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 '13...... You will be glad to note that only Gaurav Agarwal could solve it.

Answer 1

The sum of three odd numbers gives an odd number
So, the sum of 3 given odd numbers doesn’t results 30
So, it is an impossible factor
here we can't use 3! too
because 3! [3×2×1] results a even number 6
so we can’t use it.
If there will be an allowance of factorials, then the answers will be
3! + 15 + 9 =30
3! + 11 + 13 = 30

Answer 2

1 + 3! + 5+ 7 + 11 = thirty

Step-by-step explanation:

3! + 3! + 3! + 3! + 3!      = 30 

  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

        133! + 3! + 3! + 3! + 3!      = 30 

  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 + 1 + 3 + 7 + 3!            = 30

              13 + 5 + 3 + 3 + 3!            = 30