Surendra has 102 litres of Oil A and 224 litres of Oil B. He fills a number of identical containers with the two types of oil in a manner that each container has only one type of oil, and all containers are completely filled. What can be the maximum volume (in litres) of each container that Surendra uses, so that all the oil that Surendra has, of both the types, can be poured into these containers?

Correct option is D

Given:
Surendra has 102 litres of Oil A and 224 litres of Oil B.
He fills identical containers with one type of oil in each container, and all containers are completely filled.
We need to determine the maximum volume (in litres) of each container that can be used to ensure that all the oil can be poured into the containers.
Formula Used:
 To find the maximum volume of each container, we need to find the greatest common divisor (GCD) of 102 and 224
Solution:
Find the GCD of 102 and 224:
Prime factorization of 102 = 2 × 3 × 17
Prime factorization of 224 = $$2^5$$​ × 7
The common factor between 102 and 224 is 2.
The GCD is 2, which is the highest common factor.
Therefore, the maximum volume of each container is 2 litres.