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 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 7 men can complete a work in 52 days. In how many days will 13 men finish the same work? A) 36. B) 56. C) 42. D) 28. Show Answer Correct Answer: D) 28. 2. In a direct proportion, what happens to one quantity as the other quantity increases? A) It increases. B) It stays the same. C) It becomes negative. D) It decreases. Show Answer Correct Answer: A) It increases. 3. The time it takes to travel a fixed distance varies inversely with the speed traveled. If it takes Pancho 52 minutes to bike to his fishing spot at 9.5 miles per hour, how long will it take him if he rides at 11 miles per hour? A) Direct Variation. B) Inverse Variation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Inverse Variation. 4. G is directly proportional to bGiven g=20 when b=4.Find g when b=7 A) 5. B) 35. C) 23. D) 15. Show Answer Correct Answer: B) 35. 5. What is the constant (k) in this inverse variation?y = 400/x A) Not enough information given. B) X. C) Y. D) 400. Show Answer Correct Answer: D) 400. 6. Multiply 210125 by the smallest number so that the product is a perfect cube. A) 11. B) 31. C) 41. D) 13. Show Answer Correct Answer: C) 41. 7. Both a and b vary directly with each other. When a is 10, b is 4. What will be the value of b when a is 15? A) 6. B) 1/6. C) 34.5. D) 2/75. Show Answer Correct Answer: A) 6. 8. The battery power and the time it is used for relates to A) Direct proportions. B) Inverse proportions. C) All the above. D) None of the above. Show Answer Correct Answer: B) Inverse proportions. 9. What kind of equation is this?xy = 18 A) Inverse proportion. B) Direct proportion. C) Linear equation. D) Joint variation. Show Answer Correct Answer: A) Inverse proportion. 10. On a map, 180 miles are represented by 4 inches. How many miles are represented by 6 inches? A) Direct Variation. B) Inverse Variation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Direct Variation. 11. The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours? A) 480. B) 84. C) 25. D) 1960. Show Answer Correct Answer: A) 480. 12. A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days? A) 49 machines. B) 32 machines. C) 60 machines. D) 54 machines. Show Answer Correct Answer: A) 49 machines. 13. 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) 34 metres. B) 21 metres. C) 56 metres. D) 18 metres. Show Answer Correct Answer: B) 21 metres. 14. A car travels 420 miles in 8 hours. If the car continues at the same rate, how far will it travel in 12 hours? A) 540 hours. B) 630 miles. C) 630 hours. D) 600 miles. Show Answer Correct Answer: B) 630 miles. 15. In which of the following case two quantities can be in direct proportion? A) If increase in one quantity causes proportional increase in other quantity. B) If decrease in one quantity causes proportional decrease in other quantity. C) Both I and II. D) Neither I nor II. Show Answer Correct Answer: C) Both I and II. 16. In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last? A) 25. B) 15. C) 21. D) 23. Show Answer Correct Answer: A) 25. 17. If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 18. What kind of equation is this?xy=8 A) Direct Variation. B) Inverse Variation. C) Joint Variation. D) Linear Equation. Show Answer Correct Answer: B) Inverse Variation. 19. If the both quantities are increasing or decreasing then they are called A) Directly proportional quantities. B) Inversely proportional quantities. C) All the above. D) None of the above. Show Answer Correct Answer: A) Directly proportional quantities. 20. The amount of money spent at the gas station varies directly with the number of gallons purchased. When 9.5 gallons of gas were purchased the cost was $ 36.52. How much would 12 gallons of gas cost? A) Direct Variation. B) Inverse Variation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Direct Variation. 