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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when

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Intern  B
Joined: 29 Oct 2016
Posts: 23
Re: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when  [#permalink]

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I am trying to figure out what concepts can be taken from this question. I understand it's an arithmetic question, for which an understanding of integers, multiplication, odd/even properties is required, but the fact that you are looking for the answer which equals 81 did not occur to me when I attempted this question. Is there a name for this concept and/or how can we expect to categorize this and look out for it in future questions? Does this technically require an understanding of functions/nomenclature?
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4147
Re: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when  [#permalink]

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Top Contributor
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Guduna wrote:
For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is * equivalent to?

A. 
B. 
C. 
D. 
E. 

9 is odd, so  = (3)(9) = 27
6 is even, so  = 6/2 = 3
So,  x  = 27 x 3 = 81

BEFORE you select answer choice A, notice that 81 has brackets around it.
Since 81 is odd,  = (3)(81) = 243
So, answer choice A is NOT correct.

So, which of the 5 answer choices equals 81?

Since 27 is odd,  = (3)(27) = 81

So, the correct answer is D

Cheers,
Brent
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Manager  B
Joined: 12 Mar 2018
Posts: 69
GMAT 1: 630 Q49 V27 GPA: 4
Re: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when  [#permalink]

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Guduna wrote:
For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is * equivalent to?

A. 
B. 
C. 
D. 
E. 

The question is "Equivalent to" and not equal to. Anyone could say * = 81 unless he is really bad at Quant.
So the answer is not 81 the answer is what [m] = 81; Hence .
Non-Human User Joined: 09 Sep 2013
Posts: 13740
Re: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when  [#permalink]

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_________________ Re: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when   [#permalink] 21 Nov 2019, 09:06

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