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
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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

This is a duplicate of the identical question testing the number 5314698. Labeling positions 1-7 as 5,3,1,4,6,9,8, and comparing against the descending arrangement 9,8,6,5,4,3,1, the pairs of digits that have the same number of digits between them in both arrangements are (3,1), (3,6), (4,8), and (9,8) — four pairs total, which is 'more than two.' The other options (none, one, two) undercount the qualifying pairs. This is a standard number-position reasoning question.

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