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The value of \( \Large \left(1 +\frac{1}{2}\right) \left(1 + \frac{1}{3}\right) \left(1 + \frac{1}{4}\right) \) ... \( \Large \left(1 + \frac{1}{150}\right) \) is

A) 65.5
B) 50.5
C) 105
D) 75.5

Correct Answer:




D) 75.5

Description for Correct answer:

Given expression

= \( \Large \left(1+\frac{1}{2}\right) \left(1+\frac{1}{3}\right) \left(1+\frac{1}{4}\right).... \left(1+\frac{1}{150}\right) \)

= \( \Large \frac{3}{2} \times \frac{4}{3} \times \frac{5}{4} \times .... \times \frac{151}{150}

= \frac{151}{2} = 75.5 \)

Part of solved Simplification questions and answers : >> Elementary Mathematics >> Simplification

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