This quiz works best with JavaScript enabled. Home > Class 8 > Class 8 Maths Chapter 13 Direct And Inverse Proportions ā Quiz 5 š Homepage š Download PDF Books š Premium PDF Books Class 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Y varies directly as x. If y = 12 when x = 15, what is y when x = 20? A) 4/5. B) 17. C) 16. D) 25. Show Answer Correct Answer: C) 16. 2. 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 56, 000. B) Rs 22, 400. C) Rs 16, 800. D) Rs 28, 000. Show Answer Correct Answer: B) Rs 22, 400. 3. 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. 4. Which statement best describes an inverse proportion relationship between y and x? A) Y increases then x will decrease. B) Y increases then x will increase. C) Y increases then x will remain the same. D) Y decreases then x will decrease. Show Answer Correct Answer: A) Y increases then x will decrease. 5. Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2? A) 14. B) 10. C) 2. D) -14. Show Answer Correct Answer: A) 14. 6. 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. 7. 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. 8. 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. 9. A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours? A) 182 km. B) 80 km. C) 146 km. D) 168 km. Show Answer Correct Answer: D) 168 km. 10. A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours? A) 640. B) 580. C) 800. D) 700. Show Answer Correct Answer: D) 700. 11. 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) 12 g. B) 6 g. C) 27 g. D) 54 g. Show Answer Correct Answer: D) 54 g. 12. 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. 13. If x and y vary inversely and x = 15 when y = 6, find y when x = 9. A) 9. B) 10. C) 13. D) 30. Show Answer Correct Answer: B) 10. 14. 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) 9. B) 72. C) 36. D) 2. Show Answer Correct Answer: A) 9. 15. T is directly proportional to n$^{2}$.Given t=144 when n=6. Find the equation for t and n. A) T = HN $^{2} $. B) T = HN. C) T = 24n. D) T = 6n$^{2}$. Show Answer Correct Answer: A) T = HN $^{2} $. 16. 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) 6. C) 7. D) NOT. Show Answer Correct Answer: B) 6. 17. In an inverse proportion, what happens to one quantity as the other quantity increases? A) Stays the same. B) Decreases. C) Fluctuates. D) Increases. Show Answer Correct Answer: B) Decreases. 18. 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. 19. 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. 20. 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) 7/5. B) 5/7. C) 16/35. D) 35/16. Show Answer Correct Answer: B) 5/7. 21. 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 = 123. B) K = 20. C) K = 6.15. D) K = 0.16. Show Answer Correct Answer: C) K = 6.15. 22. Y varies directly as x, if y=12 when x=5, find y when x=3 A) 36/5. B) 15/12. C) 12/5. D) 12/15. Show Answer Correct Answer: A) 36/5. 23. If it takes 3 mechanics, 20 hours to build a car, how long will it take 4 mechanics? A) 12 hours. B) 15 hours. C) 10 hours. D) 14 hours. Show Answer Correct Answer: B) 15 hours. 24. A garrison of 500 men has provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for A) 15 days. B) 16 days. C) 17.5 days. D) 18 days. Show Answer Correct Answer: A) 15 days. 25. 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. 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