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Question
Which of the following statement is true?
If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.
Options
True
False
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Solution
False
Example: 5 divides 10, which is a sum of 3 and 7. However, it neither divides 3 nor 7.
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A five-digit number AABAA is divisible by 33. Write all the numbers of this form.
