Correct option is A
To find the least number of full casks, we need to determine the HCF (Highest Common Factor) of 117, 130, and 143.
Prime factorization:
117 = 3 × 3 × 13
130 = 2 × 5 × 13
143 = 11 × 13
The HCF is 13.
Number of casks needed = (117 ÷ 13) + (130 ÷ 13) + (143 ÷ 13)
= 9 + 10 + 11 = 30
Thus, the correct answer is 30.