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Category: Number Theory

Q-167612-reposted-Determine-all-the-possible-triples-a-b-c-of-positive-integers-for-which-ab-c-bc-a-and-ca-b-are-powers-of-2-

Question Number 167725 by Rasheed.Sindhi last updated on 23/Mar/22 $${Q}#\mathrm{167612}\:{reposted}. \\ $$$$\mathcal{D}{etermine}\:{all}\:{the}\:{possible}\:{triples} \\ $$$$\left({a},{b},{c}\right)\:{of}\:{positive}\:{integers}\:{for}\:{which} \\ $$$${ab}−{c},{bc}−{a}\:{and}\:{ca}−{b}\:{are}\:{powers}\:{of} \\ $$$$\mathrm{2}. \\ $$ Commented by Tinku Tara last…

If-x-an-integer-when-divided-5-give-remainder-2-and-when-divided-4-give-remainder-3-find-the-value-of-x-

Question Number 101888 by bemath last updated on 05/Jul/20 $${If}\:{x}\:{an}\:{integer}\:{when}\:{divided} \\ $$$$\mathrm{5}\:{give}\:{remainder}\:\mathrm{2}\:{and}\:{when}\:{divided} \\ $$$$\mathrm{4}\:{give}\:{remainder}\:\mathrm{3}. \\ $$$${find}\:{the}\:{value}\:{of}\:{x} \\ $$ Commented by Rasheed.Sindhi last updated on 05/Jul/20…

Question-167189

Question Number 167189 by rexford last updated on 09/Mar/22 Commented by MJS_new last updated on 09/Mar/22 $${a}<{b}\wedge{c}<{d}\:\Rightarrow\:\left({a}+{c}\right)<\left({b}+{d}\right) \\ $$$${x}<{y}\wedge−{x}<−{y}\:\Rightarrow\:\left({x}−{x}\right)<\left({y}−{y}\right)\:\Rightarrow\:\mathrm{0}<\mathrm{0}\:\mathrm{false} \\ $$ Terms of Service Privacy…

Find-the-remainder-when-a-41-is-divided-by-1681-b-225-is-divided-by-227-c-15-is-divided-by-19-

Question Number 167110 by nimnim last updated on 06/Mar/22 $$\:\:{Find}\:{the}\:{remainder}\:{when}:− \\ $$$$\:\:\left({a}\right)\:\:\mathrm{41}!\:{is}\:{divided}\:{by}\:\mathrm{1681} \\ $$$$\:\:\left({b}\right)\:\mathrm{225}!\:{is}\:{divided}\:{by}\:\mathrm{227} \\ $$$$\:\:\left({c}\right)\:\mathrm{15}!\:{is}\:{divided}\:{by}\:\mathrm{19} \\ $$ Answered by Rasheed.Sindhi last updated on 06/Mar/22…

Prove-that-the-hypotenuse-never-be-even-of-a-right-angled-triangle-whose-positive-integer-sides-are-relatively-prime-

Question Number 36021 by Rasheed.Sindhi last updated on 27/May/18 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{hypotenuse}\:\mathrm{never}\:\mathrm{be} \\ $$$$\mathrm{even}\:\mathrm{of}\:\mathrm{a}\:\mathrm{right}\:\mathrm{angled}\:\mathrm{triangle}\:\mathrm{whose} \\ $$$$\mathrm{positive}\:\mathrm{integer}\:\mathrm{sides}\:\mathrm{are}\:\mathrm{relatively}\:\mathrm{prime}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

help-me-lim-x-cosec-1-2-x-2-x-

Question Number 167056 by diskoquestion2 last updated on 05/Mar/22 $$\mathrm{help}\:\mathrm{me}!\: \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}cosec}^{−\mathrm{1}} \left(\mathrm{2}\right)\sqrt{{x}\sqrt{\mathrm{2}\sqrt{{x}}}} \\ $$ Answered by diskoquestion2 last updated on 05/Mar/22 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}cosec}^{−\mathrm{1}}…