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Question

A milk vendor has 93 litres of cow pure milk, 62 litres of toned milk and 124 litres of double toned milk. If he wants to pack them in cans so that each can contains same litres of milk and does not want to mix any two kinds of milk in a can, then the least number of can required will be

A 3 Correct Answer Incorrect Answer
B 6 Correct Answer Incorrect Answer
C 8 Correct Answer Incorrect Answer
D 11 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

For least or minimum number of cans, the maximum capacity cans will be required. The maximum capacity cans for required quantity  For this, we take H.C.F of given quantities H.C.F of (93 + 62 + 124) = 31 Maximum Capacity of a can = 31 litre Number of cans of cow milk = 93/31= 3 Number of cans of toned milk = 62/31 = 2 Number of cans of double toned milk = 124/31 = 4  Total number of cans = 3 + 2 + 4 = 9

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