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Category: Arithmetic

the-first-n-even-numbers-are-known-if-one-number-is-deleted-then-the-average-of-remaining-numbers-is-2582-50-find-the-value-of-deleted-number-

Question Number 78979 by jagoll last updated on 22/Jan/20 $$\mathrm{the}\:\mathrm{first}\:\mathrm{n}\:\mathrm{even} \\ $$$$\mathrm{numbers}\:\mathrm{are}\:\mathrm{known}.\:\mathrm{if}\:\mathrm{one}\:\mathrm{number} \\ $$$$\mathrm{is}\:\mathrm{deleted}\:\mathrm{then}\:\mathrm{the}\:\mathrm{average} \\ $$$$\mathrm{of}\:\mathrm{remaining}\:\mathrm{numbers}\:\mathrm{is}\:\frac{\mathrm{2582}}{\mathrm{50}}. \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{deleted}\:\mathrm{number}. \\ $$ Commented by mr W last…

show-that-n-Z-E-n-1-2-E-n-2-4-E-n-4-4-n-

Question Number 144482 by ArielVyny last updated on 25/Jun/21 $${show}\:{that}\:\forall{n}\in\mathbb{Z}\: \\ $$$${E}\left(\frac{{n}−\mathrm{1}}{\mathrm{2}}\right)+{E}\left(\frac{{n}+\mathrm{2}}{\mathrm{4}}\right)+{E}\left(\frac{{n}+\mathrm{4}}{\mathrm{4}}\right)={n} \\ $$ Answered by Olaf_Thorendsen last updated on 25/Jun/21 $${x}\:=\:\mathrm{E}\left(\frac{{n}−\mathrm{1}}{\mathrm{2}}\right)+\mathrm{E}\left(\frac{{n}+\mathrm{2}}{\mathrm{4}}\right)+\mathrm{E}\left(\frac{{n}+\mathrm{4}}{\mathrm{4}}\right) \\ $$$$\mathrm{1st}\:\mathrm{case}\::\:{n}\:=\:\mathrm{4}{p} \\…

If-C-226k-find-the-least-integal-value-of-k-that-will-make-C-a-perfect-square-

Question Number 144460 by byaw last updated on 25/Jun/21 $$ \\ $$$$\mathrm{If}\:\mathrm{C}=\mathrm{226}{k}\:\mathrm{find}\:\mathrm{the}\:\mathrm{least} \\ $$$$\mathrm{integal}\:\mathrm{value}\:\mathrm{of}\:{k}\:\mathrm{that}\:\mathrm{will} \\ $$$$\mathrm{make}\:\mathrm{C}\:\mathrm{a}\:\mathrm{perfect}\:\mathrm{square} \\ $$ Answered by Rasheed.Sindhi last updated on 26/Jun/21…

Montrer-que-n-Z-E-n-1-2-E-n-2-4-E-n-4-4-n-

Question Number 144342 by ArielVyny last updated on 25/Jun/21 $${Montrer}\:{que}\:\forall{n}\in\mathbb{Z} \\ $$$${E}\left(\frac{{n}−\mathrm{1}}{\mathrm{2}}\right)+{E}\left(\frac{{n}+\mathrm{2}}{\mathrm{4}}\right)+{E}\left(\frac{{n}+\mathrm{4}}{\mathrm{4}}\right)={n} \\ $$ Answered by Olaf_Thorendsen last updated on 24/Jun/21 $$\mathrm{Selon}\:\mathrm{moi},\:\mathrm{cette}\:\mathrm{formule}\:\mathrm{est}\:\mathrm{fausse}. \\ $$$$\mathrm{According}\:\mathrm{to}\:\mathrm{me},\:\mathrm{this}\:\mathrm{formula}\:\mathrm{is}\:\mathrm{false}. \\…

Find-the-smallest-number-such-that-when-divided-by-18-the-remainder-is-17-When-divided-by-20-the-remainder-is-19-and-when-divided-by-24-the-remainder-is-23-

Question Number 13154 by tawa tawa last updated on 15/May/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{number}\:\mathrm{such}\:\mathrm{that}\:\mathrm{when}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{18}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{is}\:\mathrm{17}, \\ $$$$\mathrm{When}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{20}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{is}\:\mathrm{19}.\:\mathrm{and}\:\mathrm{when}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{24}\:\mathrm{the}\:\mathrm{remainder}\: \\ $$$$\mathrm{is}\:\mathrm{23}.\: \\ $$ Answered by mrW1 last updated on 15/May/17 $${N}=\mathrm{18}{i}+\mathrm{17}=\mathrm{20}{j}+\mathrm{19}=\mathrm{24}{k}+\mathrm{23}…

Question-13140

Question Number 13140 by 9679374420 last updated on 15/May/17 Commented by arnabpapu550@gmail.com last updated on 09/Jun/17 $$\mathrm{continue}\:\mathrm{posting}\:\mathrm{questions}\:\mathrm{in}\:\mathrm{bengali}. \\ $$$$\mathrm{I}\:\mathrm{shall}\:\mathrm{try}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{your}\:\mathrm{problems}. \\ $$ Answered by arnabpapu550@gmail.com last…