Question Number 17252 by Tinkutara last updated on 02/Jul/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{of}\:\mathrm{the}\:\mathrm{number} \\ $$$$\mathrm{2}^{\mathrm{2000}} \mathrm{5}^{\mathrm{2004}} \:\mathrm{is} \\ $$$$\mathrm{Will}\:\mathrm{it}\:\mathrm{be}\:\mathrm{13}\:\mathrm{or}\:\mathrm{14}? \\ $$ Commented by prakash jain last updated on…
Question Number 148211 by Tawa11 last updated on 26/Jul/21 Answered by Kamel last updated on 26/Jul/21 $${W}_{\mathrm{0}} \left({x}\right),\:\:\mid{x}\mid<\frac{\mathrm{1}}{{e}}. \\ $$ Terms of Service Privacy Policy…
Question Number 17142 by RasheedSoomro last updated on 01/Jul/17 $$\mathrm{Find}\:\mathrm{two}\:\mathrm{primes}\:{a}\:\mathrm{and}\:{b}\:\mathrm{such} \\ $$$$\mathrm{that}\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:{a}−{b}=\mathrm{995} \\ $$ Commented by prakash jain last updated on 01/Jul/17 $$\mathrm{All}\:\mathrm{prime}\:\mathrm{except}\:\mathrm{2}\:\mathrm{are}\:\mathrm{odd}.…
Question Number 82628 by jagoll last updated on 23/Feb/20 $${If}\:{a},{b},\:{c}\:{are}\:{in}\:{Harmonic}\:{progression} \\ $$$${find}\:{the}\:{value}\:{of}\:\frac{{a}+{b}}{{b}−{a}}\:+\:\frac{{b}+{c}}{{b}−{c}}\:.\:? \\ $$ Commented by $@ty@m123 last updated on 23/Feb/20 $$\frac{\mathrm{1}}{{a}},\:\frac{\mathrm{1}}{{b}},\frac{\mathrm{1}}{{c}}\:{are}\:{in}\:{AP} \\ $$$$\Rightarrow\frac{\mathrm{1}}{{b}}−\frac{\mathrm{1}}{{a}}=\frac{\mathrm{1}}{{c}}−\frac{\mathrm{1}}{{b}}=\boldsymbol{{d}},\:{say} \\…
Question Number 16880 by Tinkutara last updated on 27/Jun/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{positive}\:\mathrm{integers} \\ $$$$\mathrm{less}\:\mathrm{than}\:\mathrm{or}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{300}\:\mathrm{that}\:\mathrm{are} \\ $$$$\mathrm{multiples}\:\mathrm{of}\:\mathrm{3}\:\mathrm{or}\:\mathrm{5},\:\mathrm{but}\:\mathrm{are}\:\mathrm{not} \\ $$$$\mathrm{multiples}\:\mathrm{of}\:\mathrm{10}\:\mathrm{or}\:\mathrm{15}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 15891 by RasheedSoomro last updated on 15/Jun/17 $$\mathrm{Find}\:\mathrm{out}\:\boldsymbol{\mathrm{last}}\:\boldsymbol{\mathrm{odd}}\:\boldsymbol{\mathrm{digit}}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{expansion}\:\mathrm{of}\:\mathrm{1000}! \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 15889 by RasheedSoomro last updated on 15/Jun/17 $$\mathrm{Find}\:\mathrm{out}\:\boldsymbol{\mathrm{first}}\:\boldsymbol{\mathrm{non}}-\boldsymbol{\mathrm{five}}\:\boldsymbol{\mathrm{digit}}\:\mathrm{from}\:\mathrm{right} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{of}\:\left(\mathrm{1}×\mathrm{3}×\mathrm{5}×…×\mathrm{625}\right). \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 15835 by RasheedSoomro last updated on 15/Jun/17 $$\:\mathrm{Number}\:\mathrm{of}\: \\ $$$$\mathrm{decimal}\:\:\mathrm{digits}\: \\ $$$$\mathrm{in}\:\:\mathrm{50}!\:\mathrm{is} \\ $$ Commented by RasheedSoomro last updated on 15/Jun/17 $$\mathrm{By}\:\mathrm{decimal}\:\mathrm{digits}\:\mathrm{I}\:\mathrm{mean}\:\mathrm{digits}\:\mathrm{in}\:\mathrm{10}-\mathrm{base}\:\mathrm{system}. \\…
Question Number 15788 by tawa tawa last updated on 13/Jun/17 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{rational}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\:\:\mathrm{a}\:+\:\mathrm{b}\:=\:\mathrm{ab} \\ $$ Commented by mrW1 last updated on 14/Jun/17 $$\mathrm{b}=\frac{\mathrm{n}}{\mathrm{m}} \\ $$$$\mathrm{a}+\frac{\mathrm{n}}{\mathrm{m}}=\mathrm{a}×\frac{\mathrm{n}}{\mathrm{m}} \\ $$$$\left(\frac{\mathrm{n}}{\mathrm{m}}−\mathrm{1}\right)\mathrm{a}=\frac{\mathrm{n}}{\mathrm{m}}…
Question Number 15789 by tawa tawa last updated on 13/Jun/17 $$\mathrm{Prove}\:\mathrm{that}:\:\:\mathrm{2}^{\mathrm{2}^{\mathrm{2n}\:+\:\mathrm{1}} \:} +\:\mathrm{2}^{\mathrm{2}^{\mathrm{2n}} } \:+\:\mathrm{1}\:,\:\:\mathrm{is}\:\mathrm{never}\:\mathrm{a}\:\mathrm{prime}\:\mathrm{for}\:\mathrm{any}\:\mathrm{positive}\:\mathrm{n}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com