Category: Arithmetic

Question Number 195390 by mathlove last updated on 01/Aug/23 $$whichprimenumberbetween$$$$the20and1000$$ Answered by BaliramKumar last updated on 01/Aug/23 $$1\mathrm{to}1000=168\mathrm{prime}\mathrm{numbers}$$$$\mathrm{1}\:\mathrm{to}\:\mathrm{20}\:=\:\mathrm{8}\:\mathrm{prime}\:\mathrm{numbers} \…

Question Number 195064 by alcohol last updated on 23/Jul/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 194552 by BaliramKumar last updated on 09/Jul/23 $$\mathrm{If}a,b\mathrm{are}\mathrm{real}\mathrm{numbers}\mathrm{\&}{4\cos }^2\theta =\frac{4a^2+9b^2+5}{a+3b},$$$$\mathrm{then}\mathrm{the}\mathrm{value}\mathrm{of}(a+b)\mathrm{will}\mathrm{be}:$$$$\left(\mathrm{a}\right)\frac{7}{6}\left(\mathrm{b}\right)\frac{5}{4}\left(\mathrm{c}\right)\frac{11}{6}\left(\mathrm{d}\right)\frac{17}{12}$$ Commented by Frix last updated on…

Question Number 194475 by BaliramKumar last updated on 08/Jul/23 $$\mathrm{How}\mathrm{many}\mathrm{sets}\mathrm{of}\mathrm{two}\mathrm{factors}\mathrm{of}720\mathrm{are}$$$$\mathrm{coprime}\mathrm{to}\mathrm{each}\mathrm{other}?$$$$\left(\mathrm{A}\right)63\left(\mathrm{B}\right)64\left(\mathrm{C}\right)65\left(\mathrm{D}\right)67$$$$$$ Commented by MM42 last updated on 08/Jul/23…

Question Number 194421 by York12 last updated on 06/Jul/23 $$$$$$Ifa,b,c>0,suchthata+b+c=3$$$$provethat$$$$\frac{1}{1+ab}+\frac{1}{1+ac}+\frac{1}{1+bc}⩾\frac{9}{2(\sqrt{a}+\sqrt{b}+\sqrt{c})}$$ Commented by York12 last updated on 07/Jul/23…