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Positive integers x y and z have a total of 15 digits. If S

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kevincan
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Positive integers x y and z have a total of 15 digits. If S [#permalink] New post   Updated on: 09 Mar 2007, 08:56
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Positive integers x y and z have a total of 15 digits. If S is the set of all numbers of digits that the product xyz could have, then the range of S is

(A) 1 (B) 2 (C) 3 (D) 4 (5) 5



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Originally posted by kevincan on 09 Mar 2007, 08:23.
Last edited by kevincan on 09 Mar 2007, 08:56, edited 1 time in total.
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Re: Positive integers x y and z have a total of 15 digits. If S [#permalink] New post   09 Mar 2007, 08:48
Hi

Can not unterstand what XYZ means; is it the product of the integers or anything else

thanks
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Re: Positive integers x y and z have a total of 15 digits. If S [#permalink] New post   09 Mar 2007, 09:53
Hi
1,2 and 1*10^12 have 15 digits in total and the product has 13 digits in total
1 000 000,1 000 001 and 1 have 15 digits in total and the product has 14 digits.
The diff i s 10 so S is 10
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Re: Positive integers x y and z have a total of 15 digits. If S [#permalink] New post   09 Mar 2007, 21:32
kevincan wrote:
Positive integers x y and z have a total of 15 digits. If S is the set of all numbers of digits that the product xyz could have, then the range of S is

(A) 1 (B) 2 (C) 3 (D) 4 (5) 5


Kevin, is the answer B?

The maximum number of digits can be 15, and the minimum number of digits can be 13. The range in that case is 2. :)



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Re: Positive integers x y and z have a total of 15 digits. If S [#permalink]
09 Mar 2007, 21:32
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