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1) A cold drink seller had three types of cold drink .403 liters of Ist kind ,434 liters of 2nd kind and 465 liters of 3rd kind .Find the maximum possible number of casks of equal size in which different types of cold drink can be filled without mixing.2) Jannat is preparing dinner plates .She has 12 pieces of chicken and 16 rolls .If she wants to make all the plates identical without any food left over ,what is the greatest number of plates Jannat can prepare? |
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Answer» Answer: 1.) For the least possible number of casks of equal size, the size of each cask must be of the greatest capacity. Hence, the capacity of the cask will be equal to the HCF of 403 l, 434 l and 465 l. Now, HCF of 403 and 434. Required HCF= HCF of 31 and 465 ∴ Required HCF = 31 litres = Capacity of a cask. ∴ required number of casks = 403 + 434 + 465 31 31 31 Hence , required number of casks = 13 + 14 + 15 = 42 Step-by-step explanation: 2.) To make all the plates identical and find the greatest number of plates, we have to find the greatest number which can divide 12 and 16 exactly. That is NOTHING but H.C.F of 12 and 16. 12 = 2 × 2 × 3 16 = 2 × 2 × 2 × 2 Greatest FACTOR is 2 × 2 = 4 H.C.F of 12, 16 = 4 ∴ 12 samosas would be served in 4 plates at the rate of 3 pieces per plate. And 16 rolls would be served in 4 plates at the rate of 4 rolls per plate. In this way, each of the 4 plates would have 3 samosas and 4 rolls. And all the 4 plates would be identical. ∴ |
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