When was the Small and Marginal Farmers Development Programme launched? (IFFCO 2022)

✅Explanation:
To find the least number of casks of equal size, we need to find the greatest common factor (GCD) or highest common factor (HCF) of the three quantities of sugar.

• Here's how to find the GCD:

✏Prime Factorization:
-117 = 3 x 3 x 13
-130 = 2 x 5 x 13
-143 = 11 x 13
-Identify Common Factors: The only common factor of all three numbers is 13.
-GCD: Therefore, the GCD of 117, 130, and 143 is 13.

• This means the trader needs 13 casks. To find the total number of casks, divide each quantity of sugar by 13:
-117 kg / 13 kg/cask = 9 casks
-130 kg / 13 kg/cask = 10 casks
-143 kg / 13 kg/cask = 11 casks
Total casks = 9 + 10 + 11 = 23 casks