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  4. How do I generate a number divisable by 5, and check it?

How do I generate a number divisable by 5, and check it?

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  • S stephen darling

    Hi. First, how would I create a random number, and then add the last digit, so that it is divisable by 5? the number should always be 5 digits long. Second, how do I check it, I think I need to do something like...

    if (int x MOD 5 ==0)

    Or something like that. The first step is the most important though. Thank you, Steve

    D Offline
    D Offline
    David1987
    wrote on last edited by
    #4

    Generate a random integer in [2000, 19999] and multiply it by 5. The result will always be in [10000, 99999] (ie 5 decimal digits) and be divisible by 5 (by construction)

    int yourNumber = 5 * rand.Next(2000, 20000); // remember the max-bound is exclusive
    if (yourNumber % 5 != 0)
    Console.WriteLine("the universe is wrong");

    And make sure you reuse a single instance of Random, if you create new ones the result won't be random. [/spoon feeding]

    S 1 Reply Last reply
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    • R riced

      Generate a four digit random number, multiply it by 10, add 5 (or 10). The result will be divisible by 5.

      Regards David R --------------------------------------------------------------- "Every program eventually becomes rococo, and then rubble." - Alan Perlis The only valid measurement of code quality: WTFs/minute.

      S Offline
      S Offline
      stephen darling
      wrote on last edited by
      #5

      Does this mean that no matter what number I generate, it will always have to end in 5? e.g. All these numbers are divisable by 5

      39485
      99045
      12095
      49385
      99335

      However, I was under the impression I could generate numbers that would be divisable by 5, but not end in 5? Is this wrong? Regards, Stephen

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      • L Luc Pattyn

        a random multiple of five is bound to be five times some other random number. :omg:

        Luc Pattyn [My Articles] Nil Volentibus Arduum

        S Offline
        S Offline
        stephen darling
        wrote on last edited by
        #6

        Luc Pattyn wrote:

        a random multiple of five is bound to be five times some other random number. :OMG:

        ? What do you mean? Regards, Stephen

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        • S stephen darling

          Does this mean that no matter what number I generate, it will always have to end in 5? e.g. All these numbers are divisable by 5

          39485
          99045
          12095
          49385
          99335

          However, I was under the impression I could generate numbers that would be divisable by 5, but not end in 5? Is this wrong? Regards, Stephen

          D Offline
          D Offline
          David1987
          wrote on last edited by
          #7

          Numbers that end in 0 are also divisible by 5 (except zero) So you're right.

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          • S stephen darling

            Does this mean that no matter what number I generate, it will always have to end in 5? e.g. All these numbers are divisable by 5

            39485
            99045
            12095
            49385
            99335

            However, I was under the impression I could generate numbers that would be divisable by 5, but not end in 5? Is this wrong? Regards, Stephen

            R Offline
            R Offline
            riced
            wrote on last edited by
            #8

            Look at what I said - add 5 or 10. If a number is divisible by 5 it must end in 5 or 0 - that's primary school arithmetic. If you don't believe me write out the 5 times table for the numbers 1 to 20.

            Regards David R --------------------------------------------------------------- "Every program eventually becomes rococo, and then rubble." - Alan Perlis The only valid measurement of code quality: WTFs/minute.

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            • D David1987

              Numbers that end in 0 are also divisible by 5 (except zero) So you're right.

              L Offline
              L Offline
              Luc Pattyn
              wrote on last edited by
              #9

              David1987 wrote:

              except zero

              :confused::confused::confused:

              Luc Pattyn [My Articles] Nil Volentibus Arduum

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              • S stephen darling

                Luc Pattyn wrote:

                a random multiple of five is bound to be five times some other random number. :OMG:

                ? What do you mean? Regards, Stephen

                M Offline
                M Offline
                Manfred Rudolf Bihy
                wrote on last edited by
                #10

                What Luc meant was that you should just create a random integer number and the go and multiply it by five. This will always give you a number which is divisible by 5, to state the obvious. The only thing I would add is if you are given a range in which the numbers should lie you'd need some adjustment.

                Random rnd = new Random();

                int lowerBound = 2001; // not divisable 5 five
                lowerBound = lowerBound + ( 5 - lowerBound % 5 ); // make lowerBound divisable by five

                int upperBound = 10023; // not divisable by five
                upperBound = upperBound - ( upperBound % 5 ); // make upperBound divisable by five

                int range = (upperBound - lowerBound) / 5; // calculate the range of numbers

                int number = lowerBound + rnd.Next( range ) * 5; // presto

                Cheers!

                —MRB

                "With sufficient thrust, pigs fly just fine."

