## Grade 8 Maths Direct and Inverse Proportions Multiple Choice Questions (MCQs)

1. **If 25 metres of cloth costs of ₹ 1575, how many metres of it can be bought for ₹ 2016?**

(a) 30 m

(b) 32 m

(c) 36 m

(d) None of these

2. **A worker is paid ₹ 1110 for 6 days. If his total wages during a month are ₹ 4625, for how many days did he work?**

(a) 15 days

(b) 25 days

(c) 30 days

(d) None of these

3. **The length of the shadow of a 3 m high pole at a certain time of the day is 3.6 m. What is the length of the height of another pole whose shadow at that time is 54 m long?**

(a) 30 m

(b) 40 m

(c) 45 m

(d) None of these

4. **Traveling 900 km by rail costs ₹ 280. What would be the fare for a journey of 360 km when a person travels by the same class?**

(a) ₹ 118

(b) ₹ 112

(c) ₹ 119

(d) None of these

5. **If 8 kg sugar costs ₹ 148, how much sugar can be bought for ₹ 832.50?**

(a) 45 kg

(b) 50 kg

(c) 60 kg

(d) None of these

6. **The cost of 37 m of silk is ₹ 3145. What length of this silk can be purchased for ₹ 1445?**

(a) 15 m

(b) 16 m

(c) 17 m

(d) None of these

7. **If 22.5 m of a uniform iron rod weighs 85.5 kg, what will be the length of 22.8 kg of the same rod?**

(a) 5 m

(b) 6 m

(c) 7 m

(d) None of these

8. **Manoj types 540 words during half an hour, how many words would he type in 6 minutes?**

(a) 105

(b) 106

(c) 108

(d) None of these

9. **Rohit bought 12 registers for ₹ 156, find the cost of 7 such register.**

(a) ₹ 90

(b) ₹ 91

(c) ₹ 92

(d) None of these

10. **Pranshu takes 125 minutes in walking a distance of 100 m. What distance would he cover in 315 minutes?**

(a) 250 m

(b) 252 m

(c) 254 m

(d) None of these

11. **If 56 men can do a piece of work in 42 days, how many men will do it in 14 days?**

(a) 165

(b) 166

(c) 168

(d) None of these

12. **120 men have food provision for 200 days. After 5 days, 30 men died due to the cancer. How long will the remaining food last?**

(a) 260 days

(b) 275 days

(c) 250 days

(d) None of these

13. **If x and y varies inversely as each other and x = 10 when y = 6 . Find y when x = 15.**

(a) 5

(b) 6

(c) 4

(d) None of these

14. **Shreya cycles to her school at an average speed of 12 km/hr. It takes her 20 minutes to reach the school. If she wants to reach her school in 15 minutes, what would be her average speed?**

(a) 15 km/hr

(b) 16 km/hr

(c) 18 km/hr

(d) None of these

15. **1000 soldiers in a fort has enough food for 20 days. But some soldiers were transferred to another fort and the food lasted for 25 days. How many soldiers were transferred?**

(a) 100

(b) 200

(c) 800

(d) None of these

16. **If x andy varies inversely as each other and x = 8, when y = 32. Find y when x = 16:**

(a) 64

(b) 16

(c) 4

(d) None of these

17. **If x and y varies inversely as each other and x = 8, when y = 10. Find y when x = 2.**

(a) 40

(b) 16

(c) 4

(d) None of these

18. **If x and y varies inversely as each other and x = 2, when y = 40. Find y when x = 20.**

(a) 40

(b) 16

(c) 4

(d) None of these

19. **If x and y varies inversely as each other and x = 8, when y = 10. Find y when x = 5.**

(a) 40

(b) 16

(c) 4

(d) None of these

20. **If a and b varies inversely as each other and a = 16, when b = 4. Find b when a = 32.**

(a) 2

(b) 8

(c) 4

(d) None of these

### Class 8 Maths Direct and Inverse Proportions Very Short Answer Type Questions

1. If the cost of 1 kg of sugar is ₹ 18, then what would be the cost of 3 kg sugar?

2. If the cost of 9 toys is ₹ 333, find the cost of 16 such toys.

3. A car can cover a distance 522 km on 36 litres of petrol. How far can it travel on 14 litres of petrol?

4. If 13 metres of a uniform iron rod weighs 23.4 kg than what will be the weight of 6 metres of the same rod?

5. A train covers a distance of 51 km in 45 minuties. How long will it take to cover 221 km?

6. If 15 oranges cost ₹ 70, what do 39 oranges cost?

### Class 8 Maths Direct and Inverse Proportions Short Answer Type Questions

1. In a students hostel with 32 students, a fixed quantity of food lasts for 45 days. If 16 more students join in, then the food will last for how many days?

2. If 2 : 3 = x : 51. Find x.

3. If A : B = 2 : 3 and B : C = 4 : 5 then. Find A : C.

4. If 628 persons can complete the work in 84 days then in how many days 1256 persons will complete the same work?

### Class 8 Maths Direct and Inverse Proportion Long Answer Type Questions

1. Find the value of x and y if x : y = 2 : 3 and 2 : x = 1 : 2

2. A car is moving at a uniform speed of 45 km/h.

(a) How far will it travel in 5 hours?

(b) Find the distance covered in 40 minutes.

3. If x and y are in inverse proportion. Find the value of a, b and c in the table: