15,18$ (c) $1,3,11,22$ (d) $2,5,40,80$

1. Option (a) is correct.

2. Options (b), (c), and (d) are incorrect.

Q. Match the following figures with the fractions represented by the shaded portion.

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

Q. 90 min = of an hour(fraction).

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

Q. I have only Rs 4200 with me. I can buy 10 bats costing me Rs 420 each or 200 books worth Rs 25 each.

1. TRUE
2. FALSE

Q. A badminton player won 6 matches and lost 4. He has won $\frac{1}{3}$ of the total matches played.

1. False
2. True

Q. John has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of sandstone to marble in his collection?

1. 1 : 2
2. 14 : 3
3. 1 : 3
4. 1 : 1

Q. The denominator of a fraction represents the number of parts into which the whole is divided.

1. False
2. True

Q.

Express $\frac{45}{135}$ as a percentage.

1. 33.33%

2. 35%

3. 40%

4. 25%

Q. A ratio is a comparison of two quantities of the same type.

1. \N
2. \N

Q. 24 pipes, all of them of the same size can fill a tank in 112 mins. If 10 pipes are closed, then how much time will it take to fill the tank?

1. $200mins$
2. $192mins$
3. $182mins$
4. $190mins$

Q.

12.5% in fractional form is written as ____.

1. $\frac{1}{2}$
2. $\frac{1}{8}$
3. $\frac{1}{6}$
4. $\frac{1}{12}$

Q.

A group of five students contains 4 boys and 1 girl. Which of the following statements is correct?

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

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

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

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