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# An Interesting Puzzle

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Veritas Prep GMAT Instructor
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An Interesting Puzzle [#permalink]  08 Jan 2012, 21:45
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Expert's post
Yesterday's newspaper had this puzzle and knowing I like Math, my hubby challenged me to solve it. I must confess, I was a little stumped when it heard it first but I knew there had to be a logical solution so I started thinking and then of course - very simple yet smart!

Now, without wasting more of your time, let me give you the puzzle:

Using only five 0s (no other digits, just 0, 0, 0, 0 and 0) and any mathematical operators, make 120.

Please put your solution under the spoiler tag so that people don't stumble on it before they get a chance to think on their own.

If you need a hint, let me know!
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Karishma
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews CEO Joined: 17 Nov 2007 Posts: 3574 Concentration: Entrepreneurship, Other Schools: Chicago (Booth) - Class of 2011 GMAT 1: 750 Q50 V40 Followers: 424 Kudos [?]: 2296 [2] , given: 359 Re: An Interesting Puzzle [#permalink] 09 Jan 2012, 05:56 2 This post received KUDOS Expert's post That's my take: [Reveal] Spoiler: (0!+0!+0!+0!+0!)! or [Reveal] Spoiler: (x^0+x^0+x^0+x^0+x^0)! where x is a non-zero number. Very interesting! Thanks for posting! _________________ HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame Chat Moderator Joined: 31 Oct 2011 Posts: 521 Schools: Johnson '16 (M) GMAT 1: 690 Q45 V40 WE: Asset Management (Mutual Funds and Brokerage) Followers: 36 Kudos [?]: 206 [1] , given: 57 Re: An Interesting Puzzle [#permalink] 09 Jan 2012, 05:59 1 This post received KUDOS [Reveal] Spoiler: 0! = 1.. (0!+0!+0!+0!+0!)! = 5! = 120 Good question Kudos to walker for beating me to it _________________ My Applicant Blog: http://hamm0.wordpress.com/ Senior Manager Joined: 13 May 2011 Posts: 319 WE 1: IT 1 Yr WE 2: Supply Chain 5 Yrs Followers: 19 Kudos [?]: 163 [1] , given: 11 Re: An Interesting Puzzle [#permalink] 09 Jan 2012, 10:17 1 This post received KUDOS [Reveal] Spoiler: (0!+0!+0!+0!+!0)! Intern Joined: 31 Jul 2011 Posts: 13 Followers: 0 Kudos [?]: 3 [1] , given: 7 Re: An Interesting Puzzle [#permalink] 09 Jan 2012, 18:59 1 This post received KUDOS [Reveal] Spoiler: (0! + 0! + 0! + 0! + 0!)! Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 5746 Location: Pune, India Followers: 1446 Kudos [?]: 7606 [0], given: 186 Re: An Interesting Puzzle [#permalink] 09 Jan 2012, 20:06 Expert's post It is great to see that many people were able to arrive at the answer. Great job! Let's still stick to spoiler tags in case some other people want to try it. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: An Interesting Puzzle [#permalink]  10 Jan 2012, 05:55
nice question. since it's already been answered a handful of times, no need to repeat it here.
Senior Manager
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Re: An Interesting Puzzle [#permalink]  10 Jan 2012, 21:56
(0!+0!+0!+0!+0!)! =120
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Re: An Interesting Puzzle [#permalink]  12 Jan 2012, 01:50
nice q...used the same technique as others
Veritas Prep GMAT Instructor
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Posts: 5746
Location: Pune, India
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Re: An Interesting Puzzle [#permalink]  13 Jan 2012, 04:09
Expert's post
Even though such a question will never appear on GMAT, there is a great learning here - when you think something is impossible, you just have to cool off , relax your mind and start thinking afresh.
The moment I heard 'using only 0s', my first instinct was 'what!? You can add/subtract/multiply/divide whatever, you will never get any other number'. So then I thought that since there has to be a solution, I am missing something so I should back up and review what I know. Then, all I wanted to do was to figure out an operator which I could use with 0 to give me another number. That's when 0! came to mind and as you can see, after that all you need is 5 secs to fit it in 120. I do hope your takeaway from this question is this:

When you read a Problem Solving question and think that it cannot be solved, all you need to do is keep your cool and think about the first thing you need to figure out. Other steps will follow automatically. You know that it can be done so you can do it too.

(Disclaimer: I do not advice you to waste too much time on any one question during the actual exam. In the actual exam, sometimes, you might need to say, "I know we can solve it but I don't think I can in the given time frame so I should instead move on to the next question." You can take your time during practice at home.)
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Re: An Interesting Puzzle   [#permalink] 13 Jan 2012, 04:09
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