NCERT Exemplar Solutions - Class 6 - Mathematics - Unit 8: Ratio & Proportion
Multiple Choice Questions

In questions 1 to 10, out of the four options, only one is correct. Write the correct answer.

Quick Links to Questions

Q. 1
Q. 2
Q. 3
Q. 4
Q. 5
Q. 6
Q. 7
Q. 8
Q. 9
Q. 10

Question. 1

1. The ratio of 8 books to 20 books is

(A)

2 : 5

(B)

5 : 2

(C)

4 : 5

(D)

5 : 4

Answer:
A

Step by Step Solution

\(8:20 = \dfrac{8}{20} = \dfrac{2}{5} = 2:5\).

Question. 2

2. The ratio of the number of sides of a square to the number of edges of a cube is

(A)

1 : 2

(B)

3 : 2

(C)

4 : 1

(D)

1 : 3

Answer:
D

Step by Step Solution

Square has \(4\) sides; cube has \(12\) edges. Ratio \(= 4:12 = 1:3\).

Question. 3

3. A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is

(A)

1 : 2

(B)

1 : 3

(C)

1 : 4

(D)

1 : 8

Answer:
D

Step by Step Solution

Convert length: \(1.8\,\text{m}=180\,\text{cm}\). Perimeter \(=2(l+w)=2(180+60)=480\,\text{cm}\). Ratio \(=60:480=1:8\).

Question. 4

4. Neelam's annual income is Rs. 288000. Her annual savings amount to Rs. 36000. The ratio of her savings to her expenditure is

(A)

1 : 8

(B)

1 : 7

(C)

1 : 6

(D)

1 : 5

Answer:
B

Step by Step Solution

Expenditure \(=288000-36000=252000\). Ratio savings : expenditure \(=36000:252000=1:7\).

Question. 5

5. Mathematics textbook for Class VI has 320 pages. The chapter ‘symmetry’ runs from page 261 to page 272. The ratio of the number of pages of this chapter to the total number of pages of the book is

(A)

11 : 320

(B)

3 : 40

(C)

3 : 80

(D)

272 : 320

Answer:
C

Step by Step Solution

Pages in chapter (inclusive) \(=272-261+1=12\). Ratio \(=12:320=\dfrac{12}{320}=\dfrac{3}{80}=3:80\).

Question. 6

6. In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?

(A)

18

(B)

19

(C)

21

(D)

22

Answer:
D

Step by Step Solution

Total \(=7k+4k=11k\), so it must be a multiple of 11. Among the options, only \(22=11\times2\).

Question. 7

7. On a shelf, books with green cover and that with brown cover are in the ratio 2 : 3. If there are 18 books with green cover, then the number of books with brown cover is

(A)

12

(B)

24

(C)

27

(D)

36

Answer:
C

Step by Step Solution

Let common factor be \(k\). Green \(=2k=18\Rightarrow k=9\). Brown \(=3k=27\).

Question. 8

8. The greatest ratio among the ratios 2 : 3, 5 : 8, 75 : 121 and 40 : 25 is

(A)

2 : 3

(B)

5 : 8

(C)

75 : 121

(D)

40 : 25

Answer:
D

Step by Step Solution

Compare values: \(\tfrac{2}{3}\approx0.667\), \(\tfrac{5}{8}=0.625\), \(\tfrac{75}{121}\approx0.62\), \(\tfrac{40}{25}=1.6\). Greatest is \(40:25\).

Question. 9

9. There are ‘b’ boys and ‘g’ girls in a class. The ratio of the number of boys to the total number of students in the class is:

(A)

\(\dfrac{b}{b+g}\)

(B)

\(\dfrac{g}{b+g}\)

(C)

\(\dfrac{b}{g}\)

(D)

\(\dfrac{b+g}{b}\)

Answer:
A

Step by Step Solution

Total students \(=b+g\). Required ratio boys : total \(= \dfrac{b}{b+g}\).

Question. 10

10. If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then the ratio of the distances travelled by them in one hour is

(A)

1 : 2

(B)

4 : 5

(C)

5 : 8

(D)

8 : 5

Answer:
C

Step by Step Solution

Bus in 1 h: \(160/4=40\,\text{km}\). Train in 1 h: \(320/5=64\,\text{km}\). Ratio \(=40:64=5:8\).

Disclaimer:The questions are taken from NCERT Exemplar, which is the copyright of NCERT. The solutions provided here are prepared independently for educational purposes only. This material is not an official NCERT publication.