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9 is odd: [9] = 3*9 = 27 6 is even: [6] = (1/2)*6 = 3

Hence [9] x [6] = 27 x 3 = 81 Ans: A

My bad. The answers should have been worded as follows (which makes a difference).

A. [81]

B. [54]

C. [36]

D. [27]

E. [18]

When the answers are reworded, the correct answer is D, or [27]. It looks like GMAC was tricky with this question and some readers didn't notice the answers were surrounded by a box. Fortunately, I was lucky enough to find a thread that discusses this:

For all positive integers m,[m]=3m when m is odd and [m]=1/2m when m is even.which of the following is equivalent to [9]*[6]? A)[81] B)[54] C)[36] D)[27] E)[18]

Re: Quant question [#permalink]
07 Oct 2009, 13:43

yogitapruthi wrote:

For all positive integers m,[m]=3m when m is odd and [m]=1/2m when m is even.which of the following is equivalent to [9]*[6]? A)[81] B)[54] C)[36] D)[27] E)[18]

can anybody answer this with explanation.

Thanks

[9] = 3 x 9 = 27 [6] = 6/2 = 3

so [9].[6]= 27 x 3 = [27] (as 27 is odd) _________________

Funny, I came across this questions today as well and I answered it the same way. It's not that 81 is wrong, it's that we chose the wrong answer. I think the asterisk represents a box, right? All of the answer choices were boxed, therefore we're still supposed to follow the rules mentioned in the question. 27* is right because 27 multiplied by 3 (the rule for odd integers) is 81.

The asterisk is a box! But I couldn't copy and paste so I had to come up with something Oh God, now I got it. You're soo right! I completely ignored the fact that the answers were in the box too. My bad. Thanks a lot! Did you look at my other post too? I have a feeling I'm ignoring something obvious in that one too! Thanks again!

hi guys, I can't figure out why I can't get this question right, appreciate all comments in advance.

Q: For all positive integers m, [m]=3m when m is odd and [m]=1/2 m when m is even. What is [9] x [6] equivalent to?

1) [81] 2) [18] 3) [27] 4) [54] 5) [36]

now my answer was 81 but the right answer according to Official GMAT is 27 and I can't seem to understand why! please help me out here.

Because [m] = 3m when m is odd, [9]=3m, m=3. Using the same logic for [6], [6]=3 3*3=9 If you put this back in [m] form you get 3*9=[27] (we must use 3m because m is odd, if it were even it would be .5*9) Thus answer choice C

Thanks for the help. It's from GMAT Prep, my answer is 81, but OA is 27. Anyone knows how to get the right answer? Thank you so much again for the great help and time!!

Re: Tough Algebra, Can anyone help me? Thanks!! [#permalink]
08 Feb 2010, 14:52

1

This post received KUDOS

Expert's post

We know that [9] = 3*9 = 27, since [x] = 3x when x is odd. We also know that [6] = 3, since [x] = x/2 when x is even. So [9]*[6] = 27*3 = 81.

Now, many people choose the wrong answer to this question, despite doing all of the work correctly, because they do not notice that the answer choices are all in boxes - a devious GMAT trap. So the answer choice which reads [81] is not equal to the number 81; it is equal to 3*81 = 243, because [x] = 3x when x is odd. The correct answer here is [27], which is equal to the number 81. _________________

Nov 2011: After years of development, I am now making my advanced Quant books and high-level problem sets available for sale. Contact me at ianstewartgmat at gmail.com for details.

Re: GMAT Prep 1: Symbolism [#permalink]
13 Feb 2010, 10:14

You posted this question incorrectly because all of the answers need to be surrounded with a box, or in your notation, an underline. Failing to do this misses the point of the problem.

Re: GMAT Prep 1: Symbolism [#permalink]
13 Feb 2010, 10:18

LJ wrote:

You posted this question incorrectly because all of the answers need to be surrounded with a box, or in your notation, an underline. Failing to do this misses the point of the problem.

Good spot. I've corrected the answer choices. You're obviously familiar with the problem - care to answer?

gmatclubot

Re: GMAT Prep 1: Symbolism
[#permalink]
13 Feb 2010, 10:18

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