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Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15)

Solve this..
◻➕◻➕◻➕◻➕◻=30
Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15)
U can also repeat the numbers..This question came in UPSC Final Exams held in dec '13...... You will be glad to note that  only Sarthak Agarwal could solve it.

Find answer below






































Answer
There is que. saying that 'use the number' not saying that 'put the numbers' so if we r using the numbers the ans. Is.....
(5+1)+(7-1)+(13-1)+(3+1)+(3-1)=30

25 comments:

  1. ( 3-5) + (11-1) + (15-5) + (13-3) + (9-7)
    = -2 + 10 +10 + 10 + 2
    = 30
    Using all the numbers
    Zacharia :)

    ReplyDelete
  2. Agr aisa kre to


    3+3+3+3+3=30

    taking factorial in L.H.S.

    SO
    3!+3!+3!+3!+3!

    3×2+ 3×2+ 3×2+ 3×2+ 3×2

    6+6+6+6+6


    =30

    ReplyDelete
  3. =>

    there is two type of solution

    1st one is by proving L.H.S = R.H.S.
    means left hand side = Right hand side

    so

    takingthat one no. Is x
    so

    15+15+15+15+ x =30……equ no. (1)

    60 + x = 30

    x = 30-60
    x= -30

    now put the value of x in equ n. (1)

    so the eqquation will become
    15+15+15+15-30=30

    nnow taking;
    lleft hand side


    => 15+15+15+15-30
    => 60-30
    => 30

    and now right hannd side is
    also 30

    so its proved that

    left hand side=right hand side

    so the final ans is 30....

    ReplyDelete
    Replies
    1. Y u used x hea ??
      Dey clearly maintioned above dat u hav to use d givn numbers onli

      Delete
  4. 2nd soluution is

    that

    in ur question
    there is only one conditon that is
    we can repeat the nummbers so


    lets see
    howw is it possible

    (5-3)+(9-5)+(9-1)+(7-1)+(11-1)
    so

    (2)+(4)+(8)+(6)+(10)

    =30 Ans………

    ReplyDelete
  5. 3 weeks + 7 days + 11 hours + 13 hours + 1 day = 30 days.

    Problem?

    ReplyDelete
  6. (11-1) + (13-3) + (15-5) = 30
    ou
    (1+9) + (3+7) + (5+5) = 30

    ReplyDelete
  7. Speaking from a continental Europe (Czech Republic) point of view: We use decimal comma instead of point, therefore, cutting the sequence of the numbers slightly differently could help, for example: 1,3+5,7+9+11+3
    Neat, huh? Even math can be language-bound :)

    ReplyDelete
  8. Your are not allowed to use +/- */:. Only 1,3,..15

    ReplyDelete
    Replies
    1. Well, the + signs are there, aren't they?

      Delete
  9. How about rotating the 9 to be 6, it will be as easy as 6 + 1 +3 +9 +11 =30

    They asked to use the numbers but never said to use them in the exact orientation

    ReplyDelete
  10. This comment has been removed by the author.

    ReplyDelete
  11. This comment has been removed by the author.

    ReplyDelete
  12. My guess would have been
    [9.3] + [15.7] + [5] = 30

    ReplyDelete
  13. It's a logical question not a mathematical one

    ReplyDelete
  14. just add 3 before any box... they have not asked to fill box....

    30+0+0+0+0=30

    ReplyDelete
  15. 3 weeks + 7 days + 11 hours + 13 hours + 1 day = 30 days...
    This must b the right answer. Simple logic..but great thinkers only can find...

    ReplyDelete
  16. 15+11+1+1+1=30 in base9 number system,

    11+11+1+1+1=30 in base5 number system, etc.

    ReplyDelete
  17. 13,7+15,3+1=30

    ReplyDelete
  18. says use what is in Parentheses

    15 + 15 + , = 30

    ReplyDelete
  19. 15 + 15 + , + , + , = 30

    ReplyDelete
  20. 15+13+log(base 3) 9 =30

    ReplyDelete

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