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The greatest even factor

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Founder
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The greatest even factor [#permalink] New post 08 May 2018, 16:36
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Question Stats:

82% (00:55) correct 17% (01:05) wrong based on 17 sessions
Quantity A
Quantity B
The greatest even factor of 180 that is less than 90
The greatest odd factor of 180



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The greatest even factor [#permalink] New post 09 May 2018, 08:32
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60 vs 45, hence the answer.

Factoring the numbers would avoid silly mistakes.
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Re: The greatest even factor [#permalink] New post 31 Mar 2019, 07:24
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Expert's post
Carcass wrote:
Quantity A
Quantity B
The greatest even factor of 180 that is less than 90
The greatest odd factor of 180



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Factors of 180: 1, 2, 3, 4, 5, 6, 10, 12, 15 18, 30, 36, 45, 60, 90, 180
So, 60 = the greatest EVEN factor of 180 that is less than 90
And 45 = the greatest ODD factor of 180

We get:
QUANTITY A: 60
QUANTITY B: 45

Answer: B

Cheers,
Brent
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Re: The greatest even factor [#permalink] New post 03 Apr 2019, 02:49
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To find even factors, just find the total number of factors - in this case (4+1)(1+1)(2+1) = 30 total factors - and then subtract the number of odd factors 30 total - 6 odd = 24 even factors. (Also, kudos to your teacher.
Re: The greatest even factor   [#permalink] 03 Apr 2019, 02:49
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The greatest even factor

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