Commander 36 Posted January 22 Share Posted January 22 Make 44 using once each 2, 11, 13, 17, 19, 101 with only + - x / ( ) as Operators. Link to post Share on other sites
Sensei 1061 Posted January 22 Share Posted January 22 I have extension to your teaser: Make 0 using once each 2, 11, 13, 17, 19, 101 with only + - x / ( ) as Operators. Spoiler (17-2)*(19-13)+11-101 = 0 Link to post Share on other sites
Commander 36 Posted January 23 Author Share Posted January 23 10 hours ago, Sensei said: I have extension to your teaser: Make 0 using once each 2, 11, 13, 17, 19, 101 with only + - x / ( ) as Operators. Reveal hidden contents (17-2)*(19-13)+11-101 = 0 Very nice. There are many other numbers possible too ! Link to post Share on other sites
Sensei 1061 Posted January 23 Share Posted January 23 The answer for your initial question is: Spoiler (101-13)/(17-(11+19)/2)=44 1 Link to post Share on other sites
Commander 36 Posted January 23 Author Share Posted January 23 Well done ! The other answer as originally planned is : 2(11((13*17)-19))/101=44 Link to post Share on other sites
md65536 382 Posted January 23 Share Posted January 23 I got (101+11+19-17)/2-13=44. 1 Link to post Share on other sites
Commander 36 Posted January 24 Author Share Posted January 24 14 hours ago, md65536 said: I got (101+11+19-17)/2-13=44. Excellent ! Perhaps getting 22 using once each 11, 13, 17, 19, 101 with only + - x / ( ) as Operators might be tougher ! I wanted to have 6 numbers and therefore added 2 ! Link to post Share on other sites
Sensei 1061 Posted January 24 Share Posted January 24 10 hours ago, Commander said: Perhaps getting 22 using once each 11, 13, 17, 19, 101 with only + - x / ( ) as Operators might be tougher ! Not for me.. (((13×17)-19)×11)/101=22 Link to post Share on other sites
md65536 382 Posted January 25 Share Posted January 25 I was curious about how many answers there might be, so I wrote code. I gave up before trying to deal with parentheses, but got the following: (11 - 17) * 13 + 2 + 19 + 101 = 44 (11 - 13) * 19 - 17 - 2 + 101 = 44 (13 + 101) / 2 - 11 - 19 + 17 = 44 (11 - 13 - 17) * 2 - 19 + 101 = 44 (13 - 17 - 19) * 2 - 11 + 101 = 44 (17 - 19 - 2) * 11 - 13 + 101 = 44 (17 - 19) * 11 * 2 - 13 + 101 = 44 (13 - 11 + 19 + 101) / 2 - 17 = 44 (11 - 17 + 19 + 101) / 2 - 13 = 44 (my answer) ((17 - 19 + 101) / 11 + 13) * 2 = 44 ((13 * 17 - 19) / 101 + 2) * 11 = 44 ((19 - 11) * 17 - 13 - 101) * 2 = 44 (13 * 17 - 19) / 101 * 2 * 11 = 44 (Commander's answer, ignoring order) Sensei's answer isn't here because it's not left-to-right order of operations. I wouldn't doubt this is a small fraction of the possible answers, but neither would I bet that it is. (I also manually culled duplicates so I may have removed too many.) Link to post Share on other sites
Commander 36 Posted January 27 Author Share Posted January 27 Let's try this new one : Make 4321 using all these numbers only once 2,3,5,7,11,13,17 with operators + - x / and Brackets. Another one : In this sentence, the number of occurrences Of the digit 0 is__? Of the digit 1 is__? Of the digit 2 is __? Of the digit 3 is __? Of the digit 4 is__? Of the digit 5 is__? Of the digit 6 is __ ? Of the digit 7 is __? Of the digit 8 is__? Of the digit 9 is __? Please fill in the blanks. Make the sentence valid ! Link to post Share on other sites
