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Category: Arithmetic

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…

S-x-is-the-sum-of-49-terms-of-AP-The-first-term-is-1-2-x-3-and-the-difference-is-7-x-If-S-x-maximum-the-value-of-10-th-term-is-

Question Number 13075 by Joel577 last updated on 13/May/17 $${S}\left({x}\right)\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{49}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{AP} \\ $$$$\mathrm{The}\:\mathrm{first}\:\mathrm{term}\:\mathrm{is}\:\frac{\mathrm{1}}{\mathrm{2}}{x}^{\mathrm{3}} \:\mathrm{and}\:\mathrm{the}\:\mathrm{difference} \\ $$$$\mathrm{is}\:\left(\mathrm{7}\:−\:{x}\right) \\ $$$$\mathrm{If}\:{S}\left({x}\right)\:\mathrm{maximum},\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{10}^{\mathrm{th}} \:\mathrm{term}\:\mathrm{is}\:… \\ $$ Commented by ajfour last updated…

x-5-ax-3-bx-2-cx-d-0-x-2-px-q-x-3-rx-2-sx-t-0-then-elimating-r-s-t-pq-p-2-a-d-q-b-2pq-q-2-p-2-a-dp-q-c-q-2-please-try-bringing-into-single-variable-sir-

Question Number 65959 by ajfour last updated on 06/Aug/19 $${x}^{\mathrm{5}} +{ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}=\mathrm{0} \\ $$$$\left({x}^{\mathrm{2}} +{px}+{q}\right)\left({x}^{\mathrm{3}} +{rx}^{\mathrm{2}} +{sx}+{t}\right)=\mathrm{0} \\ $$$${then}\:{elimating}\:{r},{s},{t}\: \\ $$$$\:{pq}\left({p}^{\mathrm{2}} +{a}\right)+{d}={q}\left({b}+\mathrm{2}{pq}\right) \\ $$$$\:{q}^{\mathrm{2}}…

4665789-567-

Question Number 142 by shahid.ansari56@yahoo.com last updated on 25/Jan/15 $$\mathrm{4665789}\boldsymbol{\div}\mathrm{567} \\ $$ Answered by 123456 last updated on 13/Dec/14 $$\frac{\mathrm{4665789}}{\mathrm{567}}=\frac{\mathrm{1555263}}{\mathrm{189}}=\frac{\mathrm{518421}}{\mathrm{63}}=\frac{\mathrm{172807}}{\mathrm{21}} \\ $$ Terms of Service…