What will be the sum of third proportional to 18 and 54 and fourth proportional to 12, 18 and LCM of 12 and 18?

A 162

B 216

C 612

D 256

E 526

Solution

Correct Answer: Option B

Third proportional to 18 and 54 will be (54 × 54)/18 = 162

LCM of 12 and 18 is 36.

Fourth proportional to 12, 18 and 36 will be (36 × 18)/12 = 54

∴ Sum = 162 + 54 = 216

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