The value of (1-1/2 ) (1-1/3 ) (1-1/4 ) (1-1/m ) is

ABC26GN1068 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: 2008 · Marks: · Difficulty:

The value of $\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right) \cdots\left(1-\frac{1}{m}\right)$ is

(a)1

(b)$\frac{1}{m}$

(c)$\frac{1}{2 m}$

(d)$\frac{1}{1 \cdot 2 \cdot 3 \cdots \cdot(m-1) m}$

Answer

Answer (as printed): B

Explanation

Given $\exp .=\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} \times \ldots . . \times \frac{m-1}{m}=\frac{1}{m}$.

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