                Ross Callon, The Twelve Networking Truths, RFC1925

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                • L Luc Pattyn

                  a random multiple of five is bound to be five times some other random number. :omg:

                  Luc Pattyn [My Articles] Nil Volentibus Arduum

                  M Offline
                  M Offline
                  Manfred Rudolf Bihy
                  wrote on last edited by
                  #11

                  Stating the obvious! 5+ :-D :thumbsup:

                  "With sufficient thrust, pigs fly just fine."

                  Ross Callon, The Twelve Networking Truths, RFC1925

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                  • R riced

                    Look at what I said - add 5 or 10. If a number is divisible by 5 it must end in 5 or 0 - that's primary school arithmetic. If you don't believe me write out the 5 times table for the numbers 1 to 20.

                    Regards David R --------------------------------------------------------------- "Every program eventually becomes rococo, and then rubble." - Alan Perlis The only valid measurement of code quality: WTFs/minute.

                    S Offline
                    S Offline
                    stephen darling
                    wrote on last edited by
                    #12

                    riced wrote:

                    If a number is divisible by 5 it must end in 5 or 0

                    Yes; I was getting confused with the coding issue not the actual math.

                    riced wrote:

                    that's primary school arithmetic.

                    I know, I am a Biomedical Scientist.

                    riced wrote:

                    If you don't believe me write out the 5 times table for the numbers 1 to 20.

                    I do believe you. Like I said, it was the coding side of things. However, it is my fault the way I explained myself, it did indeed look as though I didn’t understand the math itself, and I certainly was not questioning you answer. Sorry if it came across that way, and thank you. Kind Regards, Stephen

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                    • L Luc Pattyn

                      David1987 wrote:

                      except zero

                      :confused::confused::confused:

                      Luc Pattyn [My Articles] Nil Volentibus Arduum

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                      David1987
                      wrote on last edited by
                      #13

                      It depends on the definition of divisibility that you use. Zero can also be divisible by anything, if you use an other definition.

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                      • R riced

                        Generate a four digit random number, multiply it by 10, add 5 (or 10). The result will be divisible by 5.

                        Regards David R --------------------------------------------------------------- "Every program eventually becomes rococo, and then rubble." - Alan Perlis The only valid measurement of code quality: WTFs/minute.

                        S Offline
                        S Offline
                        Simon Bang Terkildsen
                        wrote on last edited by
                        #14

                        you shouldn't add 5 or 10 but 5 or 0. In the case the random generator provides 9999 then you would get 9999 * 10 + 10 = 99990 + 10 = 100000 six digits

                        1 Reply Last reply
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                        • D David1987

                          It depends on the definition of divisibility that you use. Zero can also be divisible by anything, if you use an other definition.

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                          L Offline
                          Luc Pattyn
                          wrote on last edited by
                          #15

                          BS.

                          zero times x equals zero, no matter what (finite) value x has.

                          so (the right side's) zero is divisible by x, and the result is (the left side's) zero. If I hold 10 pies, 5 bacon sandwiches, and zero glasses of milk, I have no problem distributing them evenly to 5 people. Next you'll state you could also redefine 5, so it no longer divides itself. :)

                          Luc Pattyn [My Articles] Nil Volentibus Arduum

                          OriginalGriffO D 2 Replies Last reply
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                          • L Luc Pattyn

                            BS.

                            zero times x equals zero, no matter what (finite) value x has.

                            so (the right side's) zero is divisible by x, and the result is (the left side's) zero. If I hold 10 pies, 5 bacon sandwiches, and zero glasses of milk, I have no problem distributing them evenly to 5 people. Next you'll state you could also redefine 5, so it no longer divides itself. :)

                            Luc Pattyn [My Articles] Nil Volentibus Arduum

                            OriginalGriffO Offline
                            OriginalGriffO Offline
                            OriginalGriff
                            wrote on last edited by
                            #16

                            Luc Pattyn wrote:

                            Next you'll state you could also redefine 5, so it no longer divides itself.

                            It doesn't. There are only four bacon sandwiches left... :laugh:

                            Real men don't use instructions. They are only the manufacturers opinion on how to put the thing together. Manfred R. Bihy: "Looks as if OP is learning resistant."

                            "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
                            "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

                            L 1 Reply Last reply
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                            • L Luc Pattyn

                              BS.

                              zero times x equals zero, no matter what (finite) value x has.

                              so (the right side's) zero is divisible by x, and the result is (the left side's) zero. If I hold 10 pies, 5 bacon sandwiches, and zero glasses of milk, I have no problem distributing them evenly to 5 people. Next you'll state you could also redefine 5, so it no longer divides itself. :)

                              Luc Pattyn [My Articles] Nil Volentibus Arduum

                              D Offline
                              D Offline
                              David1987
                              wrote on last edited by
                              #17

                              Nope. You seem to think that that is the only definition of divisibility. I did not personally redefine anything. There is no natural number n such that 0/x=n so no x evenly divides 0. If you use the definition with integers instead of natural numbers, everything divides zero. Also, the prime factorization of zero is empty.

