Question Number 99139 by babar last updated on 18/Jun/20 $$\mathrm{One}\:\mathrm{ticket}\:\mathrm{is}\:\mathrm{selected}\:\mathrm{at}\:\mathrm{random}\:\mathrm{from} \\ $$$$\mathrm{100}\:\mathrm{tickets}\:\mathrm{numbered}\:\mathrm{00},\:\mathrm{01},\:\mathrm{02},\:…,\:\mathrm{99} \\ $$$$\mathrm{Suppose}\:{A}\:\mathrm{and}\:{B}\:\mathrm{are}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{and}\: \\ $$$$\mathrm{product}\:\mathrm{of}\:\mathrm{the}\:\mathrm{digit}\:\mathrm{found}\:\mathrm{on}\:\mathrm{the}\:\mathrm{ticket}. \\ $$$$\mathrm{Then}\:{P}\:\left({A}\:=\:\mathrm{7}/{B}=\:\mathrm{0}\right)\:\mathrm{is}\:\mathrm{given}\:\mathrm{by} \\ $$ Answered by 1549442205 last updated…
Question Number 99136 by babar last updated on 18/Jun/20 $$\mathrm{Three}\:\mathrm{persons}\:{A},\:{B},\:{C}\:\:\mathrm{are}\:\mathrm{to}\:\mathrm{speak}\:\mathrm{at}\:\mathrm{a} \\ $$$$\mathrm{function}\:\mathrm{along}\:\mathrm{with}\:\mathrm{five}\:\mathrm{others}.\:\mathrm{If}\:\mathrm{they} \\ $$$$\mathrm{all}\:\mathrm{speak}\:\mathrm{in}\:\mathrm{random}\:\mathrm{order},\:\mathrm{the}\:\mathrm{probqbility} \\ $$$$\mathrm{that}\:{A}\:\mathrm{speaks}\:\mathrm{before}\:{B}\:\mathrm{and}\:{B}\:\mathrm{speaks}\: \\ $$$$\mathrm{before}\:{C}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy…
Question Number 99137 by babar last updated on 18/Jun/20 $$\mathrm{If}\:{m}\:\mathrm{rupee}\:\mathrm{coins}\:\mathrm{and}\:{n}\:\mathrm{ten}\:\mathrm{paise}\:\mathrm{coins} \\ $$$$\mathrm{are}\:\mathrm{placed}\:\mathrm{in}\:\mathrm{a}\:\mathrm{line},\:\mathrm{then}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{the}\:\mathrm{extreme}\:\mathrm{coins}\:\mathrm{are}\:\mathrm{ten}\:\mathrm{paise}\:\mathrm{coins} \\ $$$$\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 33267 by YYM last updated on 14/Apr/18 $$\mathrm{12}\:\mathrm{men}\:\mathrm{can}\:\mathrm{make}\:\mathrm{24}\:\mathrm{articles}\:\mathrm{in}\:\mathrm{6}\:\mathrm{days}. \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{articles}\:\mathrm{can}\:\mathrm{3}\:\mathrm{men}\:\mathrm{make}\:\mathrm{in} \\ $$$$\mathrm{3}\:\mathrm{days}? \\ $$ Commented by mondodotto@gmail.com last updated on 14/Apr/18 $$\mathrm{3} \\…
Question Number 33147 by Ahmad Hajjaj last updated on 11/Apr/18 $$\mathrm{If}\:\:\:{x}^{{m}} \:\:\mathrm{occurs}\:\mathrm{in}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{of} \\ $$$$\left({x}\:+\:\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)^{\mathrm{2}{n}} ,\:\mathrm{the}\:\mathrm{coefficient}\:\mathrm{of}\:{x}^{{m}} \:\mathrm{is} \\ $$ Commented by prof Abdo imad last…
