Direct and Inverse Proportions MCQs with answers

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Q. 10 metres of cloth cost Rs 1000. What will 4 metres cost ?
  • (A) Rs 400
  • (B) Rs 800
  • (C) Rs 200
  • (D) Rs 100
πŸ’¬ Discuss
βœ… Correct Answer: (A) Rs 400
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 2.4 kg
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (C) 13.5 kg
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (D) Rs 50
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 90 metric tonnes
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) Rs 2000
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (A) Rs 2000
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (D) 6 minutes
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 2.5 seconds
Q. 3 knives cost Rs 63. What will 17 knives cost ?
  • (A) Rs 357
  • (B) Rs 375
  • (C) Rs 537
  • (D) Rs 573
πŸ’¬ Discuss
βœ… Correct Answer: (A) Rs 357
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (A) 16 hectares
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (D) 8 hours
Q. What is the cost of 50 sticks at Rs 24 per score ?
  • (A) Rs 30
  • (B) Rs 40
  • (C) Rs 50
  • (D) Rs 60
πŸ’¬ Discuss
βœ… Correct Answer: (D) Rs 60
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (C) 2.5 hours
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) Rs 2400
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (D) 48
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 64 km
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (A) 80
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (A) Rs 1000
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (D) 240
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 8 days
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 60 days
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 21 days
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (A) 50 days
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (D) 12
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 72 minutes
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 64
Q. If x = ky and when y = 4, x = 8 then k =
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
πŸ’¬ Discuss
βœ… Correct Answer: (B) 2
Q. The constant of variation, if x ∝ y, from the following table is
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
πŸ’¬ Discuss
βœ… Correct Answer: (C) 3
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (D) 6
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (A) Directly proportional
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (A) Directly proportional
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (D) x/y = constant
Q. If x and y are inversely proportional, then:
  • (A) x + y = constant
  • (B) x – y = constant
  • (C) xy = constant
  • (D) x/y = constant
πŸ’¬ Discuss
βœ… Correct Answer: (C) xy = constant
Q. If x ∝ y and x1= 5, y1 = 210 and x2 = 2, then find y2 ?
  • (A) 200
  • (B) 84
  • (C) 99
  • (D) 70
πŸ’¬ Discuss
βœ… Correct Answer: (B) 84
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (A) 750
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (C) 1200 km
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (C) x1/x2 = y2/y1
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 96 minutes
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (D) 15

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Table of contents

  1. 10 metres of cloth cost Rs 1000. What will 4 metres cost ?
  2. 15 books weigh 6 kg. What will 6 books weigh ?
  3. A horse eats 18 kg of com in 12 days ? How much does he eat in 9 days ?
  4. 8 g of sandal wood cost Rs 40. What will 10 g cost ?
  5. 20 trucks can hold 150 metric tonnes. How much will 12 trucks hold ?
  6. 120 copies of a book cost Rs 600. What will 400 copies cost ?
  7. The rent of 7 hectares is Rs 875. What is the rent of 16 hectares ?
  8. A boy runs 1 km in 10 minutes. How long will he take to ran 600 m ?
  9. A shot travels 90 m in 1 second. How long will it take to go 225 m ?
  10. 3 knives cost Rs 63. What will 17 knives cost ?
  11. 15 men can mow 40 hectares of land in 1 day. How much will 6 men mow in 1 day ?
  12. A man walks 20 km in 5 hours. How long would he take in walking 32 km ?
  13. What is the cost of 50 sticks at Rs 24 per score ?
  14. A train travels 60 km in 1 hour. How long will it take to go 150 km ?
  15. If 3 quintals of coal cost Rs 6000, what is the cost of 120 kg ?
  16. If 20 cows eat as much as 15 oxen, how many cows will eat at much as 36 oxen ?
  17. The fare for a journey of 40 km is Rs 25. How much can be travelled for Rs40 ?
  18. Apala types 200 words in half an hour. How many words will she type in 12 minutes ?
  19. A labourer is paid Rs 400 for 2 days work. If he works for 5 days, how much will he get ?
  20. A machine in a soft drink factory fills 600 bottles in 5 hours. How many bottles will it fill in 2 h
  21. If 8 men can do a piece of work in 20 days, in how many days could 20 men do the same work ?
  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
  23. If 18 women can reap a field in 7 days, in what time can 6 women reap the same field ?
  24. 10 men can dig a trench in 15 days. How long will 3 men take ?
  25. 3 lambs finish eating turnips in 8 days. In how many days will 2 lambs finish them ?
  26. 6 pipes are required to fill a tank in 1 hour. How long will it take if only 5 pipes of the same typ
  27. 40 cows can graze a field in 16 days. How many cows will graze the same field in 10 days ?
  28. If x = ky and when y = 4, x = 8 then k =
  29. The constant of variation, if x ∝ y, from the following table is
  30. x and y vary inversely with each other. If x – 15 when y = 6, then the value of x when y = 15 is
  31. If x = 20 and y = 40, then x and y are:
  32. If x = 15 and y = 1/30, then x and y are
  33. If x and y are directly proportional, then which of the following is correct?
  34. If x and y are inversely proportional, then:
  35. If x ∝ y and x1= 5, y1 = 210 and x2 = 2, then find y2
  36. If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh
  37. The scale of a map is given as 1 : 300. Two cities are 4 km apart on the map. The actual distance be
  38. If x and y are inversely proportional, then which one is true?
  39. 6 pipes are required to fill a tank in 1 hour 20 minutes. If we use 5 such types of pipes, how much
  40. If 12 workers can build a wall in 50 hours, how many workers will be required to do the same work in