Odd One Out I

Logic Level 1

By considering the sum of the digits, find the odd one out.

76 76 49 49 94 94 85 85 27 27

Ethan Mandelez by Ethan Mandelez , 15, Malaysia

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3 solutions

Aditya Mittal
Apr 13, 2021

27 is the only perfect cube out of all the numbers. That's how I got it.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice, that's another solution to this problem!

I find that these type of problems may have different solutions, so if there are more spots such that the resulting number isn't 27 27 , I will have to change (or archive) this problem.

Anyways, thank you for your approach 😎

Ethan Mandelez - 2 months ago

76 is also a reasonable solution because it is the only number that has more than two unique factor pairs. 94 (1,2,47,94) 27 (1,3,9,27) 58(1,2,29,58) 85(1,5,17,85) 76 (1,2,4,19,38,76)

Dan Brabec - 2 months ago

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I agree. Thanks for your approach.

Ethan Mandelez - 1 month, 4 weeks ago
Lucas Tu
Apr 24, 2021

9+4=13

8+5=13

7+6=13

5+8=13

2+7=9

27 is the odd one out.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ethan Mandelez
Apr 12, 2021

Consider the sum of the digits on each tile.

Every tile sums up to 13 13 except for the orange tile, 27 27 .

Note: I find that these type of problems may potentially result in different solutions (depending on one's approach). If someone has an obvious approach such that the resulting number isn't 27 27 , please let me know, as I may have to alter/archive this problem. Thank you for your understanding.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

There maybe different views on this problem, like I thought 49 was the only perfect square

Omek K - 2 months ago

True, I have changed 49 to 67. Nice spot, cause i spend a couple of minutes figuring whether there are any other views, but didn't think about perfect squares 😀.

Ethan Mandelez - 2 months ago

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