This quiz works best with JavaScript enabled. Home > Class 8 > Class 8 Maths Chapter 13 Direct And Inverse Proportions ā Quiz 4 š Homepage š Download PDF Books š Premium PDF Books Class 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 4 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 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) 21. B) 23. C) 15. D) 25. Show Answer Correct Answer: D) 25. 2. 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. 3. What kind of equation is this?xy=8 A) Linear Equation. B) Direct Variation. C) Inverse Variation. D) Joint Variation. Show Answer Correct Answer: C) Inverse Variation. 4. Meenakshi cycles to her school at an average speed of 12km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be A) 20/3 km/h. B) 16km/h. C) 20km/h. D) 15km/h. Show Answer Correct Answer: C) 20km/h. 5. 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. 6. 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. 7. 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. C) By observing that as one variable increases, the other variable decreases at a constant rate. D) By observing that as one variable increases, the other variable remains constant. Show Answer Correct Answer: A) By observing that as one variable increases, the other variable also increases at a constant rate. 8. Which equation exhibits a direct proportion? A) Y = 5x-2. B) Y = 3/4 x. C) Y-x = 4. D) X = 6. Show Answer Correct Answer: B) Y = 3/4 x. 9. 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. 10. 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. 11. 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. 12. 10 metres of cloth cost Rs 1000. What will 4 metres cost? A) Rs 400. B) Rs 800. C) Rs 200. D) Rs 100. Show Answer Correct Answer: A) Rs 400. 13. 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) 900 GM. B) 1000 GM. C) 20GM. D) 124GM. Show Answer Correct Answer: A) 900 GM. 14. X and y very inversely. When x = 15 then y = 6. What will be the value when x = 9? A) 10. B) 15. C) 54. D) 135. Show Answer Correct Answer: A) 10. 15. 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. 16. 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. 17. The cost of 5 meters of a particular quality of cloth is ā¹ 210. Find the cost of 17 meters of the same quality of cloth. A) ā¹ 340. B) ā¹ 713. C) ā¹ 714. D) None of these:/. Show Answer Correct Answer: C) ā¹ 714. 18. 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) $ 21.57. D) $ 25.6. Show Answer Correct Answer: B) $ 308. 19. If y varies inversely as x and y=2 as x = 8, find x when y=-7 A) 1/4. B) 4. C) 16. D) 16/-7. Show Answer Correct Answer: D) 16/-7. 20. 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. 21. 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. 22. 3 knives cost Rs 63. What will 17 knives cost? A) Rs 357. B) Rs 375. C) Rs 537. D) Rs 573. Show Answer Correct Answer: A) Rs 357. 23. Every 30 seconds, you can text 35 words. How many words can you type in an hour? A) 2, 300. B) 4, 200. C) 540. D) 1800. Show Answer Correct Answer: B) 4, 200. 24. 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. 25. 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) 10 painters. C) 9 painters. D) 11 painters. 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