A number is divided by 9 and gives a remainder of 2. If this number is multiplied by 3, what will be the remainder when the new number is divided by 9?
Practice Questions
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A number is divided by 9 and gives a remainder of 2. If this number is multiplied by 3, what will be the remainder when the new number is divided by 9?
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The new number is (original number * 3) = (9k + 2) * 3 = 27k + 6, which gives a remainder of 6 when divided by 9.
Questions & Step-by-step Solutions
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Q
Q: A number is divided by 9 and gives a remainder of 2. If this number is multiplied by 3, what will be the remainder when the new number is divided by 9?
Solution: The new number is (original number * 3) = (9k + 2) * 3 = 27k + 6, which gives a remainder of 6 when divided by 9.
