If m and n are whole numbers such that mⁿ = 121, then the value of (m - 1)ⁿ⁺¹ is = ?

A. 1

B. 10

C. 121

D. 1000

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {\text{We know that}} \cr & {\text{1}}{{\text{1}}^2} = 121 \cr & {\text{Putting}} \cr & m = 11\& n = 2 \cr & {\text{we get}} \cr & {\left( {m - 1} \right)^{n + 1}} \cr & = {\left( {11 - 1} \right)^{\left( {2 + 1} \right)}} \cr & = {10^3} \cr & = 1000 \cr} $$