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# Which of the following numbers is evenly divisible by 9, 11,

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Current Student
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Which of the following numbers is evenly divisible by 9, 11, [#permalink]

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10 Nov 2005, 23:47
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100% (03:25) correct 0% (00:00) wrong based on 2 sessions

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Which of the following numbers is evenly divisible by 9, 11, 12, 13, and 15? Any shortcuts?

A. 462,220
B. 463,330
C. 463,320
D. 466,660
E. 460,660
SVP
Joined: 24 Sep 2005
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10 Nov 2005, 23:57
GMATT73 wrote:
Which of the following numbers is evenly divisible by 9, 11, 12, 13, and 15? Any shortcuts?

A. 462,220
B. 463,330
C. 463,320
D. 466,660
E. 460,660

consider 9 first of all. The sum of all digits must be a number which is divisible by 9.
A: 16 --> out
B: 19 --> out
C: 18 ---> yeah
D: 28 ---> out
E: 22 -----> out
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11 Nov 2005, 00:04
GMATT73 wrote:
Which of the following numbers is evenly divisible by 9, 11, 12, 13, and 15? Any shortcuts?

Hey Matt,
Champions know that there is no shortcut..... Just kidding buddy

I got C 46320

the way I did it is that, I calculated the LCM which is 11*12*13*15 = 25740

now I figured because 25* 18 is 450, so the answer choice will be close to that..
so multiplying 25740 by 12 gives me 463320. Bingo that is choice C

took me approximately 3 minutes to do it.
_________________

hey ya......

Current Student
Joined: 29 Jan 2005
Posts: 5218
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11 Nov 2005, 00:24
Laxie and Nakib, you guys are Q-Masters!

OA is C

I made the mistake of multiplying all the factors together and the doubled the product. Took over 3 minutes. Laxie`s method takes less than 30 seconds.
11 Nov 2005, 00:24
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