21. Explain how you can identify a direct proportion from a given set of data. A) By observing that as one variable increases, the other variable also increases at a constant rate. B) By observing that as one variable increases, the other variable decreases at a constant rate. C) By observing that as one variable increases, the other variable remains constant. D) By observing that as one variable increases, the other variable decreases. Show Answer Correct Answer: A) By observing that as one variable increases, the other variable also increases at a constant rate. 22. Which equation exhibits a direct proportion? A) X = 6. B) Y = 5x-2. C) Y = 3/4 x. D) Y-x = 4. Show Answer Correct Answer: C) Y = 3/4 x. 23. Which situation involves a direct proportion? A) As the number of miles you travel increases, the amount of petrol in the tank decreases. B) As the amount of ice in a glass decreases as the temperature increases. C) As the number of hours you study increases, the grade you get on your exams increases. D) None of the above. Show Answer Correct Answer: C) As the number of hours you study increases, the grade you get on your exams increases. 24. What type of variation does this scenario represent?The length of time you charge your cell phone and the battery power A) Direct variation. B) Inverse variation. C) Joint variation. D) None of these. Show Answer Correct Answer: A) Direct variation. 25. If x and y are in inverse proportion, then (x +1) and (y +1) are also in inverse proportion. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 26. 10 metres of cloth cost Rs 1000. What will 4 metres cost? A) Rs 800. B) Rs 200. C) Rs 400. D) Rs 100. Show Answer Correct Answer: C) Rs 400. 27. The amount of extension in an elastic string varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4 cm? A) 1000 GM. B) 124GM. C) 20GM. D) 900 GM. Show Answer Correct Answer: D) 900 GM. 28. X and y very inversely. When x = 15 then y = 6. What will be the value when x = 9? A) 54. B) 135. C) 10. D) 15. Show Answer Correct Answer: C) 10. 29. Which of the following is a case of inverse variation? A) Time taken for a journey and distance covered with a uniform speed. B) Population increased in a fixed area, then per person area is decreased. C) Area of cultivated land and the crops harvested. D) Cost of cloth and quantity of cloth purchased. Show Answer Correct Answer: B) Population increased in a fixed area, then per person area is decreased. 30. Which of the following are not in inverse proportion? A) The time required to reach at a place and speed of the vehicle. B) The population of a place and the area of land per person in that place. C) Length of a rectangle and its area when breadth is constant. D) The number of workers on a job and the time to complete the job. Show Answer Correct Answer: C) Length of a rectangle and its area when breadth is constant. 31. The cost of 5 meters of a particular quality of cloth is ₹ 210. Find the cost of 17 meters of the same quality of cloth. A) ₹ 340. B) ₹ 713. C) ₹ 714. D) None of these:/. Show Answer Correct Answer: C) ₹ 714. 32. The amount of money earned on a job is directly proportional to the number of hours worked. If $ 70.00 is earned in 5 hours, how much money is earned in 22 hours of work? A) $ 2. B) $ 308. C) $ 25.6. D) $ 21.57. Show Answer Correct Answer: B) $ 308. 33. If y varies inversely as x and y=2 as x = 8, find x when y=-7 A) 1/4. B) 16/-7. C) 4. D) 16. Show Answer Correct Answer: B) 16/-7. 34. The number of centimeters y in a linear measurement varies directly with the number of inches x in the measurement. Pablo's height is 167.64 centimeters or 66 inches. What is Maria's height in centimeters if she is 63 inches tall? A) Direct Variation. B) Inverse Variation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Direct Variation. 35. The scale of a map is given as 1:4500000. Two cities are 4 cm apart onthe map. Find the actual distance between them. A) 1800 km. B) 18 km. C) 180 km. D) None of these:/. Show Answer Correct Answer: C) 180 km. 36. 3 knives cost Rs 63. What will 17 knives cost? A) Rs 357. B) Rs 573. C) Rs 375. D) Rs 537. Show Answer Correct Answer: A) Rs 357. 37. Every 30 seconds, you can text 35 words. How many words can you type in an hour? A) 2, 300. B) 540. C) 1800. D) 4, 200. Show Answer Correct Answer: D) 4, 200. 38. Identify a real-life scenario that represents an inverse proportion. A) Distance traveled and the speed of the vehicle. B) Amount of rainfall and the number of umbrellas sold. C) Number of students and the amount of food consumed. D) Time taken to complete a task and the number of people working on it. Show Answer Correct Answer: D) Time taken to complete a task and the number of people working on it. 39. The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours? A) 8 painters. B) 9 painters. C) 10 painters. D) 11 painters. Show Answer Correct Answer: B) 9 painters. 