John Cuthber 3844 Posted January 27 Share Posted January 27 2 hours ago, Commander said: Let's try this new one : Make 4321 using all these numbers only once 2,3,5,7,11,13,17 with operators + - x / and Brackets. Another one : In this sentence, the number of occurrences Of the digit 0 is__? Of the digit 1 is__? Of the digit 2 is __? Of the digit 3 is __? Of the digit 4 is__? Of the digit 5 is__? Of the digit 6 is __ ? Of the digit 7 is __? Of the digit 8 is__? Of the digit 9 is __? Please fill in the blanks. Make the sentence valid ! There are several options. Replace all the blanks with "one". Replace all the blanks with ">=1" Replace all the blanks with "unimportant". Replace all the blanks with "less than 99" Link to post Share on other sites
Commander 36 Posted January 28 Author Share Posted January 28 (edited) On 1/27/2021 at 5:39 PM, John Cuthber said: There are several options. Replace all the blanks with "one". Replace all the blanks with ">=1" Replace all the blanks with "unimportant". Replace all the blanks with "less than 99" Hi, Only positive numbers to be used to fill in the blanks. Also no leading zero too such as 02 etc Edited January 28 by Commander Link to post Share on other sites
Sensei 1061 Posted January 28 Share Posted January 28 (edited) On 1/27/2021 at 11:03 AM, Commander said: In this sentence, the number of occurrences Of the digit 0 is__? Of the digit 1 is__? Of the digit 2 is __? Of the digit 3 is __? Of the digit 4 is__? Of the digit 5 is__? Of the digit 6 is __ ? Of the digit 7 is __? Of the digit 8 is__? Of the digit 9 is __? Please fill in the blanks. Make the sentence valid ! Some irrational numbers e.g. PI have infinite number of digits of each kind in decimal numerical system. Edited January 28 by Sensei Link to post Share on other sites
Commander 36 Posted January 29 Author Share Posted January 29 On 1/24/2021 at 11:52 PM, Sensei said: Not for me.. Reveal hidden contents (((13×17)-19)×11)/101=22 Good ! 13 hours ago, Sensei said: Some irrational numbers e.g. PI have infinite number of digits of each kind in decimal numerical system. No irrational Numbers. Simple Positive Integers. There are 2 Solutions known. You need to find both ! Link to post Share on other sites
John Cuthber 3844 Posted January 29 Share Posted January 29 13 hours ago, Sensei said: Some irrational numbers e.g. PI have infinite number of digits Then they are unlikely to be in that sentence. Link to post Share on other sites
md65536 382 Posted January 29 Share Posted January 29 8 hours ago, Commander said: There are 2 Solutions known. You need to find both ! It's a bit confusing because it's not a valid sentence with all of those question marks, but if they're changed to commas, one solution is Spoiler 1, 11, 2, 1, 1, 1, 1, 1, 1, 1 Is this the easier solution? Oh I see, just by trying some things out: Spoiler 1, 7, 3, 2, 1, 1, 1, 2, 1, 1 1 Link to post Share on other sites
Commander 36 Posted January 30 Author Share Posted January 30 (edited) 12 hours ago, md65536 said: It's a bit confusing because it's not a valid sentence with all of those question marks, but if they're changed to commas, one solution is Reveal hidden contents 1, 11, 2, 1, 1, 1, 1, 1, 1, 1 Is this the easier solution? Oh I see, just by trying some things out: Reveal hidden contents 1, 7, 3, 2, 1, 1, 1, 2, 1, 1 Absolutely Right ! Well done ! Yes, the first solution is easier and the second is harder ! 2 + to you ! If I could give. Yes the Question marks can be removed. Edited January 30 by Commander Link to post Share on other sites
Commander 36 Posted February 1 Author Share Posted February 1 The following is still to be solved : Make 4321 using all these numbers only once 2,3,5,7,11,13,17 with operators + - x / and Brackets. Link to post Share on other sites
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