 Check the below Online Education NCERT MCQ Questions for Class 8 Maths Chapter 13 Direct and Inverse Proportions with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Direct and Inverse Proportions Class 8 Maths MCQs Questions with Answers to help students understand the concept very well. https://ncertmcq.com/mcq-questions-for-class-8-maths-with-answers/

Students can also refer to NCERT Solutions for Class 8 Maths Chapter 13 Direct and Indirect Proportions for better exam preparation and score more marks.

## Online Education for Direct and Inverse Proportions Class 8 MCQs Questions with Answers

Direct And Inverse Proportion Class 8 MCQ Question 1.
10 metres of cloth cost Rs 1000. What will 4 metres cost ?
(a) Rs 400
(b) Rs 800
(c) Rs 200
(d) Rs 100.

Explanation:
$$\frac{10}{1000}$$ = $$\frac{4}{?}$$ ⇒ ? = 400

Direct And Inverse Variation Class 8 MCQ Question 2.
15 books weigh 6 kg. What will 6 books weigh ?
(a) 1.2 kg
(b) 2.4 kg
(c) 3.8 kg
(d) 3 kg.

Explanation:
$$\frac{15}{6}$$ = $$\frac{6}{?}$$ ⇒ ? = 2.4

MCQ On Direct And Inverse Proportion Class 8 Question 3.
A horse eats 18 kg of com in 12 days ? How much does he eat in 9 days ?
(a) 11.5 kg
(b) 12.5 kg
(c) 13.5 kg
(d) 14.5 kg.

Explanation:
$$\frac{12}{18}$$ = $$\frac{9}{?}$$ ⇒ ? = $$\frac{18×9}{12}$$ = 13.5

MCQ Questions For Class 8 Maths Direct And Inverse Proportion Question 4.
8 g of sandal wood cost Rs 40. What will 10 g cost ?
(a) Rs 30
(b) Rs 36
(c) Rs 48
(d) Rs 50.

Explanation:
$$\frac{8}{10}$$ = $$\frac{10}{?}$$ ⇒ ? = 50

Class 8 Direct And Inverse Proportion MCQ Question 5.
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.

Explanation:
$$\frac{20}{150}$$ = $$\frac{12}{?}$$ ⇒ ? = 90

Class 8 Maths Chapter 13 MCQ Question 6.
120 copies of a book cost Rs 600. What will 400 copies cost ?
(a) Rs 1000
(b) Rs 2000
(c) Rs 3000
(d) Rs 2400.

Explanation:
$$\frac{120}{600}$$ = $$\frac{400}{?}$$ ⇒ ? = 2000

Direct And Inverse Proportion MCQ Question 7.
The rent of 7 hectares is Rs 875. What is the rent of 16 hectares ?
(a) Rs 2000
(b) Rs 1500
(c) Rs 1600
(d) Rs 1200.

Explanation:
$$\frac{7}{875}$$ = $$\frac{16}{?}$$ ⇒ ? = $$\frac{875×16}{7}$$ = 2000

Direct And Inverse Proportion MCQ Class 8 Question 8.
A boy runs 1 km in 10 minutes. How long will he take to ran 600 m ?
(a) 2 minutes
(b) 3 minutes
(c) 4 minutes
(d) 6 minutes.

Explanation:
$$\frac{1000}{10}$$ = $$\frac{600}{?}$$ ⇒ ? = 6

Class 8 Maths Direct And Inverse Proportion MCQ Question 9.
A shot travels 90 m in 1 second. How long will it take to go 225 m ?
(a) 2 seconds
(b) 2.5 seconds
(c) 4 seconds
(d) 3.5 seconds.

Explanation:
$$\frac{90}{1}$$ = $$\frac{225}{?}$$ ⇒ ? = 2.5

Ch 13 Maths Class 8 MCQ Question 10.
3 knives cost Rs 63. What will 17 knives cost ?
(a) Rs 357
(b) Rs 375
(c) Rs 537
(d) Rs 573.

Explanation:
$$\frac{3}{63}$$ = $$\frac{17}{?}$$ ⇒ ? = 357

MCQ Questions For Class 8 Maths Chapter 13 Question 11.
15 men can mow 40 hectares of land in 1 day. How much will 6 men mow in 1 day ?
(a) 16 hectares
(b) 12 hectares
(c) 20 hectares
(d) 24 hectares.

Explanation:
$$\frac{15}{40}$$ = $$\frac{6}{?}$$ ⇒ ? = $$\frac{40×6}{15}$$ = 16

Direct Inverse Proportion Class 8 MCQ Question 12.
A man walks 20 km in 5 hours. How long would he take in walking 32 km ?
(a) 3 hours
(b) 4 hours
(c) 6 hours
(d) 8 hours.

Explanation:
$$\frac{20}{5}$$ = $$\frac{32}{?}$$ ⇒ ? = 8

MCQ On Direct And Inverse Variation Class 8 Question 13.
What is the cost of 50 sticks at Rs 24 per score ?
(a) Rs 30
(b) Rs 40
(c) Rs 50
(d) Rs 60.

Explanation:
$$\frac{20}{24}$$ = $$\frac{50}{?}$$ ⇒ ? = 60

Class 8 Maths Ch 13 MCQ Question 14.
A train travels 60 km in 1 hour. How long will it take to go 150 km ?
(a) 2 hours
(b) 3 hours
(c) 2.5 hours
(d) 4 hours.

Explanation:
$$\frac{60}{1}$$ = $$\frac{150}{?}$$ ⇒ ? = 2.5

Question 15.
If 3 quintals of coal cost Rs 6000, what is the cost of 120 kg ?
(a) Rs 1200
(b) Rs 2400
(c) Rs 3600
(d) Rs 4800.

