ABC26GN1069 · Simplification

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

The expression $\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right)\left(1+\frac{1}{5}\right) \cdots\left(1+\frac{1}{n}\right)$ simplifies to
(a)$\frac{n+1}{3}$
(b)$\frac{n}{n+1}$
(c)$\frac{3}{n}$
(d)$1+\frac{1}{3} \cdot \frac{1}{4} \cdot \frac{1}{5} \cdots \cdot \frac{1}{n}$
Answer
Answer (as printed): A
Explanation
Given exp. $=\frac{4}{3} \times \frac{5}{4} \times \frac{6}{5} \times \ldots . \times \frac{n+1}{n}=\frac{n+1}{3}$.

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

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