Multiple choice general knowledge math & puzzles

How many such paires of digits are there in the number 5314698 each of which has as many digits between them in the number as when they have are arranged in descending order?

  1. None

  2. One

  3. Two

  4. More than two
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Number: 5314698. Descending: 865431. Pairs with same gap: 8-6 (0 digits between in both), 5-4 (0 digits between in both), 8-5 (1 digit between in both), 8-4 (2 digits between in both). Total: 4 matching pairs.

AI explanation

Working through the number 5314698, you compare, for every pair of digits, how many digits sit between them in the original sequence versus how many sit between the same two digits once the number is rearranged in descending order. Checking all pairs shows this 'gap count' matches for four separate pairs, which is more than two, so 'More than two' is the correct count.

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