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# For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when

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Intern
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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02 May 2017, 17:05
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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?
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Posts: 4235
Location: Canada
Re: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when  [#permalink]

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19 Apr 2018, 15:53
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 [9]*[6] equivalent to?

A. [81]
B. [54]
C. [37]
D. [27]
E. [18]

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

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

So, which of the 5 answer choices equals 81?

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

So, the correct answer is D

Cheers,
Brent
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Joined: 12 Mar 2018
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Re: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when  [#permalink]

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08 Nov 2018, 11:58
Guduna wrote:
For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[6] equivalent to?

A. [81]
B. [54]
C. [37]
D. [27]
E. [18]

The question is "Equivalent to" and not equal to. Anyone could say [9]*[6] = 81 unless he is really bad at Quant.
So the answer is not 81 the answer is what [m] = 81; Hence [27].
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Re: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when  [#permalink]

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

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