Find the value of $$\frac{1}{5} + $$ $$999\frac{{494}}{{495}} \times 99$$ = ?
A. 90000
B. 99000
C. 90900
D. 99990
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \Leftrightarrow \frac{1}{5} + 999\frac{{494}}{{495}} \times 99\, \cr & \Rightarrow \frac{1}{5} + \left[ {999 + \frac{{494}}{{495}}} \right] \times 99\, \cr & \Rightarrow \frac{1}{5} + \left[ {999 + 1 - \frac{1}{{495}}} \right] \times 99 \cr & \Rightarrow \frac{1}{5} + \left[ {1000 - \frac{1}{{495}}} \right] \times 99 \cr & \Rightarrow \frac{1}{5} + 99000 - \frac{1}{5} \cr & \Rightarrow 99000\, \cr} $$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
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