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

In 5314698, label each digit's position (1-7): 5,3,1,4,6,9,8. Arranged in descending order it becomes 9,8,6,5,4,3,1. For each pair of digits, count how many digits lie between them in the original number versus in the descending arrangement, and check if these counts match. Working through all pairs: (3,1) has 0 digits between them in both arrangements; (3,6) has 2 digits between them in both; (4,8) has 2 digits between them in both; (9,8) has 0 digits between them in both. That's four qualifying pairs — more than two — confirming 'More than two' as correct. This is a standard reasoning-test digit-position puzzle.