Explanation:
$$\frac{300}{6000}$$ = $$\frac{120}{?}$$ ⇒ ? = 2400

Question 16.
If 20 cows eat as much as 15 oxen, how many cows will eat at much as 36 oxen ?
(a) 40
(b) 44
(c) 45
(d) 48

Explanation:
$$\frac{15}{20}$$ = $$\frac{36}{?}$$ ⇒ ? = $$\frac{20×36}{15}$$ = 48

Question 17.
The fare for a journey of 40 km is Rs 25. How much can be travelled for Rs40 ?
(a) 32 km
(b) 64 km
(c) 50 km
(d) 60 km.

Explanation:
$$\frac{25}{40}$$ = $$\frac{40}{?}$$ ⇒ ? = $$\frac{40×40}{25}$$ = 64

Question 18.
Apala types 200 words in half an hour. How many words will she type in 12 minutes ?
(a) 80
(b) 50
(c) 100
(d) 60.

Explanation:
$$\frac{30}{200}$$ = $$\frac{12}{?}$$ ⇒ ? = 80

Question 19.
A labourer is paid Rs 400 for 2 days work. If he works for 5 days, how much will he get ?
(a) Rs 1000
(b) Rs 800
(c) Rs 750
(d) Rs 900.

Explanation:
$$\frac{2}{400}$$ = $$\frac{5}{?}$$ ⇒ ? = 1000

Question 20.
A machine in a soft drink factory fills 600 bottles in 5 hours. How many bottles will it fill in 2 hours ?
(a) 120
(b) 180
(c) 150
(d) 240.

Explanation:
$$\frac{5}{600}$$ = $$\frac{2}{?}$$ ⇒ ? = 240

Question 21.
If 8 men can do a piece of work in 20 days, in how many days could 20 men do the same work ?
(a) 6 days
(b) 8 days
(c) 4 days
(d) 10 days.

Explanation:
8 × 20 = 20 × ? ⇒ ? = 8.

Question 22.
If an amount of food last for 40 days for 120 men, how long will it last for 80 men at the same rate ?
(a) 50 days
(b) 60 days
(c) 80 days
(d) 100 days.

Explanation:
40 × 120 = 80 × ? ⇒ ? = 60.

Question 23.
If 18 women can reap a field in 7 days, in what time can 6 women reap the same field ?
(a) 15 days
(b) 21 days
(c) 30 days
(d) 36 days.

Explanation:
18 × 7 = 6 × ? ⇒ ? = 21.

Question 24.
10 men can dig a trench in 15 days. How long will 3 men take ?
(a) 50 days
(b) 60 days
(c) 100 days
(d) 75 days.

Explanation:
10 × 15 = 3 × ? ⇒ ? = 50.

Question 25.
3 lambs finish eating turnips in 8 days. In how many days will 2 lambs finish them ?
(a) 6
(b) 8
(c) 10
(d) 12.

Explanation:
3 × 8 = 2 × ? ⇒ ? = 12.

Question 26.
6 pipes are required to fill a tank in 1 hour. How long will it take if only 5 pipes of the same type are used ?
(a) 75 minutes
(b) 72 minutes
(c) 80 minutes
(d) 90 minutes.

Explanation:
6 × 60 = 5 × ? ⇒ ? = 72 minutes.

Question 27.
40 cows can graze a field in 16 days. How many cows will graze the same field in 10 days ?
(a) 60
(b) 64
(c) 80
(d) 75.

Explanation:
40 × 16 = ? × 10 ⇒ ? = 64.

Question 28.
If x = ky and when y = 4, x = 8 then k =
(a) 1
(b) 2
(c) 3
(d) 4.

Explanation:
8 = 4k ⇒ k = 2.

Question 29.
The constant of variation, if x ∝ y, from the following table is (a ) 1
(b) 2
(c) 3
(d) 4.

Explanation:
2 × 3 = 6, 4 × 3 = 12,
5 × 3 = 15, 7 × 3 = 21.

Question 30.
x and y vary inversely with each other. If x – 15 when y = 6, then the value of x when y = 15 is
(a) 2
(b) 4
(c) 5
(d) 6.

Explanation:
15 × 6 = ? × 15 ⇒ ? = 6.

Question 31.
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

Explanation:
x = 20 and y = 40
Clearly, 40 = 2 × 20
y = 2x
y ∝ x, where 2 is the proportionality constant.

Question 32.
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

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.

Question 33.
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

Explanation:
x ∝ y
x = ky
k = x/y, where k is a constant.

Question 34.
If x and y are inversely proportional, then:
(a) x + y = constant
(b) x – y = constant
(c) xy = constant
(d) x/y = constant

Explanation:
x ∝ 1/y
x = k/y
xy = k
Where k is a constant.

Question 35.
If x ∝ y and x1= 5, y1 = 210 and x2 = 2, then find y2 ?
(a) 200
(b) 84
(c) 99
(d) 70

Explanation:
x ∝ y
x = ky
x/y = k
x1/y1 = x2/y2
5/210 = 2/y2
y2 = 84

Question 36.
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

Explanation:
For 12 sheets, weight of paper is 40 grams
Let number of sheets for 2500 is x.
Using direct proportion concept:
12/40 = x/2500
x = (12 × 2500)/40
x = 750

Question 37.
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

Explanation:
1 : 300 = x : y
1/300 = 4/y
y = 4 x 300 = 1200

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

Question 38.
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

Explanation:
x ∝1/y
x = k (1/y)
xy = k
x1y1=x2y2
x1/x2=y2/y1

Question 39.
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

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

Question 40.
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