Question

below question:
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 2013.
Do you know the answer?

Answer 1

Gaurav Agrawal (IAS) answered very intelligently in 2014 using his imagination as 3! + 3! + 3! + 3! + 3! = 30

 This question is asked so many times.. all credit goes to him.  The following ways are my suggestions.

I can answer this question in many ways using the factorial function.

   3! + 1 + 3 + 9 + 11          = 30
       1 + 5 + 7 + 3! + 11               = 30
             3! + 3! + 3! + 11 + 1             = 30
                 3! + 3! + 11 + 5 + 1               = 30
            11+ 1 + 1 + 3! + 11              = 30
       15 + 3 + 3 + 3 + 3!              = 30
     13 + 1 + 1 + 9 + 3!            = 30
         13 + 1 + 3 + 7 + 3!            = 30
               13 + 5 + 3 + 3 + 3!            = 30

Answer 2

  3! + 1 + 3 + 9 + 11          = 30

whare   3! =3*2*1=6


without factorial it is not poosi as sum of odd can never be even