ML Aggarwal Ratio and Proportion MCQs Class 6 ICSE Maths Solutions

ML Aggarwal Ratio and Proportion MCQs Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of  MCQs Questions for Ratio and Proportion as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

ML Aggarwal Ratio and Proportion MCQs Class 6 ICSE Maths Solutions

Board ICSE
Publications Avichal Publishig Company (APC)
Subject Maths
Class 6th
Chapter-8 Ratio and Proportion
Writer ML Aggarwal
Book Name Understanding
Topics Solution of MCQs
Edition 2023-2024

Ratio and Proportion MCQs

ML Aggarwal Class 6 ICSE Maths Solutions

Page-169

Mental Maths

Question 1. Fill in the blanks:

(i) In the ratio 3 : 5, the first term is …………. and second term is ………..
(ii) In a ratio, the first term is also called ……….. and second term is also called …….
(iii) If two terms of a ratio have no common factor (except 1), then the ratio is said to be in …….
(iv) To simplify a ratio, we divide the two terms by their …….
(v) The simplest form of the ratio 8 : 12 is ……
(vi) 90 cm : 1.5 m = ……….
(vii) When two ratios are equal, they are said to be in ………
(viii) 4.5 omo is equal to ………

Answer

(i) In the ratio 3 : 5, the first term is 3 and second term is 5.
(ii) In a ratio, the first term is also called antecedent and second term is also called consequent.
(iii) If two terms of a ratio have no common factor (except 1), then the ratio is said to be in simplest form.
(iv) To simplify a ratio, we divide the two terms by their H.C.F.
(v) The simplest form of the ratio 8 : 12 is 2 : 3.
(vi) 90 cm : 1.5 m = 3 : 5.
(vii)When two ratios are equal, they are said to be in proportion.
(viii) 4.5 of ₹40 is equal to ₹1.80.


Ratio and Proportion MCQs

ML Aggarwal Class 6 ICSE Maths Solutions

Page-170

Question 2. State whether the following statements are true (T) or false (F):

(i) Ratio exists only between two quantities of the same kind.
(ii) Ratio has no units.
(iii) If a ≠ b, then the ratio a: bis different from the ratio b : a.
(iv) If we multiply or divide both terms of a ratio by the same non-zero number, then the ratio remains the same.
(v) The ratio a: b is said to be in simplest form if HCF of a and b is 1.

Answer

(i) Ratio exists only between two quantities of the same kind. True
(ii) Ratio has no units. True
(iii) If a ≠ b, then the ratio a : b is different from the ratio b : a. True
(iv) If we multiply or divide both terms of a ratio by the same non-zero number, then the ratio remains the same. True
(v) The ratio a: bis said to be in simplest form if HCF of a and b is 1. True


Ratio and Proportion MCQs

ML Aggarwal Class 6 ICSE Maths Solutions

Page-170

Choose the correct answer from the given four options (3 to 18):

Question 3. A ratio equivalent to 5 : 7 is

(a) 10:21
(b) 15 : 14
(c) 20 : 28
(d) 25 : 49

Answer

5 : 7

= 5/7 x 4/4

= 20/28 = 20 : 28 (c)

Question 4. The ratio 384 : 480 in the simplest form is

(a) 2 : 5
(b) 3 : 5
(c) 5 : 4
(d) 4 : 5

Answer

384 : 480
Dividing by 96, we get

= 384/96 : 480/96

= 4 : 5 (d)

Question 5. The ratio of 20 minutes to 1 hour is

(a) 20 : 1
(b) 1 : 3
(c) 1 : 4
(d) 2 : 5

Answer

20 min : 1 hour
20 min : 60 minutes
= 20 : 60
Divide both terms by

= 20/20 : 60/20 = 1 : 3
⇒ 1 :3 (b)

Question 6. The ratio of 150 g to 2 kg is

(a) 75 : 1
(b) 40 : 3
(c) 3 : 40
(d) 3 : 200

Answer

We have, 150 g to 2 kg
= 150 g : 2 × 1000 g
= 150 g : 2000 g
Divide both terms by 50

= 150/50 : 2000/50
= 3 : 40 (c)

Question 7. In a class of 40 students, 25 students play cricket and the remaining play tennis. The ratio of number of students playing crickets to the number of students playing tennis is

