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

Guduna · **Posted:** Wed Sep 08, 2010 6:38 am

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]

Bunuel · **Posted:** Wed Sep 08, 2010 7:41 am

Guduna wrote:

For all positive integers m, m*= 3m when m is odd and m*=1/2 when m is even. Which of the following is equivalent to 9* x 6*
81
54
36
27
18

Pleas post the questions in their original form.

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]

Note that [] is just some function such that "[m]=3m when m is odd and [m]=(1/2)*m when m is even".

So, [m]=3m when m is odd, [m]=(1/2)*m when m is even.
As 9 is odd then [9] equals to 3*9=27;
As 6 is even then [6] equals to 1/2*6=3;

So [9]*[6]=27*3=81. Note that numbers in the answer choices are also in boxes, so we have: [m]=81. m could be 27 (in this case as 27 is odd [27]=3*27=81) OR 162 (in this case as 162 is even [162]=162/2=81) --> only [27] is in the answer choices.

Answer: D.

kp1811 · **Posted:** Tue Jan 10, 2012 7:59 am

Janealams wrote:

I have exam tomorrow. I will really appreciate if any of you can explain solution to this question. Thanks

Why should we not solve 9 and 6 individually?

when m is 9 (odd) then [m] = 3 * m = [9] = 27 and

m is 6 (even) then [m] =1/2m = [6] = (1/2)*6 = 3

so we get [9] * [6] = 27 *3 = 81

but answers are all in [] so 81 (odd and hence in 3m format) will be equal to [27]

[] used for box symbol used in q

Guduna · **Posted:** Wed Sep 08, 2010 8:01 am

Bunuel

Thank you so much I didn't look at the answers that they were also in squares..

Thanks

gettinit · **Posted:** Wed Dec 08, 2010 8:36 pm

got answer D is explained above. Bunuel good point on the even number bracket as well for the function. Did not think of that.

srkaleem · **Posted:** Mon Feb 06, 2012 6:25 am

I came across this rather simple looking question but got it wrong. i don seem to get where iv gone wrong, please help!

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

The correct answer is 27. I got 81

Bunuel · **Posted:** Mon Feb 06, 2012 6:29 am

srkaleem wrote:

I came across this rather simple looking question but got it wrong. i don seem to get where iv gone wrong, please help!

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

The correct answer is 27. I got 81

Merging similar topics.

You probably got it wrong because you didn't notice that the answer choices were also placed in []. Please refer to the solution above and ask if anything remains unclear.

enigma123 · **Posted:** Mon Apr 02, 2012 1:45 pm

For all positive integer m, *m = 3m when m is odd and *m = \frac{1}{2} m when m is even. Which of the following is equivalent to *9 x *6?

A) 81

B) 54

C) 36

D) 27

E) 18

This is how I solved it. But my answer is wrong.

*m = 3m when m is ODD. Therefore *9 = 27

Same applies to *m = \frac{1}{2} m when m is even. * 6 = 3

Sp *9 x *6 = 81. Where I have done this wrong?

Bunuel · **Posted:** Mon Apr 02, 2012 6:13 pm

enigma123 wrote:

For all positive integer m, *m = 3m when m is odd and *m = \frac{1}{2} m when m is even. Which of the following is equivalent to *9 x *6?

A) 81

B) 54

C) 36

D) 27

E) 18

This is how I solved it. But my answer is wrong.

*m = 3m when m is ODD. Therefore *9 = 27

Same applies to *m = \frac{1}{2} m when m is even. * 6 = 3

Sp *9 x *6 = 81. Where I have done this wrong?

Merging similar topics. Notice that you copied the question incorrectly (the answer choices must also be in boxes), hence wrong answer.

stevie1111 · **Posted:** Tue Apr 03, 2012 2:41 am

Pure deception. Got caught in the trap. :shock:

harshavmrg · **Posted:** Tue Apr 03, 2012 6:53 am

Bunuel wrote:

Guduna wrote:

For all positive integers m, m*= 3m when m is odd and m*=1/2 when m is even. Which of the following is equivalent to 9* x 6*
81
54
36
27
18

Pleas post the questions in their original form.

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]

Note that [] is just some function such that "[m]=3m when m is odd and [m]=(1/2)*m when m is even".

So, [m]=3m when m is odd, [m]=(1/2)*m when m is even.
As 9 is odd then [9] equals to 3*9=27;
As 6 is even then [6] equals to 1/2*6=3;

So [9]*[6]=27*3=81. Note that numbers in the answer choices are also in boxes, so we have: [m]=81. m could be 27 (in this case as 27 is odd [27]=3*27=81) OR 162 (in this case as 162 is even [162]=162/2=81) --> only [27] is in the answer choices.

Answer: D.

i had selected A, but then realised my mistake....Buneal the god....wounderful explanation....

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

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