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Question
When a certain positive integer P is divided by another positive integer, the remainder is $${r_{1}}$$ . When a second positive integer Q is divided by the same integer, the remainder is $${r_{2}}$$ and when (P + Q) is divided by the same divisor, the remainder is $${r_{3}}$$ . Then the divisor may be :
Options:
A .  $${r_{1}}$$$${r_{2}}$$$${r_{3}}$$
B .  $${r_{1}}$$ + $${r_{2}}$$ - $${r_{3}}$$
C .  $${r_{1}}$$ - $${r_{2}}$$ + $${r_{3}}$$
D .  $${r_{1}}$$ + $${r_{2}}$$ - $${r_{3}}$$
Answer: Option D

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