## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 6 Ratio and Proportion Objective Type Questions

**Mental Maths**

Question 1.

Fill in the blanks:

(i) The simplest form of the ratio \(\frac { 1 }{ 6 }\) : \(\frac { 1 }{ 4 }\) is ………

(ii) 75 cm : 1.25 m = ……..

(iii) If two ratios are equivalent, then the four quantities are said to be in ………

(iv) If 8, x, 48 and 18 are in proportion then the value of x is ………

(v) If the cost of 10 pencils is ₹ 15, then the cost of 6 pencils is ……..

(vi) If a cyclist is travelling at a speed of 15 km/h, then the distance covered by him in 20 minutes is ……..

Solution:

Question 2.

State whether the following statements are true (T) or false (F):

(i) A ratio is always greater than 1.

(ii) Ratio of half an hour to 20 seconds is 30 : 20.

(iii) The ratio 5 : 7 is greater than the ratio 5 : 6.

(iv) If the numbers 3, 5, 12 and x are in proportion then the value of x is 20.

(v) Ratio 3 : 2 and 4 : 5 are equivalent.

Solution:

**Multiple Choice Questions**

Choose the correct answer from the given four options (3 to 14):

Question 3.

A ratio equivalent to 6 : 10 is

(a) 3 : 4

(b) 18 : 30

(c) 12 : 40

(d) 5 : 3

Solution:

Question 4.

A ratio equivalent to the ratio \(\frac { 2 }{ 3 }\) : \(\frac { 3 }{ 4 }\) is

(a) 4 : 6

(b) 8 : 9

(c) 6 : 8

(d) 9 : 8

Solution:

Question 5.

The ratio of 75 mL to 3 litres is

(a) 25 : 1

(b) 40 : 1

(c) 1 : 40

(d) 3 : 200

Solution:

Question 6.

The ratio of the number of sides of a rectangle to the number of edges of a cuboid is

(a) 1 : 2

(b) 1 : 3

(c) 2 : 3

(d) none of these

Solution:

Question 7.

In a class of 35 students, the number of girls is 20. The ratio of number of boys to the number of girls in the class is

(a) 3 : 4

(b) 4 : 3

(c) 7 : 4

(d) 7 : 3

Solution:

Question 8.

The ratio of number of girls to the number of boys in a class is 6 : 7. If there are 21 boys in the class, then the number of girls in the class is

(a) 39

(b) 24

(c) 18

(d) 13

Solution:

Question 9.

Two numbers are in the ratio 3 : 5. If the sum of the numbers is 144, then the largest number is

(a) 48

(b) 54

(c) 72

(d) 90

Solution:

Question 10.

If x, 12, 8 and 32 are in proportion, then x is

(a) 6

(b) 4

(c) 3

(d) 2

Solution:

Question 11.

If 3, 12 and x are in continued proportion, then x is

(a) 4

(b) 6

(c) 16

(d) 48

Solution:

Question 12.

If the weight of 5 bags of sugar is 27 kg, then the weight of one bag of sugar is

(a) 5.4 kg

(b) 5.2 kg

(c) 5.4 kg

(d) 5.6 kg

Solution:

Question 13.

Sonali bought one dozen notebooks for ₹ 66. What did she pay for one notebook?

(a) ₹ 6.50

(b) ₹ 6.60

(c) ₹ 5.60

(d) ₹ 5.50

Solution:

Question 14.

The speed of 90 km/h is equal to

(a) 10 m/sec

(b) 18 m/sec

(c) 25 m/sec

(d) none of these

Solution:

**Value Based Questions**

Question 1.

Sudhanshu divided his property into two parts in the ratio 8 : 5. If the first part is ₹ 1,60,000 and second part is donated to an orphanage, find the amount donated to the orphanage. What values are being promoted?

Solution:

**Higher Order Thinking Skills (HOTS)**

Question 1.

Present ages of Rohit and Mayank are in the ratio 11 : 8. 8 years hence the ratio of their ages will be 5 : 4. Find their present ages.

Solution:

Question 2.

Ratio of length and breadth of a rectangle is 3 : 2. If the length of the rectangle is 5 m more than the breadth, find the perimeter of the rectangle.

Solution: