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Monday, April 19, 2010

Next is What?

I was creating Puzzles for "Sudoku Mock 21". Some of the puzzles which I create was of the type "Guess the number in the series Sudoku" whose Instructions read as below.
This Sudoku type follow the standard Sudoku rules plus some of the squares will be grayed which can contain numbers from the given series. All but one numbers in the series will be given. Series follows particular pattern. One has to find the missing number by following the series pattern and then solve the Sudoku.

During the testing it was found that it was difficult to find the number in the series. So I decide to drop this puzzle type from the mock test and instead of this all the numbers in the series will be given. So these number series I am posting it here. Do put your comments guessing the number which will come next in the series.
 
Series 1:
6 6 7 ? 8 6 8

Series 2:
3 1 4 1 5 ?

Series 3:
2 1 8 ?

Series 4:
1 3 5 ?
Hint: It is not 7.

Series 5:
3 3 ? 4 4 3 ? ? 4





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7 comments:

  1. Hi Rajesh Series 1 seems to me to be a series about the days of the week. I think the number of letters for the days of the week is given starting from sunday.

    Sunday --- 6
    Monday --- 6
    Tuesday --- 7
    Wednesday --- 9
    Thursday --- 8
    Friday --- 6
    Saturday --- 8

    So the missing number must be 9 for Wednesday.

    Zafer

    ReplyDelete
  2. Hi again,

    Series 2 seems to me to be a series about pi number. It is known that number pi is given as 3,14159265...
    And in this series I think the digits forming number pi is given consecutively as 3 1 4 1 5. So I think the next number will be 9.

    Zafer

    ReplyDelete
  3. Hi,

    I think Series 5 is about digits 1-9. I think the number of letters in the digit names given consecutively as follows:

    1 --- one --- 3
    2 --- two --- 3
    3 --- three --- 5
    4 --- four --- 4
    5 --- five --- 4
    6 --- six --- 3
    7 --- seven --- 5
    8 --- eight --- 5
    9 --- nine --- 4

    So the missing numbers seems to be 5,5,5 in this series.

    Zafer

    ReplyDelete
  4. Hi

    Series 3 is a little bit strange. But I have an idea like that:

    Each following number starts with the last letter of the previous digit and while searching next digit we go from number to 9 and then from 1 to number. If I apply this rule to the given sequence

    2 --- two --- ends with o
    1 --- one --- starts with o, ends with e
    8 --- eight --- starts with e, ends with t
    According to my rule explained above I must put again 2 after 8 since it starts with t. But if the series is decided to be formed by different digits then I must skip 2 and write 3 to the next place since it also starts with t. I have no other idea about this sequence.

    Regards,

    Zafer

    ReplyDelete
  5. If we take the Series 4 it would be very easy if the next number is 7:)) But you told it isn't. So there must be anything else about this series. I again think that it is about the names of digits 1-9. I think the digits whose name ends with an e is given consecutively as follows:

    1 --- on'e'
    3 --- thre'e'
    5 --- fiv'e'
    9 --- nin'e'

    So I think the last digit must be 9 which is missing.

    Regards,

    Zafer

    ReplyDelete
  6. If we take the Series 4 it would be very easy if the next number is 7:)) But you told it isn't. So there must be anything else about this series. I again think that it is about the names of digits 1-9. I think the digits whose name ends with an e is given consecutively as follows:

    1 --- on'e'
    3 --- thre'e'
    5 --- fiv'e'
    9 --- nin'e'

    So I think the last digit must be 9 which is missing.

    Regards,

    Zafer

    ReplyDelete
  7. Thanks Zafer,

    Most of your answers are right and for Series 5 your logic is quite good but I have something else in mind for Series 5. I will wait for some other people put their guess and logic behind it before I put my logic.

    ReplyDelete