When simplified, the product (2-1/3) (2-3/5) (2-5/7) … (2-997/999) is equal to · ABC26GN1070

Subject: General Aptitude · Chapter: Simplification · Exam: R.R.B. 2007

When simplified, the product $\left(2-\frac{1}{3}\right)\left(2-\frac{3}{5}\right)$ $\left(2-\frac{5}{7}\right) \cdots\left(2-\frac{997}{999}\right)$ is equal to

(a)$\frac{5}{999}$

(b)$\frac{1001}{999}$

(c)$\frac{1}{1001}$

(d)$\frac{1001}{3}$

Answer

Answer (as printed): D

Explanation

Given exp. $=\frac{5}{3} \times \frac{7}{5} \times \frac{9}{7} \times \ldots . . \times \frac{1001}{999}=\frac{1001}{3}$.

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

Study loop for Simplification

1. Practise the PYQsPrevious-year questions, with answers

· Browse this chapter in the app