positive integer m

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by Brent@GMATPrepNow » Mon Sep 07, 2015 8:25 am
[m] = 3m for all odd m; [m] = 1/2m for all even m. solve [9] X [6]?

A) (81)
B) (54)
C) (36)
D) (27)
E) (18)
It is true that [9] x [6] = 81.
9 is odd, so [9] = (3)(9) = 27
6 is even, so [6] = 6/2 = 3
So, [9] x [6] = 27 x 3 = 81

However, the answer choices are as follows:
a) [81]
b) [54]
c) [37]
d) [27]
e) [18]

So, which of these 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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by [email protected] » Mon Sep 07, 2015 8:27 am
Hi anant03,

Brent has correctly explained the math behind this question, so I won't rehash that material here.

This is an example of a "symbolism" question, in which the prompt "makes up" a math symbol, tells you what it means, and asks you to perform a basic calculation with it. You'll likely see 1 of these on the Official GMAT and you appeared to handle the bulk of the work just fine.

You ARE expected to use the symbol wherever it appears, so realizing the symbol appears in the answer choices means that you had a bit more work to do. This "twist" on a symbolism question isn't too common, but as you do better and better in the Quant section, the GMAT will adapt to you and give you more questions that require slightly more work (or that have "twists"). Be on the lookout for those details as you continue to study.

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by anant03 » Mon Sep 07, 2015 9:10 pm
Brent@GMATPrepNow wrote:
[m] = 3m for all odd m; [m] = 1/2m for all even m. solve [9] X [6]?

A) (81)
B) (54)
C) (36)
D) (27)
E) (18)
It is true that [9] x [6] = 81.
9 is odd, so [9] = (3)(9) = 27
6 is even, so [6] = 6/2 = 3
So, [9] x [6] = 27 x 3 = 81

However, the answer choices are as follows:
a) [81]
b) [54]
c) [37]
d) [27]
e) [18]

So, which of these 5 answer choices equals 81?

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

So, the correct answer is D

Cheers,
Brent
Hi Brent ,

Thanks for the explanation , but the question is simply asking which of the following is equivalent to [9]X[6] and also how do we get to know that we have to do more after getting 81 as answer?

Please explain .[/b]

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by Brent@GMATPrepNow » Mon Sep 07, 2015 9:15 pm
IF the answer choices were
a) 81
b) 54
c) 37
d) 27
e) 18
Then we'd just select A.

But, the answer choices aren't given as regular numbers. They're given as boxed numbers that require us to find their value (using the given formula).

Cheers,
Brent
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by Matt@VeritasPrep » Tue Sep 08, 2015 2:09 am
anant03 wrote:
Thanks for the explanation , but the question is simply asking which of the following is equivalent to [9]X[6] and also how do we get to know that we have to do more after getting 81 as answer?

Please explain
One nice way to stay out of trouble here is to transform all the answers. Since [81] isn't just 81, start by writing it as 243. (If you have a piece of paper, write each transformed answer choice down.)

This will help you get in the habit of not reading [27] as 27, for instance, and will help you solve other problems too.