## 601.3952191 O’Clock?

My sister sent me the following amusing clock, where each hour is supposed to be represented by a mathematical expression involving only the number 9:

CHALLENGE:

Each expression except one evaluates correctly to the respective hour. Can you find the erroneous hour?

ANSWER:

SPOILER ALERT! I posted the answer to the puzzle in the comment section of this post here.

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December 2, 2012 at 11:30 am

ANSWER:

As expressed, what should be 5 o’clock actually evaluates out to be 601.3952191, because the factorial (!) is under the square-root.

√(9!) – 9/9

= √(362,880) – 1

= 602.3952191 – 1

= 601.3952191.

Rather, the factorial should be outside of the square-root to yield the intended answer 5:

(√9)! – 9/9

= 3! – 1

= 6 – 1

= 5

December 3, 2012 at 7:12 am

Sorry, I can’t do the symbols you experts do but why not the square root of 9 + 9+9/2 ???

December 3, 2012 at 7:18 am

Whoops, I meant:

the sq rt of 9+9+9/9

December 3, 2012 at 7:23 am

Gee, now I see how easy it was for the original clock maker to make a slight bobble.

December 16, 2012 at 6:23 am

Virtuoid, why did you give the answer!!!? I was about to enjoy working it out but the answer was right there and you robbed me !!! 🙂

December 16, 2012 at 10:21 am

Oops! Sorry about that Abs!

You bring up a good point. If it had been an email, I would’ve added a dozen blank lines with the warning “Spoiler Alert Below!”

But you gave me a great idea to “hide” the answer in the comments. I’ll do this now.

Thanks!