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Author: Tinku Tara

Determine-number-s-that-is-are-comprised-of-four-distinct-prime-factors-such-that-difference-of-largest-and-smallest-prime-factors-is-equal-to-the-sum-of-remaining-two-factors-Prop

Question Number 9025 by Rasheed Soomro last updated on 15/Nov/16 $$\mathrm{Determine}\:\mathrm{number}/\mathrm{s}\:\mathrm{that}\:\mathrm{is}/\mathrm{are}\:\mathrm{comprised} \\ $$$$\mathrm{of}\:\mathrm{four}\:\mathrm{distinct}\:\mathrm{prime}\:\mathrm{factors}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{difference}\:\mathrm{of}\:\mathrm{largest}\:\mathrm{and}\:\mathrm{smallest}\:\mathrm{prime} \\ $$$$\mathrm{factors}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{remaining} \\ $$$$\mathrm{two}\:\mathrm{factors}.\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:_{\mathrm{Propsed}\:\mathrm{by}\:\mathrm{Rasheed}\:\mathrm{Soomro}} \\ $$ Commented by FilupSmith last…

The-sum-of-N-Arithmetic-means-between-two-numbers-is-20-If-last-mean-is-double-of-1st-mean-and-one-is-three-times-the-another-number-Find-the-numbers-

Question Number 74559 by lalitchand last updated on 26/Nov/19 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{N}\:\mathrm{Arithmetic}\:\mathrm{means}\:\mathrm{between}\:\mathrm{two}\:\mathrm{numbers} \\ $$$$\mathrm{is}\:\mathrm{20}.\:\mathrm{If}\:\mathrm{last}\:\mathrm{mean}\:\mathrm{is}\:\mathrm{double}\:\mathrm{of}\:\mathrm{1st}\:\mathrm{mean} \\ $$$$\mathrm{and}\:\mathrm{one}\:\mathrm{is}\:\mathrm{three}\:\mathrm{times}\:\mathrm{the}\:\mathrm{another}\:\mathrm{number}.\: \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{numbers} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

What-is-the-remainder-when-13-5-14-5-15-5-16-5-is-divided-by-29-

Question Number 9021 by tawakalitu last updated on 14/Nov/16 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{when}\: \\ $$$$\left(\mathrm{13}^{\mathrm{5}} \:+\:\mathrm{14}^{\mathrm{5}} \:+\:\mathrm{15}^{\mathrm{5}} \:+\:\mathrm{16}^{\mathrm{5}} \right)\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{29}\:?\: \\ $$ Answered by aydnmustafa1976 last updated on 14/Nov/16…

Question-74557

Question Number 74557 by ajfour last updated on 26/Nov/19 Commented by ajfour last updated on 26/Nov/19 $${In}\:{a}\:{fixed}\:{frictionless}\:{crucible} \\ $$$${in}\:{the}\:{form}\:{of}\:{hollow}\:{hemisphere}, \\ $$$${radius}\:{R},\:{a}\:{small}\:{mass}\:{m}\:{is}\: \\ $$$$\:{released}\:{with}\:{a}\:{string}\:\left({length}\right. \\ $$$$\left.\:{b}\:<\:\sqrt{\mathrm{2}}\:{R}\:\right)\:{attaching}\:{it}\:{to}\:{a}\:{point}…

Question-9020

Question Number 9020 by tawakalitu last updated on 14/Nov/16 Commented by RasheedSoomro last updated on 20/Nov/16 $$\mathrm{By}\:\left[\frac{\mathrm{ax}^{\mathrm{2}} +\mathrm{bx}+\mathrm{c}}{\mathrm{2x}+\mathrm{b}}\right]\:\mathrm{do}\:\mathrm{you}\:\mathrm{mean}\:\mathrm{bracket}\:\mathrm{function}? \\ $$ Answered by Rasheed Soomro last…

Given-that-log-4-y-1-log-4-x-y-k-and-log-2-y-1-log-2-x-k-1-Show-that-y-2-1-8-k-Hence-deduce-the-value-of-y-and-x-when-k-1-

Question Number 140089 by otchereabdullai@gmail.com last updated on 04/May/21 $$\mathrm{Given}\:\mathrm{that}\:\mathrm{log}_{\mathrm{4}} \left(\mathrm{y}−\mathrm{1}\right)+\mathrm{log}_{\mathrm{4}} \left(\frac{\mathrm{x}}{\mathrm{y}}\right)=\mathrm{k} \\ $$$$\mathrm{and}\:\mathrm{log}_{\mathrm{2}} \left(\mathrm{y}+\mathrm{1}\right)−\mathrm{log}_{\mathrm{2}} \mathrm{x}=\mathrm{k}−\mathrm{1} \\ $$$$\mathrm{Show}\:\mathrm{that}\:\mathrm{y}^{\mathrm{2}} =\mathrm{1}+\mathrm{8}^{\mathrm{k}} \\ $$$$\mathrm{Hence}\:\mathrm{deduce}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{y}\:\mathrm{and}\:\mathrm{x}\: \\ $$$$\mathrm{when}\:\mathrm{k}=\mathrm{1} \\ $$…

Find-the-superimum-of-the-set-n-2-2-n-

Question Number 74554 by shubham90412@gmail.com last updated on 26/Nov/19 $$\boldsymbol{{Find}}\:\boldsymbol{{the}}\:\boldsymbol{{superimum}}\:\boldsymbol{{of}}\:\boldsymbol{{the}}\:\boldsymbol{{set}}\:\left\{\frac{\boldsymbol{{n}}^{\mathrm{2}} }{\mathrm{2}^{\boldsymbol{{n}}} }\right\} \\ $$ Answered by MJS last updated on 26/Nov/19 $$\mathrm{trying} \\ $$$${S}=\left\{\mathrm{0},\:\frac{\mathrm{1}}{\mathrm{2}},\:\mathrm{1},\:\frac{\mathrm{9}}{\mathrm{8}},\:\mathrm{1},\:\frac{\mathrm{25}}{\mathrm{32}},\:\frac{\mathrm{9}}{\mathrm{16}},\:…\right\} \\…