Class 8 Maths MCQ Questions Direct and Indirect Proportions with Answers are prepared by the mathematical experts of Sarthaks eConnect supported the newest examination pattern.  We have provided Direct and Inverse Proportions Class 8 MCQ Questions with Answers to assist students understands the concept alright. These Questions are very helpful to attain high marks in board exams.

Students can ask these Maths formulas for Maths Class 8 Direct and Indirect Proportions for better exam preparation and score excellent marks. You will get Important MCQ Questions Class 8 supported NCERT Textbook for class 8 here. we have covered Important Questions on Direct and Inverse Proportion for Class 8 Maths subject all topics. Click below link and start Practice all Important MCQ Questions of Direct and Indirect Proportion Class 8 are given.

Practice MCQ Question for Class 8 Maths chapter-wise

1. 10 meters of cloth cost Rs 1000. What will 4 meters cost?

(a) Rs 400
(b) Rs 800
(c) Rs 200
(d) Rs 100

2. 20 trucks can hold 150 metric tonnes. How much will 12 trucks hold?

(a) 80 metric tonnes
(b) 90 metric tonnes
(c) 60 metric tonnes
(d) 40 metric tonnes

3. If x = 20 and y = 40, then x and y are:

(a) Directly proportional
(b)  Inversely proportional
(c) Neither directly nor inversely proportional
(d) Cannot be determined

4.  If x = 15 and y = 1/30, then x and y are:

(a) Directly proportional
(b)  Inversely proportional
(c) Neither directly nor inversely proportional
(d) Cannot be determined

5. If x and y are directly proportional, then which of the following is correct?

(a) x+y=constant
(b) x-y=constant
(c) xy=constant
(d) x/y=constant

6. If x∝y and x₁=5,y₁=210 and x₂ = 2, then find y₂?

(a) 200
(b) 84
(c) 99
(d) 70

7. If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2500 grams?

(a) 750
(b) 800
(c) 850
(d) 950

8. If 400 Kg of tar costs 8000₹, then find the cost of 160 kg of tar?

(a) 1200₹ 
(b) 2400₹ 
(c) 3200₹ 
(d) 4200₹

9. If x and y are inversely proportional, then which one is true?

(a) x₁/y₁ = x₂/y₂
(b) x₁ /x₂ = y₁/y₂
(c) x₁ /x₂ = y₂/y₁
(d) x₁ .x₂ = y₁.y₂

10. 6 pipes are required to fill a tank in 1 hour 20 minutes. If we use 5 such types of pipes, how much time it will take to fill the tank?

(a) 120 minutes
(b) 96 minutes
(c) 80 minutes
(d) 85 minutes

11. If 12 workers can build a wall in 50 hours, how many workers will be required to do the same work in 40 hours?

(a) 10
(b) 13
(c) 14
(d) 15

12. A man walks 20 km in 5 hours. How much time it will take for him to walk 32 km?

(a) 3 hours
(b) 4 hours
(c) 6 hours
(d) 8 hours

13. If 300 Kg of coal cost 6000₹, then find the cost of 120 kg of coal?

(a) 1200₹
(b) 2400₹
(c) 3200₹
(d) 4200₹

14. Manvi types 200 words in 30 minutes. How many words she will type in 12 minutes?

(a) 100
(b) 80
(c) 60
(d) 50

15. If it takes 40 days for 120 men to complete a work, how long will it take for 80 men to complete the same work?

(a) 50 days
(b) 60 days
(c) 80 days
(d) 100 days

16. If 16 labours can construct a road in 40 hours, how many labours will be required to construct the same road in 20 hours?

(a) 20
(b) 16
(c) 30
(d) 32

17. A car takes 18 hours to ride 720 kilometers. Time taken by the car to travel 360 kilometers is:

(a) 10 hours
(b) 11 hours
(c) 9 hours
(d) 16 hourstt

18. If x = ky and when y = 4, x = 8 then k =

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

19. The scale of a map is given as 1: 300. Two cities are 4 km apart on the map. The actual distance between them is:

(a) 1000 km
(b) 1100 km
(c) 1200 km
(d) 1300 km

20. A garrison of 500 men had provision for 27 days. After 3 days a reinforcement of 300 men arrived. For how many more days will the remaining food last now?

