B.P.S.C. Teacher (11-12th) 26.08.2023

The value of $\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right).........\left(1+\frac{1}{120}\right)$ is -

a60.5✓ Correct
b30.0
c40.5
dMore than one of the above
eNone of the above

Explanation

$\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right).........\left(1+\frac{1}{120}\right)$ $= \frac{3}{2} \times \frac{4}{3} \times \frac{5}{4} \times .......... \times \frac{121}{120}$ $= \frac{121}{2} \Rightarrow 60.5$

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