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Number System · Question 48 of 71

Question 48

MediumOriginal question

When a number is divided by 56, the remainder is 29. What is the remainder when the same number is divided by 8?

Options for question 48

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Write the number as 56k+2956k + 29.

  2. 56k is a multiple of 8, so only 29 matters.

  3. 29=8×3+529 = 8 \times 3 + 5, so the remainder is 5.

Worth noting

This works because 8 divides 56. Dividing 29 by 7 instead gives 1; 3 is the quotient, not the remainder.

Concept
Remainder on a factor of the original divisor
Typical time
55 s
Your time
—
The rule this testsRemainders and unit digits
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Ten questions from Number System, at your own pace.

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Ten questions from Number System, at your own pace.

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