# 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?

2
by johnnie19
Can we use a number thrice?

2015-01-13T00:36:38+05:30

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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