# Multiple Choice Questions on Ratio and Proportion | Ratio and Proportion Questions with Solutions PDF

Multiple Choice Questions on Ratio and Proportion are given in this article. The explanation and answers are also included in hidden mode. Try all the Ratio and Proportion Questions with Solutions PDF on your own and then check the answers to know your preparation level. It is easy to find out the complete concept of Ratio and Proportion by practicing all these questions. You can also get MCQ Questions on Ratio and Proportion, worksheets, and concepts of Ratio and Proportion on 6th Grade Math articles.

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## Ratio and Proportion Multiple Choice Questions PDF | Quiz on Ratio and Proportion

Tick (√) the correct answer which is given below. Know all the tricks to solve the given questions. We have given 4 options for every question which looks similar. Find out the correct answer from the given 4 answers.

Question 1.
A ratio equivalent to 6 : 14 is:
(i) 3 : 9; (ii) 6 : 10; (iii) 3 : 7; (iv) 18 : 49

Solution:

Given ratio is 6 : 14
Divide the given ratio by 2.
$$\frac { 6 }{ 2 }$$ : $$\frac { 14 }{ 2 }$$ = 3 : 7

Therefore, the answer is (iii) 3 : 7.

Question 2.
The ratio 245 : 588 in simplest form is:
(i) 5 : 12; (ii) 7 : 12; (iii) 10 : 24; (iv) none of these

Solution:

Given ratio is 245 : 588
Divide the given ratio with 7.
$$\frac { 245 }{ 7 }$$ : $$\frac { 588 }{ 7 }$$ = 35 : 84.
Again divide the 35 : 84 ratio by 7.
$$\frac { 35 }{ 7 }$$ : $$\frac { 84 }{ 7 }$$ = 5 : 12.

Therefore, the answer is (i) 5 : 12.

Question 3.
In a classroom, there are 80 boys and 60 girls. The ratio of boys to girls is:
(i) 3 : 4; (ii) 4 : 3; (iii) 4 : 5; (iv) none of these

Solution:

Given that in a classroom, there are 80 boys and 60 girls. Therefore, the ratio becomes 80 : 60
Divide the given ratio with 10.
$$\frac { 80 }{ 10 }$$ : $$\frac { 60 }{ 10 }$$ = 8 : 6.
Again divide the 8 : 6 ratio by 2.
$$\frac { 8 }{ 2 }$$ : $$\frac { 6 }{ 2 }$$ = 4 : 3.

Therefore, the answer is (ii) 4 : 3.

Question 4.
Two numbers are in the ratio 14 : 18. If the sum of the numbers is 224, then the larger number is:

Solution:

Given that two numbers are in the ratio 14 : 18. If the sum of the numbers is 224.
Let the ratio be x.
So, the numbers become 14x and 18x.
Their addition becomes 14x + 18x = 224.
32x = 224
Divide the above equation by 32.
32x/32 = 224/32
x = 7.

Therefore, the larger number is x = 7.

Question 5.
The ratio of 4.5 m to 30 cm is:
(i) 1 : 15; (ii) 15 : 1; (iii) 10 : 15; (iv) 15 : 10;

Solution:

Given that ratio of 4.5 m to 30 cm.
Convert meters to centimeters.
1 meter = 100 centimeters
4.5 meters = 450 centimeters.
Now, the ratio becomes 450 : 30
Divide the ratio by 30.
450/30 : 30/30
15 : 1

Therefore, the ratio is (ii) 15 : 1.

Question 6.
The ratio of 2 hours to 400 seconds is:
(i) 1 : 36; (ii) 9 : 2; (iii) 1 : 18; (iv) 18 : 1

Solution:

Given that ratio of 2 hours to 400 seconds.
Convert hours to seconds.
1 hour = 60 * 60 seconds = 360 seconds
2 hours = 360 * 2 seconds = 7200 seconds.
Now, the ratio becomes 7200 : 400
Divide the ratio by 400.
7200/400 : 400/400
18 : 1

Therefore, the ratio is (iv) 18 : 1.

