# 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.

2
by DhruvVerma776

2014-11-30T15:51:30+05:30
3!+3!+3!+3!+3!=30

Note that 3!=3*2*1=6
2014-11-30T15:53:29+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Actually this is not a regular type of arithmetic question in a homework assignment.  It is a question to think out of the box.

Gaurav Agrawal answered very intelligently and using his imagination.         -- really for this question is asked so many times.. all credit goes to him.

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

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
13 + 1 + 3 + 7 + 3!            = 30
13 + 5 + 3 + 3 + 3!            = 30

If  one can use /, * , exponent and other operators, then you can get more answers too.  Question does not say anything about the operators.

5 * 3 + 13 + 1 + 1 = 30
13 + 15 + 3! - 3 - 1 =    30
15! / 13! / 7 * 1 * 1  =  30
5!  / 3!  + 1 * 3 + 7 = 30
7 * 5  - 3 - 1 - 1  =  30
9 * 7 / 3 + 9 * 1 =  30
3³ + 1 + 11 - 13 * 1  = 30
5³ / 15 * 3 + 5 * 1 = 30
3 * 15 - 11 - 3 - 1 = 30

======================================================
You need one operator for which the result is an even number with an input being an odd number.  Factorial is one.  Probably there are other operators too.