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If for any two natural numbers a and b, ab = 125, then ba is
Question

If for any two natural numbers a and b, ab = 125, then ba is

A.

241

B.

242

C.

243

D.

247

Correct option is C

GIVEN:
​ab=125a^b = 125 \\​​
CALCULATION:
​125=53=>a=5, b=3125 = 5^3 \Rightarrow a = 5,\ b = 3 \\​​
Now, find ba: b^a: \\​​
​ba=35=3×3×3×3×3=243b^a = 3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243 \\​​
∴ The value of ba is 243 b^a \text{ is } 243 \\​​
Correct answer is (c) 243.

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