(a) 5 : 8
(b) 5 : 3
(c) 3 : 5
(d) 8 : 5

Answer

Total number of students = 40
Student play cricket = 25
Student play tennis = 40 – 25 = 15
Number of students : Number of students
play cricket play tennis
= 25 : 15
Divide both terms by 5
= 25/15 : 15/5
= 5 : 3 (b)

Question 8. Two numbers are in the ratio 3 : 5. If the sum of numbers is 144, then the smaller number is

(a) 54
(b) 72
(c) 90
(d) 48

Answer

Let any number = x
First number : Second number
3 : 5
Sum of the numbers = 144
⇒ 3x + 5x = 144
⇒ 8x = 144

x = 144/8 = 18
First number = 3 × 18 = 54
Second number = 5 × 18 = 90
∴ The smallest number = 54 (a)

Question 9. The ratio of number of girls to the number of boys in a class is 5 : 4. If there are 25 girls in the class, then the number of boys in the class is

(a) 15
(b) 20
(c) 30
(d) 40

Answer

Let the number of boys in the class = x
According to question,
Girls : Boys = 5 : 4
25 : x = 5 : 4

25/x = 5/4
x = (25 x 4)/5 = 20
Hence number of boys = 20 (b)

Question 10. The ratio of the number of sides of a square and the number of edges of a cube is

(a) 1 : 2
(b) 1 : 3
(c) 1 : 4
(d) 2 : 3

Answer

Number of sides of square = 4
Edges of cube = 12
∴ Ratio = 4 : 12
⇒1 : 3 (b)

Question 11. In shelf, the 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

Let the brown covered books = x
and green covered books =18
Green covered books: Brown covered books
= 2 : 3
18 : x = 2 : 3

18/x = 2/3

= x = (18 x 3)/2

= 9 x 3

= 27 (c)

Question 12. In a box, the ratio of the number of red marbles to that of blue marbles is 4 :7. Which of the following could be the total number of marbles in the box?

(a) 14
(b) 21
(c) 22
(d) 28

Answer

The ratio of red marbles to blue marbles = 4:7
⇒ So total marbles can be
4x + 7x = y
11 x=y
y should be a multiple of 11
∴ Total number of marble in the box are 22 (c)

Question 13. If a, b, c and d are in proportion, then

(a) ab = cd
(b) ad = be
(c) ac = bd
(d) none of these

Answer

a, b, c and d are in proportion, then
⇒ a/b = c/d
∴ ad = be (b)

Question 14. If the weight of 5 bags of rice is 272 kg, then the weight of 1 bag of rice is

(a) 50.4 kg
(b) 54.4 kg
(c) 54.004 kg
(d) 54.04 kg

Answer

Weight of 5 bags of rice = 272 kg
Weight of 1 bag of rice = 272/5 kg
= 54.4 kg (b)

Question 15. If 7 pencils cost ₹35, then the cost of one dozen pencils is

(a) ₹60
(b) ₹70
(c) ₹30
(d) ₹5

Answer

7 pencils cost = ₹35
1 dozen = 12 pencils
Cost of 1 pencil = ₹35/7
∴ Cost of 12 pencils (1 dozen) = (35/7) x 12
= ₹60 (a)


Ratio and Proportion MCQs

ML Aggarwal Class 6 ICSE Maths Solutions

Page-171

Question 16. The ratio 2 : 3 expressed as percentage is

(a) 40%
(b) 60%
(c) 66(2/3)%
(d) 33(1/3)%

Answer

Given, 2 : 3 = 2/3

= (2/3) x 100 %

= 200/3

= 66(2/3)% (c)

Question 17. 0.025 when expressed as percentage is

(a) 250%
(b) 25%
(c) 4%
(d) 2.5%

Answer

0.025 = 25/1000 × 100 = 2.5% (d)

Question 18. In a class, 45% of the students are girls. If there are 18 girls in the class, then the total number of students in the class is

(a) 44
(b) 40
(c) 36
(d) 30

Answer

% of girls in class = 45%
Total number of girls in class = 18
Let total students = x
As per question,
45% of x = 18

45/100 x = 18
x = (18 x 100)/45
∴Total students = 40 students (b)

—  : End of ML Aggarwal Ratio and Proportion MCQs Class 6 ICSE Maths Solutions :–

Return to   ML Aggarwal Maths Solutions for ICSE Class -6

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