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Number System · Question 43 of 71

Question 43

EasyOriginal question

Three numbers leave remainders 3, 5 and 6 when each is divided by 8. What is the remainder when their sum is divided by 8?

Options for question 43

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The remainder of a sum equals the sum of the remainders, reduced by the divisor.

  2. 3+5+6=143 + 5 + 6 = 14.

  3. 14=8×1+614 = 8 \times 1 + 6, so the remainder is 6.

Worth noting

14 is not a valid remainder when dividing by 8 — it must be reduced. 90 is the product of the remainders, which applies to a product, not a sum.

Concept
Remainder of a sum
Typical time
40 s
Your time
—
The rule this testsRemainders and unit digits
Practise this chapter →

Ten questions from Number System, at your own pace.

Practise this chapter →

Ten questions from Number System, at your own pace.