Question Number 22128 by devika last updated on 11/Oct/17 Commented by Samuel KT last updated on 11/Oct/17 $$\mathrm{what}'\mathrm{s}\:\mathrm{the}\:\mathrm{question}?? \\ $$ Commented by $@ty@m last updated…
Question Number 153181 by DELETED last updated on 05/Sep/21 Commented by mr W last updated on 05/Sep/21 $${dear}\:{sir}: \\ $$$${if}\:{you}\:{just}\:{do}\:{your}\:{own}\:{exercises},\:{i}.{e}. \\ $$$${when}\:{you}\:{solve}\:{your}\:{questions}\:{by} \\ $$$${yourself},\:{you}\:{don}'{t}\:{need}\:{to}\:{use}\:{the} \\…
Question Number 153182 by DELETED last updated on 05/Sep/21 Commented by mr W last updated on 05/Sep/21 $${dear}\:{sir}: \\ $$$${if}\:{you}\:{just}\:{do}\:{your}\:{own}\:{exercises},\:{i}.{e}. \\ $$$${when}\:{you}\:{solve}\:{your}\:{questions}\:{by} \\ $$$${yourself},\:{you}\:{don}'{t}\:{need}\:{to}\:{use}\:{the} \\…
Question Number 153173 by DELETED last updated on 05/Sep/21 Commented by mr W last updated on 05/Sep/21 $${dear}\:{sir}: \\ $$$${if}\:{you}\:{just}\:{do}\:{your}\:{own}\:{exercises},\:{i}.{e}. \\ $$$${when}\:{you}\:{solve}\:{your}\:{questions}\:{by} \\ $$$${yourself},\:{you}\:{don}'{t}\:{need}\:{to}\:{use}\:{the} \\…
Question Number 153174 by DELETED last updated on 05/Sep/21 Commented by mr W last updated on 05/Sep/21 $${dear}\:{sir}: \\ $$$${if}\:{you}\:{just}\:{do}\:{your}\:{own}\:{exercises},\:{i}.{e}. \\ $$$${when}\:{you}\:{solve}\:{your}\:{questions}\:{by} \\ $$$${yourself},\:{you}\:{don}'{t}\:{need}\:{to}\:{use}\:{the} \\…
Question Number 22044 by Tinkutara last updated on 10/Oct/17 $$\mathrm{Let}\:{A}\:=\:\left\{\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:…..,\:{n}\right\},\:\mathrm{if}\:{a}_{{i}} \:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{minimum}\:\mathrm{element}\:\mathrm{of}\:\mathrm{the}\:\mathrm{set}\:{A};\:\left(\mathrm{where}\right. \\ $$$${A};\:\mathrm{denotes}\:\mathrm{the}\:\mathrm{subset}\:\mathrm{of}\:{A}\:\mathrm{containing} \\ $$$$\left.\mathrm{exactly}\:\mathrm{three}\:\mathrm{elements}\right)\:\mathrm{and}\:{X}\:\mathrm{denotes} \\ $$$$\mathrm{the}\:\mathrm{set}\:\mathrm{of}\:{A}_{{i}} '\mathrm{s},\:\mathrm{then}\:\mathrm{evaluate}\:\underset{{A}_{{i}} \in{X}} {\sum}{a}. \\ $$ Answered…
Question Number 22042 by Tinkutara last updated on 10/Oct/17 $$\mathrm{Determine}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ordered} \\ $$$$\mathrm{pairs}\:\mathrm{of}\:\mathrm{positive}\:\mathrm{integers}\:\left({a},\:{b}\right)\:\mathrm{such} \\ $$$$\mathrm{that}\:\mathrm{the}\:\mathrm{least}\:\mathrm{common}\:\mathrm{multiple}\:\mathrm{of}\:{a} \\ $$$$\mathrm{and}\:{b}\:\mathrm{is}\:\mathrm{2}^{\mathrm{3}} \centerdot\mathrm{5}^{\mathrm{7}} \centerdot\mathrm{11}^{\mathrm{13}} . \\ $$ Answered by Rasheed.Sindhi last…
Question Number 22043 by Tinkutara last updated on 10/Oct/17 $$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{we}\:\mathrm{can}\:\mathrm{choose}\:\mathrm{3} \\ $$$$\mathrm{squares}\:\mathrm{on}\:\mathrm{a}\:\mathrm{chess}\:\mathrm{board}\:\mathrm{such}\:\mathrm{that}\:\mathrm{one} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{squares}\:\mathrm{has}\:\mathrm{its}\:\mathrm{two}\:\mathrm{sides}\:\mathrm{common} \\ $$$$\mathrm{to}\:\mathrm{other}\:\mathrm{two}\:\mathrm{squares}? \\ $$ Answered by Rasheed.Sindhi last updated on 10/Oct/17…
Question Number 22041 by Tinkutara last updated on 10/Oct/17 $$\mathrm{On}\:\mathrm{the}\:\mathrm{modified}\:\mathrm{chess}\:\mathrm{board}\:\mathrm{10}\:×\:\mathrm{10}, \\ $$$$\mathrm{Amit}\:\mathrm{and}\:\mathrm{Suresh}\:\mathrm{two}\:\mathrm{persons}\:\mathrm{which} \\ $$$$\mathrm{start}\:\mathrm{moving}\:\mathrm{towards}\:\mathrm{each}\:\mathrm{other}.\:\mathrm{Each} \\ $$$$\mathrm{person}\:\mathrm{moving}\:\mathrm{with}\:\mathrm{same}\:\mathrm{constant} \\ $$$$\mathrm{speed}.\:\mathrm{Amit}\:\mathrm{can}\:\mathrm{move}\:\mathrm{only}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{right}\:\mathrm{and}\:\mathrm{upwards}\:\mathrm{along}\:\mathrm{the}\:\mathrm{lines} \\ $$$$\mathrm{while}\:\mathrm{Suresh}\:\mathrm{can}\:\mathrm{move}\:\mathrm{only}\:\mathrm{to}\:\mathrm{the}\:\mathrm{left} \\ $$$$\mathrm{or}\:\mathrm{downwards}\:\mathrm{along}\:\mathrm{the}\:\mathrm{lines}\:\mathrm{of}\:\mathrm{the} \\…
Question Number 22040 by Tinkutara last updated on 10/Oct/17 $$\mathrm{The}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{non}-\mathrm{similar} \\ $$$$\mathrm{triangles}\:\mathrm{which}\:\mathrm{can}\:\mathrm{be}\:\mathrm{formed}\:\mathrm{such} \\ $$$$\mathrm{that}\:\mathrm{all}\:\mathrm{the}\:\mathrm{angles}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{are} \\ $$$$\mathrm{integers}\:\mathrm{is} \\ $$ Commented by mrW1 last updated on 01/Jan/18…