A shopkeeper has 50 litres of oil in one can and 35 litres of oil in another. The maximum capacity of the container that can measure the oil of either can exact number of times is:

Correct option is B

Given:
First can contains 50 litres of oil.
Second can contains 35 litres of oil.
Solution:
GCD of 50 and 35 using the Euclidean Algorithm:
Divide 50 by 35:
50 = 35 $$\times 1 +$$​15
Now, divide 35 by the remainder 15:
35 = 15$$\times 2 + 5$$​
Next, divide 15 by the new remainder 5:
15 = $$5 \times 3 + 0$$​
Since the remainder is now 0, the GCD is the last non-zero remainder, which is 5.
A 5-litre container can measure:
50 litres exactly  $$\frac{50}{5} =$$​10 times.

35 litres exactly$$\frac{35}{5}$$​= 7  times.
The maximum capacity of the container that can measure both quantities exactly is 5 litres.