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Category: Logic

a-practical-example-1-construction-worker-can-excavate-a-pit-in-3-hours-how-long-will-it-take-3-workers-to-do-this-job-

Question Number 94457 by MJS last updated on 18/May/20 $${a}\:{practical}\:{example} \\ $$$$\mathrm{1}\:\mathrm{construction}\:\mathrm{worker}\:\mathrm{can}\:\mathrm{excavate}\:\mathrm{a} \\ $$$$\mathrm{pit}\:\mathrm{in}\:\mathrm{3}\:\mathrm{hours}.\:\mathrm{how}\:\mathrm{long}\:\mathrm{will}\:\mathrm{it}\:\mathrm{take}\:\mathrm{3} \\ $$$$\mathrm{workers}\:\mathrm{to}\:\mathrm{do}\:\mathrm{this}\:\mathrm{job}? \\ $$ Answered by MJS last updated on 18/May/20…

In-a-Gregorian-calendar-a-year-finishing-with-00-is-a-leap-year-if-only-it-s-vintage-is-divisible-by-400-Also-the-1-st-January-1900-was-a-Monday-1-Show-that-a-year-with-the-vintage-finishing-w

Question Number 92687 by Ar Brandon last updated on 08/May/20 $$\mathrm{In}\:\mathrm{a}\:\mathrm{Gregorian}\:\mathrm{calendar},\:\mathrm{a}\:\mathrm{year}\:\mathrm{finishing}\:\mathrm{with} \\ $$$$\mathrm{00}\:\mathrm{is}\:\mathrm{a}\:\mathrm{leap}\:\mathrm{year}\:\mathrm{if}\:\mathrm{only}\:\mathrm{it}'\mathrm{s}\:\mathrm{vintage}\:\mathrm{is}\:\mathrm{divisible} \\ $$$$\mathrm{by}\:\mathrm{400}.\:\mathrm{Also},\:\mathrm{the}\:\mathrm{1}^{\mathrm{st}} \:\mathrm{January}\:\mathrm{1900}\:\mathrm{was}\:\mathrm{a} \\ $$$$\mathrm{Monday}. \\ $$$$\mathrm{1}\backslash\:\mathrm{Show}\:\mathrm{that}\:\mathrm{a}\:\mathrm{year}\:\mathrm{with}\:\mathrm{the}\:\mathrm{vintage}\:\mathrm{finishing}\:\mathrm{with} \\ $$$$\mathrm{00}\:\mathrm{cannot}\:\mathrm{begin}\:\mathrm{on}\:\mathrm{a}\:\mathrm{Sunday} \\ $$$$\mathrm{2}\backslash\:\mathrm{Show}\:\mathrm{that}\:\mathrm{for}\:\mathrm{a}\:\mathrm{person}\:\mathrm{born}\:\mathrm{between}\:\mathrm{1900}−\mathrm{2071}, \\…

Show-that-if-3-prime-numbers-all-greater-than-3-form-an-arithmetic-progression-then-the-common-difference-of-the-progression-is-divisible-by-6-

Question Number 92673 by Ar Brandon last updated on 08/May/20 $$\mathrm{Show}\:\mathrm{that}\:\mathrm{if}\:\mathrm{3}\:\mathrm{prime}\:\mathrm{numbers},\:\mathrm{all}\:\mathrm{greater} \\ $$$$\mathrm{than}\:\mathrm{3},\:\mathrm{form}\:\mathrm{an}\:\mathrm{arithmetic}\:\mathrm{progression}\:\mathrm{then}\:\mathrm{the}\:\mathrm{common} \\ $$$$\mathrm{difference}\:\mathrm{of}\:\mathrm{the}\:\mathrm{progression}\:\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{6}. \\ $$ Commented by Rasheed.Sindhi last updated on 09/May/20 $${In}\:{other}\:{words}:…