This quiz works best with JavaScript enabled. Home > Cbse > Class 8 > Mathematics > Direct And Inverse Proportions > Class 8 Maths Chapter 13 Direct And Inverse Proportions – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 3 (31 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Y varies directly as x, if y=12 when x=5, find y when x=3 A) 15/12. B) 36/5. C) 12/15. D) 12/5. Show Answer Correct Answer: B) 36/5. 2. If it takes 3 mechanics, 20 hours to build a car, how long will it take 4 mechanics? A) 12 hours. B) 10 hours. C) 15 hours. D) 14 hours. Show Answer Correct Answer: C) 15 hours. 3. A garrison of 500 men has provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for A) 16 days. B) 17.5 days. C) 18 days. D) 15 days. Show Answer Correct Answer: D) 15 days. 4. If the weight of 12 sheets of thick paper is 40 grams, how many sheets ofthe same paper would weigh 3 1/2 kilograms? A) 1050 gm. B) 1.5 kg. C) None of these:/. D) 750. Show Answer Correct Answer: A) 1050 gm. 5. T is inversely proportional to vt=2 when v=6Find the equation for t and v A) T = 12v. B) T = $^{3}$/$_{v}$. C) T = $^{12}$/$_{v}$. D) T = $^{1}$/$_{3 }$v. Show Answer Correct Answer: C) T = $^{12}$/$_{v}$. 6. Which of the following represents direct variation? A) Y = kx. B) Y = k/x. C) Y = x/k. D) Y = mx + b. Show Answer Correct Answer: A) Y = kx. 7. The gallons of water used to take a shower varies directly with the number of minutes in the shower. If an 8 minute shower uses 48 gallons of water, find the constant of variation. A) 8. B) 6. C) 1/6. D) 48. Show Answer Correct Answer: B) 6. 8. In which of the following case, x and y are said to be in inverse proportion? A) Xy = 5. B) X = 5 x y. C) X/y = 5. D) 5 x x = y. Show Answer Correct Answer: A) Xy = 5. 9. Pages read daily and days needed to finish a reading relates to A) Direct proportions. B) Inverse proportions. C) All the above. D) None of the above. Show Answer Correct Answer: B) Inverse proportions. 10. 48 men were deployed to construct a bridge in 30 days.How many days does it take for 8 men to construct the same bridge? A) 200. B) 10. C) 5. D) 180. Show Answer Correct Answer: D) 180. 11. An electric pole, 12 metres high, casts a shadow of 18 metres at a certain time. What is the height of a tree that casts a shadow of 16 metres under similar conditions? A) 10.67 m. B) 13.5 m. C) 21.2 m. D) 24 m. Show Answer Correct Answer: A) 10.67 m. 12. Identify a real-life scenario that represents a direct proportion. A) Number of people and amount of food needed for a party. B) Temperature and volume of a gas at constant pressure. C) Number of hours worked and amount of money earned. D) Distance traveled and time taken in a constant speed journey. Show Answer Correct Answer: D) Distance traveled and time taken in a constant speed journey. 13. Suppose y varies inversely with x.If y = 150 when x = 2, find y when x = 25. A) 300. B) 1, 875. C) 12. D) 75. Show Answer Correct Answer: C) 12. 14. Direct proportion, inverse proportion or neither?It takes 6 minutes to hard boil three eggs in a pan. How long would it take to boil two eggs? A) Direct. B) Inverse. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 15. Jackie cooked 9 burgers in 45 minutes. How many burgers could she cook in an hour and a half? A) 18 burgers. B) 10 burgers. C) 22 burgers. D) 15 burgers. Show Answer Correct Answer: A) 18 burgers. 16. Kendra earns $ 32.50 for working 7 hours. If the amount m she earns varies with h the number of hours she works, how much will she earn for working 12 hours? A) Direct Variation. B) Inverse Variation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Direct Variation. 17. Y is directly proportional to x. y=2 when x=4, which of the following is the correct equation connecting y and x. A) $y=\frac{x}{2}$. B) $y=2x$. C) $y=4x$. D) None of the above. Show Answer Correct Answer: A) $y=\frac{x}{2}$. 18. 6 pipes are required to fill a tank in 1 hour 20 minutes. How long will ittake if only 4 pipes of the same type are used? A) 2 hours. B) 120 hours. C) 120 seconds. D) None of these. Show Answer Correct Answer: A) 2 hours. 19. The cost of 5 metres of a particular quality of cloth is ₹ 210. Tabulate the cost of 13 metres of cloth of the same type. A) 673. B) 546. C) 456. D) 324. Show Answer Correct Answer: B) 546. 20. Which of the following represents indirect variation? A) Y = k/x. B) Y = kx. C) Y = mx + b. D) Y = x/k. Show Answer Correct Answer: A) Y = k/x. 21. If 12 workers can construct a road of length 5 km in 25 hours, how many more workers will be required to do the same work in 15 hours? A) 12. B) 20. C) 8. D) 7. Show Answer Correct Answer: C) 8. 22. A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same? A) 42 min. B) 35 min. C) 40 min. D) 37 min. Show Answer Correct Answer: C) 40 min. 23. . A group of 3 friends staying together, consume 54 kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new members are there in this group now? A) 2. B) 4. C) 3. D) 1. Show Answer Correct Answer: A) 2. 24. A boy runs 1 km in 10 minutes. How long will he take to ran 600 m? A) 4 minutes. B) 3 minutes. C) 2 minutes. D) 6 minutes. Show Answer Correct Answer: D) 6 minutes. 25. Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y? A) 15, 4. B) 45, 1.3. C) 12, 5. D) 25, 2.4. Show Answer Correct Answer: B) 45, 1.3. 26. Ten identical pipes turned on simultaneously can fill a swimming pool in 9 hours. How long will it take 6 pipes to fill the same swimming pool? A) 15. B) 13. C) 12. D) 14. Show Answer Correct Answer: A) 15. 27. A worker is paid Rs 210 for 6 days work. If his total income of the month is Rs 875, for how many days did he work? A) 24. B) 15. C) 25. D) 7. Show Answer Correct Answer: C) 25. 28. On a scale drawing, 2 feet represents 30 yards. How many yards are represented by 3 feet? A) Direct Variation. B) Inverse Variation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Direct Variation. 29. 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) 96. B) 94. C) 72. D) 83. Show Answer Correct Answer: A) 96. 30. A shot travels 90 m in 1 second. How long will it take to go 225 m? A) 3.5 seconds. B) 4 seconds. C) 2.5 seconds. D) 2 seconds. Show Answer Correct Answer: C) 2.5 seconds. 31. If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field? A) 32. B) 36. C) 48. D) 24. Show Answer Correct Answer: D) 24. ← PreviousRelated QuizzesMathematics QuizzesClass 8 QuizzesClass 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 1Class 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 2 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books