MCQ of Direct and Inverse Proportions
Question. 10 metres of cloth cost Rs 1000. What will 4 metres cost ?
(a) Rs 400
(b) Rs 800
(c) Rs 200
(d) Rs 100.
Answer :- (a) Rs 400
Question. 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.
Answer :- (b) 2.4 kg
Question. 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.
Answer :- (c) 13.5 kg
Question. 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.
Answer :- (d) Rs 50.
Question. 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.
Answer :- (b) 90 metric tonnes
Class 8 Maths Chapter 13 Direct and Inverse Proportions
Question. 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.
Answer :- (b) Rs 2000
Question. 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.
Answer :- (a) Rs 2000
Question. 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.
Answer :- (d) 6 minutes.
Question. 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.
Answer :- (b) 2.5 seconds
Question. 3 knives cost Rs 63. What will 17 knives cost ?
(a) Rs 357
(b) Rs 375
(c) Rs 537
(d) Rs 573.
Answer :- (a) Rs 357
Question. 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.
Answer :- (a) 16 hectares
Question. 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.
Answer :- (d) 8 hours.
Question. What is the cost of 50 sticks at Rs 24 per score ?
(a) Rs 30
(b) Rs 40
(c) Rs 50
(d) Rs 60.
Answer :- (d) Rs 60.
Question. 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.
Answer :- (c) 2.5 hours
Question. 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
Answer :- (b) Rs 2400
Question. 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.
Answer :- (b) 64 km
Question. 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.
Answer :- (a) 80
Question. 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.
Answer :- (a) Rs 1000
Question. 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.
Answer :- (d) 240
Question. 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.
Answer :-(b) 8 days
Question. 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.
Answer :- (b) 60 days
Question. 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.
Answer :- (b) 21 days
Question. 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.
Answer :- (a) 50 days
Question. 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.
Answer :- (d) 12
Question. 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.
Answer :- (b) 72 minutes
Question. 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.
Answer :- (b) 64
Question. If x = ky and when y = 4, x = 8 then k =
(a) 1
(b) 2
(c) 3
(d) 4.
Answer :- (b) 2
Question . The constant of variation, if x ∝ y, from the following table is
(a ) 1
(b) 2
(c) 3
(d) 4.
Answer :- (c) 3
Question . 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.
Answer :- (d) 6
Question. 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
Answer :- (a) Directly proportional
Question . 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
Answer :- (a) Directly proportional
Question . 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
Answer :- (d) x/y = constant
Question . If x and y are inversely proportional, then:
(a) x + y = constant
(b) x – y = constant
(c) xy = constant
(d) x/y = constant
Answer :- (c) xy = constant
Question . If x ∝ y and x1= 5, y1 = 210 and x2 = 2, then find y2 ?
(a) 200
(b) 84
(c) 99
(d) 70
Answer :- (b) 84
Question . 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.
Answer :- (a) 750
Question . 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
Answer :- (c) 1200 km
Question . 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
Answer :- (c) x1/x2 = y2/y1
Question . 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
Answer :- (b) 96 minutes
Question . 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
Answer :- (d) 15
Class 8 Maths Chapter 13 Direct and Inverse Proportions