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                              • S stephen darling

                                Hi. First, how would I create a random number, and then add the last digit, so that it is divisable by 5? the number should always be 5 digits long. Second, how do I check it, I think I need to do something like...

                                if (int x MOD 5 ==0)

                                Or something like that. The first step is the most important though. Thank you, Steve

                                L Offline
                                L Offline
                                Lost User
                                wrote on last edited by
                                #18

                                Didn't you already post this in the Q&A and get an answer to it?? Generating numbers to the multiple of 5?[^]

                                Computers have been intelligent for a long time now. It just so happens that the program writers are about as effective as a room full of monkeys trying to crank out a copy of Hamlet.

                                1 Reply Last reply
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                                • D David1987

                                  Nope. You seem to think that that is the only definition of divisibility. I did not personally redefine anything. There is no natural number n such that 0/x=n so no x evenly divides 0. If you use the definition with integers instead of natural numbers, everything divides zero. Also, the prime factorization of zero is empty.

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                                  Luc Pattyn
                                  wrote on last edited by
                                  #19

                                  natural numbers are the ordinary counting numbers 1, 2, 3, ... (sometimes zero is also included) is what Wikipedia[^] offers as a definition. Now you can choose: either you include zero and you are allowed to use it at both sides of your 0/x=n, or you exclude it (and then your "except zero" remark that started all this is completely irrelevant). :doh:

                                  Luc Pattyn [My Articles] Nil Volentibus Arduum

                                  D 1 Reply Last reply
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                                  • OriginalGriffO OriginalGriff

                                    Luc Pattyn wrote:

                                    Next you'll state you could also redefine 5, so it no longer divides itself.

                                    It doesn't. There are only four bacon sandwiches left... :laugh:

                                    Real men don't use instructions. They are only the manufacturers opinion on how to put the thing together. Manfred R. Bihy: "Looks as if OP is learning resistant."

                                    L Offline
                                    L Offline
                                    Luc Pattyn
                                    wrote on last edited by
                                    #20

                                    Sorry for the late reply, I have been off-line this evening, I have another tournament going on this week. I trust all bacon sandwiches have magically disappeared by now, and so the problem got solved? :)

                                    Luc Pattyn [My Articles] Nil Volentibus Arduum

                                    1 Reply Last reply
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                                    • S stephen darling

                                      riced wrote:

                                      If a number is divisible by 5 it must end in 5 or 0

                                      Yes; I was getting confused with the coding issue not the actual math.

                                      riced wrote:

                                      that's primary school arithmetic.

                                      I know, I am a Biomedical Scientist.

                                      riced wrote:

                                      If you don't believe me write out the 5 times table for the numbers 1 to 20.

                                      I do believe you. Like I said, it was the coding side of things. However, it is my fault the way I explained myself, it did indeed look as though I didn’t understand the math itself, and I certainly was not questioning you answer. Sorry if it came across that way, and thank you. Kind Regards, Stephen

                                      M Offline
                                      M Offline
                                      Mycroft Holmes
                                      wrote on last edited by
                                      #21

                                      Your confusion did lead me to think - how old is this guy, doesn't understand primary grade maths :-D

                                      Never underestimate the power of human stupidity RAH

                                      1 Reply Last reply
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                                      • L Luc Pattyn

                                        natural numbers are the ordinary counting numbers 1, 2, 3, ... (sometimes zero is also included) is what Wikipedia[^] offers as a definition. Now you can choose: either you include zero and you are allowed to use it at both sides of your 0/x=n, or you exclude it (and then your "except zero" remark that started all this is completely irrelevant). :doh:

                                        Luc Pattyn [My Articles] Nil Volentibus Arduum

                                        D Offline
                                        D Offline
                                        David1987
                                        wrote on last edited by
                                        #22

                                        Yes but that's precisely the point, you can choose.

                                        1 Reply Last reply
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                                        • D David1987

                                          Generate a random integer in [2000, 19999] and multiply it by 5. The result will always be in [10000, 99999] (ie 5 decimal digits) and be divisible by 5 (by construction)

                                          int yourNumber = 5 * rand.Next(2000, 20000); // remember the max-bound is exclusive
                                          if (yourNumber % 5 != 0)
                                          Console.WriteLine("the universe is wrong");

                                          And make sure you reuse a single instance of Random, if you create new ones the result won't be random. [/spoon feeding]

                                          S Offline
                                          S Offline
                                          stephen darling
                                          wrote on last edited by
                                          #23

                                          David1987 wrote:

                                          And make sure you reuse a single instance of Random,

                                          How exactly do I ensure that I am doing this? I am using rand a number of times, and although I get different values, it does appear that they are very simular. Regards, Stephen

                                          1 Reply Last reply
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