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^m^ is equal to the digits in positive integer m in reverse

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Senior Manager
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Joined: 20 May 2014
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^m^ is equal to the digits in positive integer m in reverse [#permalink] New post 19 Oct 2017, 22:43
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Question Stats:

20% (01:36) correct 80% (00:00) wrong based on 5 sessions
^m^ is equal to the digits in positive integer m in reverse order, discounting the zeroes (e.g. ^41^ = 14 but ^3500^ = 53). Which of the following must be true? Select all that apply.

A. ^m^ < ^m+1^
B. m = ^(^m^)^
C. ^1000m^ = ^m^
D. (^m^)(^m^) > ^m^

Kudos for correct solution.
[Reveal] Spoiler: OA
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Re: ^m^ is equal to the digits in positive integer m in reverse [#permalink] New post 20 Oct 2017, 07:19
A and D can be excluded because when the number is a 1-digit the sign would be an equal instead of a <.

B can be excluded too because when the number contains zeros, the equal sign does not hold. E.g. m = 100, ^m^ = 1 and ^^m^^ = 1 because the zeros do not reappear.

We are left with C that is our answer!
Re: ^m^ is equal to the digits in positive integer m in reverse   [#permalink] 20 Oct 2017, 07:19
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^m^ is equal to the digits in positive integer m in reverse

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