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Category: Logic

2-289-1-2-17-1-2-a-1-2-a-2-2-a-3-2-a-k-Find-the-value-of-k-

Question Number 134689 by benjo_mathlover last updated on 06/Mar/21 $$\:\frac{\mathrm{2}^{\mathrm{289}} +\mathrm{1}}{\mathrm{2}^{\mathrm{17}} +\mathrm{1}}\:=\:\mathrm{2}^{{a}_{\mathrm{1}} } \:+\:\mathrm{2}^{{a}_{\mathrm{2}} } \:+\:\mathrm{2}^{{a}_{\mathrm{3}} } \:+\:…\:+\:\mathrm{2}^{{a}_{{k}} } \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{k}. \\ $$ Answered by…

Here-are-three-propositions-This-sentence-has-exactly-six-words-There-are-two-wrong-propositions-The-two-previous-sentences-are-correct-Among-that-propositions-how-many-are-wrong-list-them-

Question Number 69116 by ~ À ® @ 237 ~ last updated on 20/Sep/19 $$\:{Here}\:\:{are}\:{three}\:{propositions}:\: \\ $$$$−\:{This}\:{sentence}\:{has}\:{exactly}\:{six}\:{words} \\ $$$$−{There}\:{are}\:{two}\:{wrong}\:{propositions} \\ $$$$−{The}\:{two}\:{previous}\:{sentences}\:{are}\:{correct} \\ $$$$ \\ $$$${Among}\:{that}\:{propositions}\:,{how}\:{many}\:{are}\:{wrong}?\:{list}\:{them}!…

1-Let-consider-S-n-0-n-and-T-n-0-1-n-1-n-We-know-that-x-1-1-n-0-x-n-1-1-x-then-after-derivating-1-1-x-2-n-1-1-n-1-nx-n-1-f

Question Number 67651 by ~ À ® @ 237 ~ last updated on 29/Aug/19 $$\left.\mathrm{1}\right){Let}\:{consider}\:\:{S}=\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\:{n}\:\:\:\:\:{and}\:\:{T}=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\:\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} {n} \\ $$$$\left.{W}\left.{e}\:{know}\:{that}\:\:\forall\:{x}\in\right]−\mathrm{1};\mathrm{1}\right] \\ $$$$\underset{{n}=\mathrm{0}} {\overset{\infty}…

Let-A-B-and-C-are-three-statments-A-B-C-A-C-B-A-B-C-A-B-A-Prove-or-disprove-

Question Number 1656 by Rasheed Soomro last updated on 29/Aug/15 $$\mathrm{Let}\:\mathrm{A},\mathrm{B}\:\mathrm{and}\:\mathrm{C}\:\mathrm{are}\:\mathrm{three}\:\mathrm{statments}.\: \\ $$$$\left(\mathrm{A}\Rightarrow\mathrm{B}\Rightarrow\mathrm{C}\Rightarrow\mathrm{A}\right)\:\overset{?} {\Rightarrow}\left(\mathrm{C}\Rightarrow\mathrm{B}\right)\: \\ $$$$\left(\mathrm{A}\Rightarrow\mathrm{B}\Rightarrow\mathrm{C}\Rightarrow\mathrm{A}\right)\:\overset{?} {\Rightarrow}\left(\mathrm{B}\Rightarrow\mathrm{A}\right)\: \\ $$$$\mathrm{Prove}\:\mathrm{or}\:\mathrm{disprove}. \\ $$ Commented by Yozzian last…

8-4-3-7-7-3-

Question Number 961 by Madan pd gupta last updated on 08/May/15 $$\left[\left\{\mathrm{8}+\mathrm{4}×\mathrm{3}+\left(\mathrm{7}\boldsymbol{\div}\mathrm{7}×\mathrm{3}\right)\right\}\right]_{} \\ $$ Answered by rpatle69@gmail.com last updated on 08/May/15 $$\mathrm{23} \\ $$ Terms…

X-is-a-person-that-can-only-one-of-these-a-only-tell-truth-b-only-tell-lie-using-a-minimal-number-of-question-how-to-discover-what-type-of-people-are-X-

Question Number 902 by 123456 last updated on 18/Apr/15 $$\mathrm{X}\:\mathrm{is}\:\mathrm{a}\:\mathrm{person}\:\mathrm{that}\:\mathrm{can}\:\mathrm{only}\:\mathrm{one}\:\mathrm{of}\:\mathrm{these} \\ $$$$\mathrm{a}.\mathrm{only}\:\mathrm{tell}\:\mathrm{truth} \\ $$$$\mathrm{b}.\mathrm{only}\:\mathrm{tell}\:\mathrm{lie} \\ $$$$\mathrm{using}\:\mathrm{a}\:\mathrm{minimal}\:\mathrm{number}\:\mathrm{of}\:\mathrm{question} \\ $$$$\mathrm{how}\:\mathrm{to}\:\mathrm{discover}\:\mathrm{what}\:\mathrm{type}\:\mathrm{of}\:\mathrm{people} \\ $$$$\mathrm{are}\:\mathrm{X}? \\ $$ Answered by prakash…