## MCQ Questions for Class 8 Maths: Ch 13 Direct and Inverse Proportions

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

(a) 12 days

(b) 14 days

(c) 16 days

(d) 15 days

â–º (d) 15 days

2. 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

â–º (b) Direct proportion

3. 72 books are packed in 4 cartons of the same size. How many cartons are required for 360 books?

(a) 22

(b) 18

(c) 20

(d) None of these

â–º (c) 20

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

â–º (d) Rs 50

5. The price of 357 mangoes is Rs.1517.25. What will be the approximate price of 49 dozens of such mangoes?

(a) Rs.3000

(b) Rs.3500

(c) Rs.4000

(d) Rs.2500

â–º (a) Rs.3000

6. 6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used?

(a) 56 minutes

(b) 72 minutes

(c) 96 minutes

(d) 80 minutes

â–º (c) 96 minutes

7. A van covers 432 km with 36 litres 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

â–º (b) 300 km

8. 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

â–º (b) Rs 2000

9. 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

â–º (d) 6 minutes

10. The cost of 5 metres of a particular quality of cloth is Rs 210. Find the cost of 2 metres of cloth of the same type.

(a) Rs 100

(b) Rs 84

(c) Rs 90

(d) Rs 60

â–º (b) Rs 84

11. An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.

(a) 21 metres

(b) 30 metres

(c) 25 metres

(d) None of these

â–º (a) 21 metres

12. A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

(a) 15 days

(b) 20 days

(c) 25 days

(d) 30 days

â–º (c) 25 days

13. The scale of a map is 1:3Ã—10

^{7}Two cities are 5 cm apart on the map. Find the actual distance between them in kilometres.
(a) 1500 km

(b) 1000 km

(c) 1100 km

(d) 2000 km

â–º (a) 1500 km

â–º (a) 1500 km

14. 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

â–º (c) 72 km/h

15. Raju earns Rs 1440, if he works for 12 days. If he works for 30 days, he will earn

(a) Rs 2400

(b) Rs 3600

(c) Rs 4800

(d) None of these

â–º (b) Rs 3600

16. x varies inversely as square of y. Given that y = 3 for x = 1.find the value of x for y = 4.

(a) 3

(b) 9

(c) 1/3

(d) 9/16

â–º (d) 9/16

17. If the cost of 27 bags of paddy is Rs.9450, what is the cost of 36 bags of paddy?

(a) Rs.12000

(b) Rs.12600

(c) Rs.16200

(d) Rs.10620

â–º (b) Rs.12600

18. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?

(a) 24 days

(b) 28 days

(c) 34 days

(d) 35 days

â–º (a) 24 days

19. If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?

(a) 4 days

(b) 5 days

(c) 3 days

(d) 2 days

â–º (c) 3 days

20. There is enough food to last for 40 people for 10 days. If 10 more people join them, the food will last for

(a) 10 days

(b) 12 days

(c) 8 days

(d) None of these

â–º (c) 8 days

21. A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. How many parts of base will be used in mixture by mixing 7 part of red pigment?

(a) 70

(b) 56

(c) 63

(d) 49

â–º (b) 56

22. Two quantities x and y are said to be in ___________ if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant.

(a) inverse proportion

(b) mix proportion

(c) direct proportion

(d) None of these

â–º (c) direct proportion