# UPSC number Puzzle – ? + ? + ? + ? + ? = 30

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? + ? + ? + ? + ? = 30

You have to fill numbers in place of question marks.
The numbers that you can use are 1, 3, 5, 7, 9, 11, 13 and 15.
You can repeat the numbers if you like.

Can you solve it?

The question that follows came in the UPSC final exam that was held in December 2013.
Only one examinee(Gaurav Agarwal) was able to solve it.

Detective Expert Asked on 2nd September 2015 in

(15-9)+(13-7)+(7-1)+(9-1)+(13-9)=30

When we calculate it, we get
6 + 6 + 6 + 8 + 4 = 30

SherlockHolmes Expert Answered on 2nd September 2015.

30 = 11+9+3+1+3!

3!=3*2*1=6

Vinayak Scholar Answered on 11th November 2015.

It seems that something’s missing from the puzzle… Because there are a number of straight-forward answers to  the question in its present form:

1 + 3 + 11 + 15 = 30
1+ 5 + 9 + 15  = 30
3 + 5 + 7 + 15 = 30
1 + 7 + 9 + 13 = 30 etc. being a few, without repeating the numbers.  (With ‘repeat’ option, answers are plenty.)

Viji_Pinarayi Expert Answered on 30th November 2015.

You are asked to express as a sum of 5 numbers!

on 18th May 2016.

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