Question 105

What is the value of $$999\frac{1}{3}+999\frac{1}{6}+999\frac{1}{12}+999\frac{1}{20}+999\frac{1}{30}$$?

Solution

Expression : $$999\frac{1}{3}+999\frac{1}{6}+999\frac{1}{12}+999\frac{1}{20}+999\frac{1}{30}$$

= $$(999+999+999+999+999)+(\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30})$$

= $$(4995)+(\frac{20+10+5+3+2}{60})$$

= $$4995+\frac{40}{60}$$

= $$4995\frac{4}{6}$$

=> Ans - (D)

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