Question

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 1

The Correct Option is C

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
\(403\) \(=\) \(31\times13\)
\(434\) \(=\) \(31\times7\times2\)
\(465\) \(=\) \(31\times5\times3\)
HCF \(=\) \(31\)
So, biggest measure must be there to measure all the different quantities exactly = 31 kg.So the correct option is (C)