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

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Which of the following numbers is evenly divisible by 9, 11, [#permalink] New post 10 Nov 2005, 23:47
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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
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Re: PS Divisibility [#permalink] New post 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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Re: PS Divisibility [#permalink] New post 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..... :-D 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.
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 [#permalink] New post 11 Nov 2005, 00:24
Laxie and Nakib, you guys are Q-Masters! :king

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. 8-)
  [#permalink] 11 Nov 2005, 00:24
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