Pyramid Number Puzzle

Pyramid Number Puzzle - 2 August

The below is a number puzzle. It should be read left to right, top to bottom.
1
1 1
2 1
1 2 1 1
1 1 1 2 2 1
? ? ? ? ? ?
? ? ? ? ? ? ? ?

Question 1: What is the next two rows of numbers?
Question 2: How was this reached?

For Solution : Click Here

35 comments:

  1. 3 1 2 2 1 1
    1 3 1 1 2 2 2 1

    one
    one one
    two one
    one two one one
    say whats in the previous line.. am I right :)

    ReplyDelete
  2. 3 1 2 2 1 1
    1 3 1 1 2 2 2 1
    Above, in the first row there is 'one' 3, 'one' 1, 'two' 2's and 'two' 1's. That's what is written in the next row, in digits. This rule applies for all the rows from top to bottom.

    ReplyDelete
    Replies
    1. nice!! i like your explantion you are the only one whos explantion was understandable!! thanks!!!

      Delete
    2. The problem never said what numbers we could/couldn't use. So, there is more than one way to solve this problem.
      6, 4, 2, 1, 0, 0
      9, 4, 4, 1, 1, 1, 1, 0.

      If you look at the sum of the numbers from left to right, then up and down.
      !!Puzzle!!

      1|=1
      1|1=2
      2|1=3
      1|2|1|1=5
      1|1|1|2|2|1=8
      ?|?|?|?|?|?=?
      ?|?|?|?|?|?|?|?=?

      !!Sums!!

      0+1=1
      1+2=3
      2+3=5
      3+5=8
      5+8=13
      8+13=21.
      the sum of the numbers and down, equals the sum of the numbers left to right.
      Our answer (in puzzle)

      1|=1
      1|1=2
      2|1=3
      1|2|1|1=5
      1|1|1|2|2|1=8
      6|4|2|1|0|0=13
      9|4|4|1|1|1|1|0=21

      Delete
    3. your explanation was quite understandable than what the author says

      Delete
    4. Well, while the sums thing makes sense, the problem itself is about a pattern that you read out in your head without realizing it. For example if you see the numeral 1 your brain tells you that you see one numeral 1.

      The pattern left off with 3 ones 2 twos and 1 one. Thus: 3 1 2 2 1 1. Which does not equal 13, but 10. The reason this pattern riddle leaves off the way it does is so it can mislead you to believe it is all about sums.

      Delete
  3. 3 1 2 2 1 1
    1 3 1 1 2 2 2 1

    Reason:
    1-->1 1
    gives u the number of 1s in the previous number attached before the number
    1 1-->2 1
    has 2 1's
    2 1-->1 2 1 1
    has frequency of 2 as 1 and frequency of 1 as 1(frequency is attached before the number)
    1 2 1 1-->1 1 1 2 2 1 --->3 1 2 2 1 1--->1 3 1 1 2 2 2 1

    ReplyDelete
    Replies
    1. nice explanation anshul. Even the Main question explanation is so weird.

      Delete
  4. Nice Number Puzzle

    ReplyDelete
  5. 3 1 2 2 1 1
    1 3 1 1 2 2 2 1

    nice puzzle.

    ReplyDelete
  6. 3 1 2 2 1 1
    1 3 1 1 2 2 2 1

    next line would be 1 1 1 3 2 1 3 2 1 1

    ReplyDelete
  7. 1
    1 1
    2 1
    1 2 1 1
    1 1 1 2 2 1

    2 1 2 1 1 1 1 2 1 1
    1 2 1 1 1 2 1 1 1 1 1 1 1 2 2 1

    the bottom digit shows the number of digits in the same column for the above two rows..e.g
    the last row first column first digit shows that there are one number of 2's in the first column for the last two rows do not including the last row...

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  8. the answer for line 5 is incorrest

    ReplyDelete
  9. 312211
    13112221
    it says the previous line with magical confusing numbers. O.o YES

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  10. 312211 and 13112221 It's counting the digits......... first number is 1..... only one 1 is there..... Next will be 11...... In 11, two "1"s are coming continuously, so next will be 21...... In 21, one '2' and one '1' is there..... Next will be 1211...... Here one "1" is there, one '2' is there..... and two "1"s are coming continuously...... Next will be 111221..... and so on............

    ReplyDelete
  11. 1
    1 1
    2 1
    1 2 1 1
    1 1 1 2 2 1
    1 2 2 3 4 5 1
    1 3 4 5 7 9 6 1

    Add numbers each number pairs above up

    ReplyDelete
  12. 136
    70 66
    xx xx xx
    xx xx xx xx
    11 xx 5 3 xx

    ?

    ReplyDelete
  13. once you get to the sequence:

    3322311514

    it will be the same sequence over and over after that

    ReplyDelete
  14. 3 1 2 2 1 1
    1 3 1 1 2 2 2 1

    ReplyDelete
  15. 2 1 2 1 1
    1 2 1 1 2 2 1

    ReplyDelete
  16. very old one, taught in every math class (1st term university)

    the following row always tells how many numbers of each type you see in the row before.

    If I, e.g., had a row of 5 4 4 4 11 3 2 2 2 2, the next row would be:

    one 5, three 4s, one 11, one 3, four 2s

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  17. This is the game that my Parents and Cousins would play, when they are drinking (Sometimes), when someone makes a mistake, they all laugh when its not funny!

    ReplyDelete
  18. 1
    11
    21
    1211
    111221
    312211
    13112221
    1113213211
    31131211131221
    13211311123113112212
    1113122113311213211321221212

    ReplyDelete
  19. 1
    1 1
    2 1
    1 2 1
    1 1 1 2 1
    2 1 2 1 2
    1 2 1 2 1

    ReplyDelete
  20. 1
    11
    21
    1211
    111221
    312211
    13112221

    ReplyDelete
  21. This post has been extremely insightful. thanks for sharing this very educative article.

    pebbles
    www.joeydavila.net

    ReplyDelete