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For all positive integers \(m, [m] = 3m\) when \(m\) is odd and \([m] = \dfrac{m}2\) when \(m\) is even. What is

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by Gmat_mission » Fri Aug 20, 2021 11:52 am

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For all positive integers \(m, [m] = 3m\) when \(m\) is odd and \([m] = \dfrac{m}2\) when \(m\) is even. What is \([9]\cdot [6]\) equivalent to?

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

Answer: D

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Re: For all positive integers \(m, [m] = 3m\) when \(m\) is odd and \([m] = \dfrac{m}2\) when \(m\) is even. What is

by Brent@GMATPrepNow » Sat Aug 21, 2021 7:15 am
Gmat_mission wrote: ↑
Fri Aug 20, 2021 11:52 am
 For all positive integers \(m, [m] = 3m\) when \(m\) is odd and \([m] = \dfrac{m}2\) when \(m\) is even. What is \([9]\cdot [6]\) equivalent to?

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

Answer: D

Source: GMAT Prep
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
Brent Hanneson - Creator of GMATPrepNow.com
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