Question Number 33146 by Ahmad Hajjaj last updated on 11/Apr/18 $$\mathrm{If}\:\mathrm{the}\:\mathrm{expression}\: \\ $$$${exp}\left\{\left(\mathrm{1}+\mid\mathrm{cos}\:{x}\mid+\mathrm{cos}^{\mathrm{2}} {x}+\mid\mathrm{cos}^{\mathrm{3}} {x}\mid+\mathrm{cos}^{\mathrm{4}} {x}\right.\right. \\ $$$$\left.\:\left.\:\:\:\:\:\:\:\:\:\:\:+….\infty\right)\mathrm{log}_{{e}} \mathrm{4}\right\}\:\mathrm{satisfies}\:\mathrm{the}\:\mathrm{equation} \\ $$$${y}^{\mathrm{2}} −\mathrm{20}{y}+\mathrm{64}=\mathrm{0}\:\mathrm{for}\:\mathrm{0}<\:{x}\:<\pi,\:\mathrm{then}\:\mathrm{the}\:\mathrm{set} \\ $$$$\mathrm{of}\:\mathrm{values}\:\mathrm{of}\:{x}\:\mathrm{is} \\…
Question Number 33145 by Ahmad Hajjaj last updated on 11/Apr/18 $$\underset{\:\mathrm{0}} {\overset{\mathrm{3}} {\int}}\:\frac{{dx}}{\:\sqrt{{x}+\mathrm{1}}\:+\:\sqrt{\mathrm{5}{x}+\mathrm{1}}}\:= \\ $$ Commented by prof Abdo imad last updated on 11/Apr/18 $${I}\:=\:\int_{\mathrm{0}}…
Question Number 98464 by Vishal Sharma last updated on 14/Jun/20 $$\mathrm{Working}\:\mathrm{individually},\:\mathrm{A},\:\mathrm{B}\:\mathrm{and}\:\mathrm{C}\:\mathrm{can} \\ $$$$\mathrm{finish}\:\mathrm{a}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{work}\:\mathrm{in}\:\mathrm{16}\:\mathrm{days},\:\mathrm{20}\:\mathrm{days} \\ $$$$\mathrm{and}\:\mathrm{30}\:\mathrm{days}\:\mathrm{respectively}.\:\mathrm{In}\:\mathrm{how}\:\mathrm{many} \\ $$$$\mathrm{days}\:\mathrm{can}\:\mathrm{A},\:\mathrm{B}\:\mathrm{and}\:\mathrm{C}\:\mathrm{together}\:\mathrm{complete} \\ $$$$\mathrm{a}\:\mathrm{work}\:\mathrm{which}\:\mathrm{is}\:\mathrm{3}\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{times}\:\mathrm{the}\:\mathrm{previous} \\ $$$$\mathrm{work}? \\ $$ Answered by…
Question Number 98368 by nesreen last updated on 13/Jun/20 $$\mathrm{If}\:\overset{\rightarrow} {{G}}\:\mathrm{is}\:\mathrm{the}\:\mathrm{centroid}\:\mathrm{of}\:\mathrm{a}\:\bigtriangleup{ABC},\:\mathrm{then} \\ $$$$\overset{\rightarrow} {{GA}}+\overset{\rightarrow} {{GB}}+\overset{\rightarrow} {{GC}}\:= \\ $$ Answered by abdomathmax last updated on 13/Jun/20…
Question Number 98369 by nesreen last updated on 13/Jun/20 $$\mathrm{If}\:{A},\:{B}\:\mathrm{are}\:\mathrm{two}\:\mathrm{square}\:\mathrm{matrices}\:\mathrm{such} \\ $$$$\mathrm{that}\:{AB}\:=\:{A}\:\mathrm{and}\:{BA}\:=\:{B},\:\mathrm{then} \\ $$ Answered by bobhans last updated on 13/Jun/20 $$\mathrm{A}^{−\mathrm{1}} \mathrm{AB}=\mathrm{A}^{−\mathrm{1}} \mathrm{A}\:\Rightarrow\:\mathrm{B}\:=\:\mathrm{I} \\…