Question Number 206353 by BaliramKumar last updated on 12/Apr/24
Commented by Rasheed.Sindhi last updated on 15/Apr/24
$${I}\:{think}\:\mathrm{15}\:{is}\:{wrong}\:{here},\:{it}\:{should} \\ $$$${be}\:\mathrm{14}\:{or}\:{otherwise}\:{the}\:{answer}\:{is} \\ $$$${not}\:{correct}. \\ $$
Commented by Rasheed.Sindhi last updated on 15/Apr/24
$$\mathrm{PLEASE}\:\mathrm{response}. \\ $$
Commented by BaliramKumar last updated on 15/Apr/24
$$\mathrm{This}\:\mathrm{is}\:\mathrm{solution}\: \\ $$$$\mathrm{i}\:\mathrm{am}\:\mathrm{no}\:\mathrm{under}\:\mathrm{stand} \\ $$
Commented by BaliramKumar last updated on 15/Apr/24
Commented by Rasheed.Sindhi last updated on 15/Apr/24
$$\bullet{Very}\:{poor}\:'{physical}\:{health}'\:{of} \\ $$$$\:\:\:{the}\:{solution}!\:\mathcal{I}\:'{ll}\:{try}\:{its}\:{better} \\ $$$$\:\:\:{version}\:{below}. \\ $$$$\bullet{Coudn}'{t}\:{say}\:{about}\:'{mental}\:{health}' \\ $$$$\:\:{i}-{e}\:\:'{logical}\:{fitness}'\:{of}\:{the}\:{solution}. \\ $$$$\:\:\:\left(\mathcal{T}{here}\:{are}\:{many}\:{exerts}\:{for}\:{this}\right) \\ $$$$\:\:\:{albeit}\:{I}'{ll}\:{give}\:{my}\:{own}\:{understanding}\: \\ $$$$\:\:\:{about}\:{the}\:{question},\:{although}\:{after}\: \\ $$$$\:\:\:{reposting}\:{it}. \\ $$
Commented by Rasheed.Sindhi last updated on 15/Apr/24
$$\mathrm{14}.\left(\mathrm{2}\right)\:{Number}\:{of}\:{soldiers}\:{standing} \\ $$$$\:\:\:\:\:{in}\:{the}\:{hollow}\:{square}\:{with}\:{depth} \\ $$$$\:\:\:\:\:{of}\:\mathrm{8},\mathrm{10},\mathrm{12}\:{or}\:\mathrm{15}=\mathrm{4}×{lcm}\left(\mathrm{8},\mathrm{10},\right. \\ $$$$\left.\:\:\:\:\mathrm{12},\mathrm{15}\right)\:{because}\:{they}\:{will}\:{stand} \\ $$$$\:\:\:\:{on}\:{the}\:{perimeter}\:{of}\:{the}\:{square} \\ $$$$\:\:\:\:{only}…{least}\:{common}\:{multiple}\: \\ $$$$\:\:\:{of}\:\mathrm{8},\mathrm{10},\mathrm{12}\:{and}\:\mathrm{15}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{2}\:\underline{\mid\mathrm{8}\:,\mathrm{10},\:\mathrm{12},\:\mathrm{15}} \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{2}\:\underline{\mid\mathrm{4},\:\:\:\mathrm{5},\:\:\:\:\mathrm{6},\:\:\mathrm{15}} \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{3}\:\underline{\mid\mathrm{2},\:\:\:\mathrm{5},\:\:\:\:\mathrm{3},\:\:\mathrm{15}} \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{5}\:\underline{\mid\mathrm{2},\:\:\:\mathrm{5},\:\:\:\:\mathrm{1},\:\:\:\:\mathrm{5}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2},\:\:\:\:\mathrm{1},\:\:\:\:\mathrm{1},\:\:\:\:\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:\:\:…{LS}=\:\mathrm{2}×\mathrm{2}×\mathrm{3}×\mathrm{5}×\mathrm{2}=\mathrm{120} \\ $$$$\:\mathcal{T}{he}\:{total}\:{number}\:{required}\:{in}\:{the}\:{hollow}\:{square} \\ $$$$\:\:\:\:\:=\mathrm{4}×\mathrm{4}×\mathrm{30} \\ $$$${But}\:{at}\:{least}\:{the}\:{number}\:{of}\:{soldiers} \\ $$$${standing}\:{in}\:{a}\:{solid}\:{square} \\ $$$$\:\:\:\:=\mathrm{4}×\mathrm{4}×\mathrm{30}×\mathrm{30}=\mathrm{14400} \\ $$