The value of : $$\left( {1 + \frac{1}{2}} \right)$$ $$\left( {1 + \frac{1}{3}} \right)$$ $$\left( {1 + \frac{1}{4}} \right)$$ ..... $$\left( {1 + \frac{1}{120}} \right)$$
A. 30
B. 40.5
C. 60.5
D. 121
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \left( {1 + \frac{1}{2}} \right)\left( {1 + \frac{1}{3}} \right)\left( {1 + \frac{1}{4}} \right).....\left( {1 + \frac{1}{{120}}} \right) \cr & = \frac{3}{2} \times \frac{4}{3} \times \frac{5}{4}.........\frac{{121}}{{120}} \cr & = \frac{{121}}{2} \cr & = 60.5{\text{ Ans}}. \cr} $$Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
Join The Discussion