For all positive integers m, [m]=3m when m is odd and

Question

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]

GMATGuruNY · Answer

For all positive integers m, @m=3m when m is odd and @m=(1/2)m when m is even. Which of the following is equivalent to @9 x @6?

A - @81
B - @59
C - @36
D - @27
E - @18

Since @m=3m when m is odd, @9 = 3*9 = 27.

Since @m=(1/2)m when m is even, @6 = (1/2)6 = 3.

Thus, @9 * @6 = 27*3 = 81.

Notice the @ symbol in the answer choices.
The correct answer must be the EQUIVALENT of 81.

Answer choice D: @27
Since @m=3m when m is odd, @27 = 3*27 = 81.

The correct answer is D.

Answer choice A is A TRAP.
Always beware of an answer choice that seems TOO EASY or TOO OBVIOUS.

vinay1983 · Answer

GMATGuruNY wrote:For all positive integers m, @m=3m when m is odd and @m=(1/2)m when m is even. Which of the following is equivalent to @9 x @6? A - @81 B - @59 C - @36 D - @27 E - @18 Since @m=3m when m is odd, @9 = 3*9 = 27. Since @m=(1/2)m when m is even, @6 = (1/2)6 = 3. Thus, @9 * @6 = 27*3 = 81. Notice the @ symbol in the answer choices. The correct answer must be the EQUIVALENT of 81. Answer choice D: @27 Since @m=3m when m is odd, @27 = 3*27 = 81. The correct answer is D. Answer choice A is A TRAP. Always beware of an answer choice that seems TOO EASY or TOO OBVIOUS. How is the answer 27?Please explain

theCodeToGMAT · Answer

[m] = 3m ODD [m] = m/2 EVEN [9] * [6] = 27 * 3 = 81 = [27] Answer [spoiler]{D}[/spoiler]

Jeff@TargetTestPrep · Answer

rakeshd347 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]

We are given that [m] = 3m when m is odd, and [m] = (1/2)*m when m is even, and we must determine the value of [9]*[6].

Since 9 is odd, [9] = 3 x 9 = 27.

Since 6 is even, [6] = (1/2) x 6 = 3.

Thus, [9]*[6] = 27 x 3 = 81.

Now we must determine which “bracketed” answer choice is equal to 81.

Since 27 is odd, we see that [27] = 27 x 3 = 81.

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Brent@GMATPrepNow · Answer

[m] = 3m for all odd m; [m] = (1/2)(m) for all even m. solve [9] X [6]?

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 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

Brent@GMATPrepNow · Answer

Brent@GMATPrepNow wrote:[m] = 3m for all odd m; [m] = (1/2)(m) for all even m. solve [9] X [6]? 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 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

Choose how you want to prepare

Get Ready for GMAT Test Day Faster with Live Online Classes

Target Test Prep EA OnDemand

Target Test Prep GMAT OnDemand

For all positive integers m, [m]=3m when m is odd and

GMAT/MBA Expert

GMAT/MBA Expert

Chicago Booth

GMAT Course Reviews

Admissions Consulting Reviews

FREE GMAT PREP RESOURCES

GMAT PREP DEAL TRACKER