(a) 15
(b) 16
(c) 12
(d) 13

21. When one quantity is increased, the other quantity is also increased. This proportion is called _______

(a) Kally proportion
(b) Direct proportion
(c) Inverse proportion
(d) None of these

22. A van covers 432 km with 36 liters of diesel. How much distance would it cover with 25 litres of diesel?

(a) 200 km
(b) 300 km
(c) 100 km
(d) 350 km

23. A journey by bus takes 45 minutes at 40 km/hour. How fast must a car go to undertake the same journey in 25 minutes?

(a) 36 km/h
(b) 48 km/h
(c) 72 km/h
(d) None of these

24. If the cost of 48 bags of paddy is Rs. 16800, then cost of 36 bags of paddy is

(a) Rs. 12000
(b) Rs. 16000
(c) Rs. 12600
(d) None of these

25. Priya types 160 words in 40 minutes. How many words she will type in 12 minutes?

(a) 100
(b) 48
(c) 70
(d) 50

Answer:

 1. Answer:  (a) Rs 400

Explanation: \(\frac{10}{1000}=\frac{4}{x}\)

x = 400

2. Answer:  (b) 90 metric tonnes

Explanation: \(\frac{20}{150}=\frac{12}{x}\)

x = 90

3. Answer:  (a) Directly proportional

Explanation: x = 20 and y = 40

Clearly, 40 = 2 x 20

y=2x

y∝x, where 2 is the proportionality constant.

4. Answer: (b)  Inversely proportional

Explanation: x = 15, y = 1/30

1/30 = 1/(2 × 15)

y = 1/2x

Hence, y ∝ 1/x, where 1/2 is the proportionality constant.

5. Answer:  (d) x/y=constant

Explanation: x∝y

x=ky

k=x/y, where k is a constant.

6. Answer: (b) 84

Explanation: x∝y

x=ky

x/y=k

x₁/y₁ = x₂/y₂

5/210 = 2/y₂

y₂ = 84

7. Answer: (a) 750

Explanation: For 12 sheets, the weight of the paper is 40 grams

Let a number of sheets for 2500 is x.

Using direct proportion concept:

12/40 = x/2500

x=(12×2500)/40

x=750

8. Answer: (c) 3200₹

Explanation: total weight =400kg

cost of 1 kg = 8000/400

= 20rupees

160kg = 20×160

= 32000rupees

9. Answer: (c) x₁ /x₂ = y₂/y₁

Explanation: ∝1/y

x=k(1/y)

xy=k

x₁y1=x₂y₂

x₁/x₂=y₂/y₁

10. Answer:  (b) 96 minutes

Explanation: For 6 pipes, it takes 1 hour 20 minutes

1 hour 20 minutes = 60+20 = 80 minutes

For 5 pipes, let the time taken be x.

This is inverse proportion case:

80 × 6 = x × 5

x = 480/5 

= 96

11. Answer:  (d) 15

Explanation: 12 × 50 = x × 40

x = (12×50)/40 

= 15

12. Answer:  (d) 8

Explanation: A man walks 20 km in → 5 hours

That means it will take more time to walk 32 km. This is the case of direct proportion. 

20/5 = 32/x

x = 32/4

= 8

13. Answer: (b) 2400₹

Explanation: total weight =300kg

cost of 1 kg = 6000/300

=20rupees

120kg = 20×120

= 2400rupees

14. Answer: (b) 80

Explanation: 30/200 = 12/x

x = 12 x 200/30

x = 80

15. Answer: (b) 60 days

Explanation: 40 × 120 = 80 × x 

⇒ x = 60

16. Answer: (d) 32

Explanation: 16 × 40 = x × 20

x = (16 × 40)/20

 = 32

17. Answer: (c) 9 hours

Explanation: 720/18 = 360/x

x = 9 hours

18. Answer: (b) 2

Explanation: 8 = 4k 

⇒ k = 2

19. Answer: (c) 1200 km

Explanation: 1 : 300 = x : y

1/300 = 4/y

y = 4 x 300 = 1200

Hence, the distance between the two cities is 1200 km.

20. Answer: (a) 15

Explanation: Let's remaining food will last for x days. 500 men had provisions for (27−3)=24 days.

 (500+300)  men had provisions for x  days. More men, less days

∴ 800:500:: 24:x

800 × x = 500 × 24

\(x=\frac{500\times24}{800}\)

= 15

21. Answer: (b) Direct proportion

Explanation: When two quantities X and Y increase together or decrease together, they are said to be directly proportional or they are in direct proportion with each other. It is also known as a direct variation.

22. Answer: (b) 300 km

Explanation:In 36 litre of diesel a van cover 432 km 

In 1 litre of diesel a van cover 432/36 =12 km

In 25 litre of diesel a van cover 12×25=300 km

23. Answer: (c) 72 km/h

Explanation: Distance covered by bus in 45 minutes with speed of 40 km/h = \(40\times\frac{45}{60}\) [∵speed= 
Distance/Time] = 30 km.

the speed that can be to covers the same journey in 25 minutes = \(\frac{30}{\frac{25}{60}}=\frac{30\times60}{25} km/h\) = 72 km/h

24. Answer:  (c) Rs. 12600

Explanation: Cost of 48 bags = Rs.16800

Cost of 1 bag = Rs. 16800/48 = Rs 3500

Cost of 36 bags = Rs.3500 ×36 = Rs.12600

25. Answer: (b) 48

Explanation:40/160 = 12/x

x = 12 x 160/40

x = 48

Click here Practice MCQ Question for Direct and Indirect Proportions Class 8