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# Two numbers when divided by a certain divisor leave

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CEO
Joined: 15 Aug 2003
Posts: 3454
Two numbers when divided by a certain divisor leave [#permalink]

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29 Sep 2003, 21:06
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Two numbers when divided by a certain divisor leave remainders of 431 and 379 respectively. When the sum of these two numbers is divided by the same divisor, the remainder is 211. What is the divisor?

(1) 599 (2) 1021 (3) 263 (4) Cannot be determined
Senior Manager
Joined: 22 Aug 2003
Posts: 257
Location: Bangalore

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30 Sep 2003, 21:04
a = nk + 431
b = nj + 379

Now, a+b = n(k+j)+ 431 +379
= n(k+j) + 599 +211
Given 211 is remainder, so n can be 599 or some factor of 599.
Choices tell that it is 599.
30 Sep 2003, 21:04
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