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Question

Mathematics Question on Number Systems

Three different containers contain differeose nt quantities of a mixture of milk and water, wh measurements are 403 kg, 434 kg and 465 kg. What biggest measure must be there to measure all the different quantities exactly?

A

70 kg

B

51 kg

C

31 kg

D

41 kg

Answer

31 kg

Explanation

Solution

Different containers contain different quantities of a mixture of milk and water, with measurements are 403 kg, 434 kg and 465 kg
Required answer = HCF of measurements of 403, 434 and 465
403403 == 31×1331\times13
434434 == 31×7×231\times7\times2
465465 == 31×5×331\times5\times3
HCF == 3131
So, biggest measure must be there to measure all the different quantities exactly = 31 kg.So the correct option is (C)