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A trader has three kinds of sugar: First kind: 117 kg Second kind: 130 kg Third kind: 143 kg The least number of full casks of equal size
Question

A trader has three kinds of sugar:
First kind: 117 kg
Second kind: 130 kg
Third kind: 143 kg
The least number of full casks of equal size in which this can be stored without mixing is?

A.

30

B.

20

C.

25

D.

15

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.

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