A milk seller has three types 403, 465 and 496 gallon of milk. Find the minimum number of bottles which can measure the whole quantity of milk without mixing them?
Answer & explanation
Correct answer: option 2
Quantity of milk in one bottle = HCF of 403, 465, 496
Quantity of milk in one bottle = 31
Number of bottles = \(\frac{Total\;quantity\;of\;milk}{Quantity\;of\;milk\;in\;one\;bottle}\)
= \(\frac{403}{31}\) + \(\frac{465}{31}\) + \(\frac{496}{31}\)
= 13 + 15 + 16 = 44