40. Y varies directly as x. If y = 12 when x = 15, what is y when x = 20? A) 16. B) 17. C) 25. D) 4/5. Show Answer Correct Answer: A) 16. 41. If a principal amount of Rs 2, 000 is deposited in a bank then the bank gives Rs 500 as simple interest in 3 years. What should be the principal amount to earn Rs 5600 as simple interest in 3 years with the same rate of simple interest? A) Rs 28, 000. B) Rs 56, 000. C) Rs 16, 800. D) Rs 22, 400. Show Answer Correct Answer: D) Rs 22, 400. 42. Which of the following vary inversely with each other? A) Speed and distance covered. B) Distance covered and taxi fare. C) Distance travelled and time taken. D) Speed and time taken. Show Answer Correct Answer: D) Speed and time taken. 43. Which statement best describes an inverse proportion relationship between y and x? A) Y increases then x will decrease. B) Y decreases then x will decrease. C) Y increases then x will increase. D) Y increases then x will remain the same. Show Answer Correct Answer: A) Y increases then x will decrease. 44. Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2? A) -14. B) 2. C) 10. D) 14. Show Answer Correct Answer: D) 14. 45. Is this a direct proportion?y=2x A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 46. The length of a cloth and its cost relates to A) Direct proportions. B) Inverse proportions. C) All the above. D) None of the above. Show Answer Correct Answer: A) Direct proportions. 47. Assuming land to be uniformly fertile, the area of land and the yield on it vary: A) Directly with each other. B) Inversely with each other. C) Neither directly nor inversely with each other. D) Sometimes directly and sometimes inversely with each other. Show Answer Correct Answer: A) Directly with each other. 48. A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours? A) 146 km. B) 80 km. C) 168 km. D) 182 km. Show Answer Correct Answer: C) 168 km. 49. A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours? A) 800. B) 640. C) 700. D) 580. Show Answer Correct Answer: C) 700. 50. The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side. A) 6 g. B) 12 g. C) 27 g. D) 54 g. Show Answer Correct Answer: D) 54 g. 51. The number of kilograms of water in a person's body varies directly as the person's mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg? A) 50 kg water. B) 72 kg water. C) 94 kg water. D) 150 kg water. Show Answer Correct Answer: A) 50 kg water. 52. If x and y vary inversely and x = 15 when y = 6, find y when x = 9. A) 30. B) 13. C) 9. D) 10. Show Answer Correct Answer: D) 10. 53. The width of a rectangle varies inversely with its length. if the width is 4 when the length is 18, find the width when the length is 8. A) 72. B) 36. C) 9. D) 2. Show Answer Correct Answer: C) 9. 54. T is directly proportional to n$^{2}$.Given t=144 when n=6. Find the equation for t and n. A) T = HN $^{2} $. B) T = 24n. C) T = HN. D) T = 6n$^{2}$. Show Answer Correct Answer: A) T = HN $^{2} $. 55. A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the length of the shadow cast by another pole 10 m 50 cm high. A) 5. B) NOT. C) 7. D) 6. Show Answer Correct Answer: D) 6. 56. In an inverse proportion, what happens to one quantity as the other quantity increases? A) Increases. B) Fluctuates. C) Stays the same. D) Decreases. Show Answer Correct Answer: D) Decreases. 57. In the equation y = 14x, what is the constant of proportionality? A) Y. B) X. C) 14. D) None of the above. Show Answer Correct Answer: C) 14. 58. Identify whether the given relation is Direct or Indirect Proportion?Area of farmland and the crops harvested. A) Direct Proportion. B) Indirect Proportion. C) All the above. D) None of the above. Show Answer Correct Answer: A) Direct Proportion. 59. Both p and q vary inversely with each other. When p is 5/4, then q is 24/15. If p is 14/5, what will be the value of q? A) 16/35. B) 7/5. C) 5/7. D) 35/16. Show Answer Correct Answer: C) 5/7. 60. A person's weekly pay is directly proportional to the number of hours worked. Shawn's pay is $ 123.00 for 20 hours of work. What is the constant of variation? A) K = 20. B) K = 0.16. C) K = 123. D) K = 6.15. Show Answer Correct Answer: D) K = 6.15. ← PreviousNext →Related QuizzesMathematics QuizzesClass 8 QuizzesClass 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 1Class 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books