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

by Vincen » Thu Jun 10, 2021 11:33 am

00:00

A

B

C

D

E

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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 $$\cdot $$ equivalent to?

A. $$$$

B. $$$$

C. $$$$

D. $$$$

E. $$$$

Source: GMAT Prep

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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 [email protected] » Fri Jun 11, 2021 6:41 am
Vincen wrote:
Thu Jun 10, 2021 11:33 am
For all positive integers $$m, [m] = 3m$$ when $$m$$ is odd and $$[m] = \dfrac{m}2$$ when $$m$$ is even. What is $$\cdot $$ equivalent to?

A. $$$$

B. $$$$

C. $$$$

D. $$$$

E. $$$$

Source: GMAT Prep
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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