Grand Quiz Question #5

CEans,

We think this is quite tough puzzle; but certainly not for our awesome CEans. The question below carries 15 CE Coins. The puzzle is a sequence of numbers and you've to find the value of X 😀

1, 1, 2, 1, 3, 2, 4, 1, 5, 3, 6, 2, 7, 4, 8, 1, 9, 5, 10, 3,11, 6, 12, 2, 13, 7, 14, 4, 15, 8, 16, 1, 17, 9, 18, 5, 19,10, 20, 3, 21, 11, 22, X, ...
Of course, guessing is easy - but we want you to give us a detailed explanation & logical reasoning for your answer.

As always - the fastest CEan wins.

Replies

  • Varsha0802
    Varsha0802
    6

    Alternating numbers are going in series: 1 2 3....
  • RVignesh
    RVignesh
    Ans is 6
    there are many series embedded in each other
    in first there is a gap of one term between two consecutive terms
    in second there is gap of three terms between two consecutive terms
    in third there is gap of seven terms between two consecutive terms
    in third series last term is 5 and after a gap of seven term x=6
  • Varsha0802
    Varsha0802
    so removing those series numbers we get a sequence in which we have another series in alternative sequence(index number 2, 6, 10 and so on). Following the series, we get the number.
  • CIVILPRINCESS
    CIVILPRINCESS
    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
    1 1 2 1 3 2 4 1 5 3 6 2 7 4 8 1 9 5 10 3 11;

    so on... the alternate numbers form increasing series.. so answer is 6.
  • eternalthinker
    eternalthinker
    x = 6

    Logic:
    The sequence in itself has multiple sequences alternating in between.

    1, seq2, 2, seq3, 3, seq2, 4, seq3, 5,..
    seq2 is again 1,2,3,4,5..
    And seq3 is half the value of the 1st even number happening to it's right side

    So at the end we have ..22, seq3, 23, seq2
    Here the seq2 number is 12
    So x=12/2 = 6
  • CIVILPRINCESS
    CIVILPRINCESS
    removing the first set of alternate terms which ar 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 we get
    1, 1, 2, 1, 3, 2, 4, 1, 5, 3, 6, 2, 7, 4, 8, 1, 9, 5, 10, 3, 11, X, ...
    1, 1, 2, 1, 3, 2, 4, 1, 5, 3, X, ...
    1, 1, 2, 1, 3, X, ... so 6 miust come here
  • ISHAN TOPRE
    ISHAN TOPRE
    Check this out. Of course, this does not mean that I am the winner. ET, RVignesh, Varsha and CP had answered it correctly before me today.
    Congos ET, CP, RVignesh and Varsha. 😀

    #-Link-Snipped-#
  • Anoop Mathew
    Anoop Mathew
    1, 1, 2, 1,
    3, 2, 4, 1,
    5, 3, 6, 2,
    7, 4, 8, 1,
    9, 5, 10, 3,
    11, 6, 12, 2,
    13, 7, 14, 4,
    15, 8, 16, 1,
    17, 9, 18, 5,
    19, 10, 2, 3,
    21, 11, 22, x

    1[SUP]st[/SUP] Sequence: 2n-1 (1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21)
    2[SUP]nd[/SUP] Sequence: n (1, 2, 3,…., 21)
    3[SUP]rd[/SUP] Sequence: 2n (2, 4, 6,……, 22)
    4[SUP]th[/SUP] Sequence: 1, 1, 2, 1, 3, 2, 4, 1, 5, 3, x
    Here again:
    1, 1, 2, 1,
    3, 2, 4, 1,
    5, 3, 6, 2….and the same sequence continues.
    So answer is 6.
  • hridya
    hridya
    Answer 6
    in the given series we can see 2 sequences.. one is 1,2,3,4.....,22
    other is 1,1,2,1,3,2,4,1.......,11 (alternating numbers of the given sequence)
    the 2nd sequence above has again 2 sequences..
    one is 1,2,3,4....., 11
    other is 1,1,2,1,3,2,4,1,5,3,..
    it contains 2 sequences again..(1,2,3,4,5 and 1,1,2,1,3)
    and the missing number is the next number in the sequence 1,2,3,4,5..
    that is, 6
  • bhavna gupta
    bhavna gupta
    the answer is 6
    the alternate series is going on...
    in every series between every consecutive term there is no 1
  • brain
    brain
    its 6...after 4 dgts whn 1 coms it added wd 1(frst tym),next tym 1 is added wd 1(1+1=2),,next 2 is added wd 2(2+2=4),,at last 3 is added wd 3(3+3=6)............thas all the game!
  • Anbarasu-mech
    Anbarasu-mech
    X=6
    consider the series as
    a,b,c,d,e,f,g,...
    4th number is a,
    8th number is b,
    12th number is c,
    16th number is d...
    So,
    40th number is k
    (i.e., k=6).
  • punitbansal
    punitbansal
    Answer is 6
    Bcoz every number is coming after certain period like
    1 is on position 1 then 2,4,8,16
    2 is on 3,6,12.......
    and x is on 44th position so half of 44 is 22 th position where is 6...

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