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Question Number 18575 by Tinkutara last updated on 25/Jul/17
$$\mathrm{If}\:\left(\:\right)\:\mathrm{represents}\:\mathrm{the}\:\mathrm{least}\:\mathrm{integer}\:\mathrm{function}, \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\left(\mathrm{10}\right)\:+\:\left(\mathrm{10}\:+\:\frac{\mathrm{1}}{\mathrm{20}}\right)\:+ \\ $$$$\left(\mathrm{10}\:+\:\frac{\mathrm{2}}{\mathrm{20}}\right)\:+\:...\:+\:\left(\mathrm{10}\:+\:\frac{\mathrm{19}}{\mathrm{20}}\right)\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{219} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{200} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{220} \\ $$$$\left(\mathrm{4}\right)\:\mathrm{221} \\ $$
Answered by prakash jain last updated on 25/Jul/17
$$\left(\mathrm{10}\right)=\mathrm{10} \\ $$$$\left(\mathrm{10}+\frac{\mathrm{1}}{\mathrm{20}}\right)...\mathrm{to}\:\left(\mathrm{10}+\frac{\mathrm{19}}{\mathrm{20}}\right)=\mathrm{11} \\ $$$$\mathrm{10}+\mathrm{11}×\mathrm{19}=\mathrm{219} \\ $$
Commented by Tinkutara last updated on 25/Jul/17
$$\mathrm{Thanks}\:\mathrm{Sir}! \\ $$