Select the correct answerA number when divided by 729 gives a remainder of 56. What will we get as remainder if the same number is divided by 27 ?Options0241
Question
Select the correct answer
A number when divided by 729 gives a remainder of 56. What will we get as remainder if the same number is divided by 27 ?
Options
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Solution
The answer is 2.
Here's the step-by-step solution:
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We know that 729 is a multiple of 27.
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When a number is divided by 729 and gives a remainder of 56, it means that the number is in the form of 729n + 56, where n is the quotient.
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If we divide the same number by 27, we are essentially dividing (729n + 56) by 27.
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Since 729 is a multiple of 27, 729n will be completely divisible by 27, leaving no remainder.
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Therefore, the remainder when the number is divided by 27 will be the same as when 56 is divided by 27.
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When 56 is divided by 27, the remainder is 2.
So, the correct answer is 2.
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