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07.11.2020, adminEx Which of the following are in inverse proportion? Solution: i As the number of workers increase, the job will take less time to complete. Hence, they are inversely proportional. Hence, they are not inversely proportional.
Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners? Solution: Let, the blank spaces be denoted by a, b, c, d and e. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal.
Help him by completing the following table. Let the blank spaces be denoted by a, b, and c. If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is decreased by 4? We observe that on increasing the number of children, number of sweets got by each will be less. So, they are in inverse proportion. A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?
Solution: If the number of animals increases, then it will take fewer days to last. Then the two quantities are in inverse proportions. Let the required number of days be p. If, he uses 4 persons instead of three, how long should they take to complete the job? Solution: If the number of persons is increased, it will take less number of days to complete the job.
Thus, the two quantities are in inverse proportion. Let the required number of days be k. A batch of bottles was packed in 25 boxes with 12 bottles in each box.
If the same batch is packed using 20 bottles in each box, how many boxes would be filled? Solution: If the number of bottles is increased then the required number of boxes will be decreased. Thus the two quantities are in inverse proportion. Let the required number of boxes be x. 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?
Solution: If the number of machines is increased then less number of days would be required to produced the same number of articles. Let the required number of machines be x. Solution: On increasing the speed, it will take less time to travel a distance. Thus the two quantities are in inverse proportions. Let the required times be x hours.
Two persons could fit new windows in a house in 3 days. How long would the job take now? Solution: On increasing the number of persons, less time will be required to complete a job.
Thus, the quantities are in inverse proportion. 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? Solution: On increasing the duration of periods, the number of periods will be reduced. Let the required duration of each period be x.
Solution: Number of children Number of Sweets 24 5 24 � 4 or 20 a We observe that on increasing the number of children, number of sweets got by each will be less. Number of persons Number of days 3 4 4 k Let the required number of days be k. Number of boxes Number of bottles per box 25 12 x 20 Let the required number of boxes be x. Number of machines Number of days 42 63 x 54 Let the required number of machines be x.
Number of persons Number of days 2 3 i 1 2 � 1 x ii y 1 i Let the required number of days be x. Number of periods Duration of periods in minutes 8 45 9 x Let the required duration of each period be x. RD Sharma Class 12 Solutions. Watch Youtube Videos.
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