Quantitative Aptitude Ques 1582

Question: The value of $ ( 1+\frac{1}{2} )( 1+\frac{1}{3} )( 1+\frac{1}{4} )…( 1+\frac{1}{150} ) $ is

Options:

A) 65. 5

B) 50.5

C) 105

D) 75.5

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ ( 1+\frac{1}{2} )( 1+\frac{1}{3} )( 1+\frac{1}{4} )…( 1+\frac{1}{150} ) $ $ =\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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