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

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For all positive integers m, [m]=3m when m is odd [#permalink] New post 08 Sep 2010, 05:38
00:00
A
B
C
D
E

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  25% (low)

Question Stats:

61% (01:31) correct 38% (00:29) wrong based on 73 sessions
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]
[Reveal] Spoiler: OA

Last edited by Bunuel on 23 Jul 2013, 09:37, edited 2 times in total.
Edited the question.
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Re: Very easy but still got wrong.. Need Your answer [#permalink] New post 08 Sep 2010, 06:41
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Expert's post
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]

Notice 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.

Similar question to practice: when-x-is-even-x-2-1-when-x-is-odd-2x-1-then-132059.html
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Re: Very easy but still got wrong.. Need Your answer [#permalink] New post 08 Sep 2010, 07:01
Bunuel

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

Thanks
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Re: Very easy but still got wrong.. Need Your answer [#permalink] New post 08 Dec 2010, 19:36
got answer D is explained above. Bunuel good point on the even number bracket as well for the function. Did not think of that.
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Re: Formula Question - Gmatprep [#permalink] New post 10 Jan 2012, 06:59
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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
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Re: For all positive integers m, [m]=3m when m is odd [#permalink] New post 03 Apr 2012, 01:41
Pure deception. Got caught in the trap. :shock:
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Re: Very easy but still got wrong.. Need Your answer [#permalink] New post 03 Apr 2012, 05:53
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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Re: For all positive integers m, [m]=3m when m is odd [#permalink] New post 21 Jun 2013, 02:47
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PS question help.... [#permalink] New post 12 Apr 2014, 19:34
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 x 6

a.81
b.54
c.36
d.27
e.18

Thanks in advance
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Re: PS question help.... [#permalink] New post 13 Apr 2014, 01:32
AJ21 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 x 6

a.81
b.54
c.36
d.27
e.18

Thanks in advance


Hi,

9 x 6 = 3*9*6/2 = 27*3 = 81

So, from the given options the answer is A.

But as the official answer you have given is D, The options should have _ line under them.
If options are:

a.81
b.54
c.36
d.27
e.18

The answer would be D because 27= 3*27 = 81


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Re: PS question help.... [#permalink] New post 13 Apr 2014, 05:19
Expert's post
AJ21 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 x 6

a.81
b.54
c.36
d.27
e.18

Thanks in advance


Merging similar topics. Please refer to the discussion above.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rules 3 and 5. Thank you.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: PS question help....   [#permalink] 13 Apr 2014, 05:19
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