ABC26GN1964 · Surds and Indices

Subject: General Aptitude · Chapter: Surds and Indices · Exam: 2001 · Marks: · Difficulty:

If $m$ and $n$ are whole numbers suchthat $m^{n}=121$, then the value of $(m-1)^{n+1}$ is

(a)1

(b)10

(c)121

(d)1000

Answer

Answer (as printed): D

Explanation

We know that $11^{2}=121$. Putting $m=11$ and $n=2$, we get : $$(m-1)^{n+1}=(11-1)^{(2+1)}=10^{3}=1000 .$$

Explanation as extracted from the printed page; notation may be imperfect.