| The value of \[\left( 1+\frac{1}{2} \right)\left( 1+\frac{1}{3} \right)\left( 1+\frac{1}{4} \right)...\left( 1+\frac{1}{150} \right)\] is |
A) 65. 5
B) 50.5
C) 105
D) 75.5
E) None of these
Correct Answer: D
Solution :
| \[\left( 1+\frac{1}{2} \right)\left( 1+\frac{1}{3} \right)\left( 1+\frac{1}{4} \right)...\left( 1+\frac{1}{150} \right)\] |
| \[=\frac{3}{2}\times \frac{4}{3}\times \frac{5}{4}\times ...\times \frac{151}{150}=\frac{151}{2}=75.5\] |
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