Question 7.
In 8 : 14 : : 32 : 56, 14 and 32 are called
(i) extreme terms; (ii) middle terms; (iii) b middle and c extreme term; (iv) none of these

Solution:

If the proportion can be written as- a : b :: c : d, a and d are called extreme terms, and b and c are called middle terms.
The extreme terms are in proportion and the middle terms are in proportion.
So, from the given ratio 8 : 14 : : 32 : 56, 14, and 32 are called middle terms.

Therefore, the answer is (ii) middle terms.

Question 8.
The first, second, and fourth terms of a proportion are 8, 12, and 27 respectively. Then the third term is:
(i) 36; (ii) 28; (iii) 48; (iv) 32

Solution:

Given that The first, second, and fourth terms of a proportion are 8, 12, and 27 respectively.
Let the third number be x.
8 : 12 :: x : 27
We know that the product of mean is equal to the product of extreme.
27 * 8 = 12x
216 = 12x
Now, divide the above equation by 12.
216/12 = 12x/12
18 = x

Therefore, the third number is 18.

Question 9.
If 2, 1, 7, 12 are in proportion, then:
(i) 2 × 1 = 7 × 12; (ii) 2 × 7 = 1 × 12; (iii) 2 × 12 = 1 × 7; (iv) none of these

Solution:

If the proportion can be written as a : b :: c : d, a and d are called extreme terms, and b and c are called middle terms.
The extreme terms are in proportion and the middle terms are in proportion.
a : b :: c : d can also write as a * d = b * c.
Here a = 2, b = 1, c = 7, and d = 12.
So, from the given options, 2 × 12 = 1 × 7 is correct.

Therefore, the answer is (iii) 2 × 12 = 1 × 7.

Question 10.
If a, b and c are in proportion, then:
(i) a : b : : c : a; (ii) a : b : : b : c; (iii) a : b : : c : b; (iv) a : c : : b : c

Solution:

If a, b and c are in proportion, then we can write it as a: b:: b: c

Therefore, the answer is (ii) a: b :: b: c.

Question 11.
35 : 60 is equivalent to:
(i) 70 : 120; (ii) 120 : 70; (iii) 72 : 42; (iv) 42 : 72

Solution:

Given ratio is 35: 60
Multiply the given ratio by 2 on both sides.
35 * 2 : 60 * 2 = 70 : 120

Therefore, the answer is (i) 70: 120.

Question 12.
The length and breadth of a rectangle are in the ratio 5: 2. If the breadth is 9 cm, then the length of the rectangle is:
(i) 14 cm; (ii) 22.5 cm; (iii) 18 cm; (iv) 21 cm

Solution:

Given that the length and breadth of a rectangle are in the ratio 5: 2. If the breadth is 9 cm, then the length of the rectangle is:
Let the length of the rectangle is x.
Then, 5 : 2 :: x : 9
5 * 9 = 2x
45 = 2x
Divide the above equation by 2 on both sides.
45/2 = 2x/2
22.5 = x

Therefore, the length of the rectangle x is (ii) 22.5 cm;.

Question 13.
The value of m, if 2, 16, m, 40 are in proportion is:
(i) 6; (ii) 4; (iii) 7; (iv) 5

Solution:

Given that the value of m, if 2, 16, m, 40 are in proportion.
If the proportion can be written as a : b :: c : d, a and d are called extreme terms, and b and c are called middle terms.
The extreme terms are in proportion and the middle terms are in proportion.
a : b :: c : d can also write as a * d = b * c.
a = 2, b = 16, c = m, and, d = 40.
40 * 2 = 16m
80 = 16m
Divide the above equation by 16 on both sides.
80/16 = 16m
5 = m

Therefore, the value of m is (iv) 5.

Question 14.
The length and width of a field are in the ratio 7 : 4. If the width of the field is 24 m then its length is:
(i) 100 m; (ii) 80 m; (iii) 28 m; (iv) 70 m

Solution:

Given that the length and breadth of a field are in the ratio 7 : 4. If the width of the field is 24 m then its length is:
Let the length of the field is x.
Then, 7 : 4 :: x : 24
7 * 24 = 6x
168 = 6x
Divide the above equation by 6 on both sides.
168/6 = 6x/6
28 = x

Therefore, the length of the field x is (iii) 28 m.

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