This quiz works best with JavaScript enabled. Home > Class 8 > Class 8 Maths Chapter 13 Direct And Inverse Proportions ā Quiz 1 š Homepage š Download PDF Books š Premium PDF Books Class 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 1 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The scale of a map is 1:2, 00, 00, 000. If two cities are 6cm apart on the map, then the actual distance between them is A) 200 km. B) 600km. C) 120km. D) 1200 km. Show Answer Correct Answer: D) 1200 km. 2. 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in ..... minutes A) 100. B) 174. C) 144. D) 108. Show Answer Correct Answer: A) 100. 3. In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m how long is the model ship? A) 21 cm. B) 32 m. C) 21 m. D) 32 cm. Show Answer Correct Answer: A) 21 cm. 4. Copies of a book cost Rs 600. What will 400 copies cost? A) Rs 1000. B) Rs 2000. C) Rs 3000. D) Rs 2400. Show Answer Correct Answer: B) Rs 2000. 5. Identify whether the given relation is Direct or Indirect Proportion?Area of cultivated land and the crop harvested A) Director Proportion. B) Indirect Proportion. C) All the above. D) None of the above. Show Answer Correct Answer: A) Director Proportion. 6. What type of variation does this scenario represent?The outside temperature and the number of layers of clothes you need to wear outside to feel comfortable A) Direct variation. B) Inverse variation. C) Joint variation. D) None of these. Show Answer Correct Answer: B) Inverse variation. 7. What is the relationship between two quantities in an inverse proportion? A) As one quantity increases, the other quantity decreases. B) The two quantities are not related to each other. C) As one quantity increases, the other quantity also increases. D) The relationship between the two quantities does not change. Show Answer Correct Answer: A) As one quantity increases, the other quantity decreases. 8. Time taken will be less if the speed is increased (with the same distance covered). This sentence 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. Explain how you can identify an inverse proportion from a given set of data. A) Observing that as one variable increases, the other variable also increases. B) Observing that as one variable increases, the other variable decreases in a consistent manner. C) Noticing that the two variables remain constant regardless of changes in each other. D) Identifying that the two variables have no relationship to each other. Show Answer Correct Answer: B) Observing that as one variable increases, the other variable decreases in a consistent manner. 10. If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours? A) 18. B) 24. C) 12. D) 28. Show Answer Correct Answer: B) 24. 11. 12 men can dig a pond in 8 days. How many men can dig it in 6 days? A) 20. B) 15. C) 16. D) 24. Show Answer Correct Answer: C) 16. 12. The scale of a map says that 6 cm represents 15 km. What distance on the map represents an actual distance of 6 kilometers? A) 3.6. B) 2.5. C) 2.4. D) .42. Show Answer Correct Answer: C) 2.4. 13. 8 cows can graze a field in 28 days. How long would 4 cows take to graze the same field? A) 48. B) 56. C) 36. D) 40. Show Answer Correct Answer: B) 56. 14. There are 100 students in a hostel. Food provision for them is for 20 days. How long will these provisions last, if 25 more students join the group? A) 17. B) 21. C) 10. D) 16. Show Answer Correct Answer: D) 16. 15. The time needed to travel a certain distance varies inversely with the rate of speed. If it takes 6 hours to travel a certain distance at 40 miles per hour, how long will it take to travel the same distance at 55 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. 16. Identify whether the given relation is Direct or Indirect Proportion?The number of workers on a job and the time to complete the job A) Direct Proportion. B) Indirect Proportion. C) All the above. D) None of the above. Show Answer Correct Answer: B) Indirect Proportion. 17. Persons had food provision for 24 days. If 20 persons left the place, the provision will last for: A) 30. B) 45. C) 60. D) 70. Show Answer Correct Answer: A) 30. 18. At Sec 2 camp, there is sufficient food for 48 students to last 6 days. If 12 students are absent from the camp, how many more days can the food last? A) 2. B) 4. C) 6. D) 8. Show Answer Correct Answer: A) 2. 19. The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6. A) Y = 20x. B) Y = 84x. C) Y=7/3x. D) Y=3/7x. Show Answer Correct Answer: C) Y=7/3x. 20. If 'A' can finish a work in 'n' days then part of work finished in 1 day is A) 1-n. B) 1/n. C) N-1. D) None of these. Show Answer Correct Answer: B) 1/n. 21. Sonam is going to a picnic with her family. They are using a road map with a scale of 1 cm representing 12 km to travel to a place A. If they travel on the road for 48 km, what would be the distance covered in the map? A) 4 m. B) 40 cm. C) 0.04 m. D) 0.04 cm. Show Answer Correct Answer: C) 0.04 m. 22. X and y are in direct proportion if A) Y-x=k or x=kx. B) Xy = k or y = ky. C) X/y=k or x=ky. D) X+y=k or y= kx. Show Answer Correct Answer: C) X/y=k or x=ky. 23. Boyle's Law states that, for a fixed amount of gas, the volume of the gas at a constant temperature is inversely proportional to the pressure. If a certain gas occupies 9.84 liters at a pressure of 50 centimeters of mercury (cm Hg), what is the approximate pressure when the volume is increased to 12 liters? A) 39.8 cm Hg. B) 41.0 cm Hg. C) 43.2 cm Hg. D) 45.1 cm Hg. Show Answer Correct Answer: B) 41.0 cm Hg. 24. 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. Show Answer Correct Answer: D) Rs 50. 25. A car travelling at a uniform speed covers a distance of 50 km in 30 minutes. How far will it travel in 3 hours? A) 25/3 km. B) 5 km. C) 300 km. D) 500 km. Show Answer Correct Answer: C) 300 km. 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