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# Let a, b, c, d, e, f, g, h, I be positive integers from 1 to

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Director
Joined: 15 Aug 2005
Posts: 804
Location: Singapore
Followers: 2

Kudos [?]: 22 [0], given: 0

Let a, b, c, d, e, f, g, h, I be positive integers from 1 to [#permalink]  27 Oct 2005, 18:23
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Let a, b, c, d, e, f, g, h, I be positive integers from 1 to 9 that represents digits. The digits in the 5-digit number abcd9 are exactly divisible by the three digit ef7. The quotient could be

A. gh3
B. gh4
C. gh5
D. gh6
E. gh7
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Cheers, Rahul.

Director
Joined: 14 Sep 2005
Posts: 993
Location: South Korea
Followers: 2

Kudos [?]: 50 [0], given: 0

All that matters is the last digit.

The unit digit of abcd9 is 9, and the unit digit of ef7 is 7.

Here, gh7 is the only possible number that can yield a number which ends with 9 when multiplied by 7.
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Auge um Auge, Zahn um Zahn !

Last edited by gamjatang on 28 Oct 2005, 01:46, edited 2 times in total.
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