## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 6 Ratio and Proportion Ex 6.2

Question 1.

Which of the following statements are true?

(i) 2.5 : 1.5 :: 7.0 : 4.2

(ii) \(\frac { 1 }{ 2 } :\frac { 1 }{ 3 } =\frac { 1 }{ 3 } :\frac { 1 }{ 4 }\)

(iii) 24 men : 16 men = 33 horses : 22 horses.

Solution:

Question 2.

Check whether the following numbers are in proportion or not:

(i) 18, 10, 9, 5

(ii) 3, 3\(\frac { 1 }{ 2 }\), 4, 4\(\frac { 1 }{ 2 }\)

(iii) 0.1, 0.2, 0.3, 0.6

Solution:

Question 3.

Find x in the following proportions:

(i) x : 4 = 9 : 12

(ii) \(\frac { 1 }{ 13 }\) : x :: \(\frac { 1 }{ 2 }\) : \(\frac { 1 }{ 5 }\)

(iii) 3.6 : 0.4 = x : 0.5

Solution:

Question 4.

Find the fourth proportional to

(i) 42, 12, 7

(ii) \(\frac { 1 }{ 3 }\), \(\frac { 1 }{ 4 }\), \(\frac { 1 }{ 5 }\)

(iii) 3 kg, 12 kg, 15 kg

Solution:

Question 5.

Check whether 7, 49, 343 are in continued proportion or not.

Solution:

Question 6.

Find the third proportional to

(i) 36, 18

(ii) 5\(\frac { 1 }{ 4 }\), 7

(iii) 3.2, 0.8

Solution:

Question 7.

The ratio between the length and width of a rectangular sheet of paper is 7 : 5. If the width of the sheet is 20.5 cm, find its length.

Solution:

Question 8.

The ages of Amit and Archana are in the ratio 4 : 5. If Amit is 4 years 8 months old, find the age of Archana.

Solution: