Use of Proportions for Situations

Q.

Given : Meena’s height = 140 cm , Gopal’s height = 160 cm .The simplified ratio of Meena and Gopal is :

1. 7:8

2. 8:7

3. 14 : 16

4. 140 : 160

Q.

Height of Raman is 150cm and height of his younger brother is 125cm.

$\frac{\text{Height of Raman}}{\text{Height of his younger brother}}=\frac{5}{6}$

1. False

2. True

Q.

Ram drew a line segment of length 10 cm. He told Arjun that he has scaled down. The scale used by him is 2cm = 100m. What is the actual length of the line segment?

1. 50m

2. 500m

3. 600m

4. 1000m

Q.

Height of Raman is 150cm and height of his younger brother is 125cm.

$\frac{\text{Height of Raman}}{\text{Height of his younger brother}}=\frac{5}{6}$

1. True

2. False

Q.

Then came Ted’s favorite period, GAMES!! But his PT teacher interrupted their game as he had to record the heights and weights of the students in his class.

All the students returned to class after the teacher recorded the readings. He put a question to one of the students to give the ratio of his height which is 150 cm to a girl's height, which is is 1.4 m. What should be his answer?

1. 15/14

2. 150/1.4

3. 1500/14

4. 15/140

Q. There are 20 girls and 15 boys in a class.
(a) What is the ratio of the number of girls to the number of boys?
(b) What is the ratio of the number of girls to the total number of students in the class?
[3 marks]

Q. Find the value of x in each of the following proportion:​
(i) $x:4=6:8$

Q. State whether the given statement is true (T) or false (F):
$15m:40m=35m:65m$

1. True
2. False