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
403 = 31×13
434 = 31×7×2
465 = 31×5×3
HCF = 31
So, biggest measure must be there to measure all the different quantities exactly = 31 kg.So the correct option is (C)