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Number System · Question 20 of 71

Question 20

EasyOriginal question

Which of the following numbers is divisible by 11?

Options for question 20

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Rule for 11: the difference between the sum of alternate digits must be 0 or a multiple of 11.

  2. 7,381: (7+8)−(3+1)=15−4=11(7 + 8) - (3 + 1) = 15 - 4 = 11, a multiple of 11.

  3. 2,845 gives 6−13=−76 - 13 = -7, 4,617 gives 5−13=−85 - 13 = -8, and 6,473 gives 13−7=613 - 7 = 6.

Worth noting

A difference of 11 (not just 0) also passes the test: 7,381=11×6717{,}381 = 11 \times 671.

Concept
Divisibility rule for 11
Typical time
40 s
Your time
—
The rule this testsDivisibility rules
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Ten questions from Number System, at your own pace.

Practise this chapter →

Ten questions from Number System, at your own pace.