Pairs of Digits in Number Rearrangement
CMAT 2025 · Logical Reasoning · Medium · Letter and Number Series
How many such pairs of digits are there in the number 8314629 each of which has as many digits between them in the number as after arranging the digits in descending order?
- A.
Two
- B.
Three
- C.
Four
- D.
Five
Answer
C
Explanation
Original number: 8 3 1 4 6 2 9. Descending order: 9 8 6 4 3 2 1. Checking the pairs whose gap in the original equals the gap in the sorted sequence: (9,4), (9,6), (6,4), and (4,2). There are 4 such pairs.
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