Question

How many such pairs of digits are there In the number 531268947 each of which has as many digits between them in the number as when they are arranged in descending order?

• A. None
• B. One
• C. Two
• D. More than three

Answer 1

The correct option is D More than three

The given number is: 531268947.

Arranging the digits in descending order, we get: 987654321.

We have the following pairs of digits, satisfying the given conditions.

Digits in Given number Digits in Descending order

5 3 1 2 5 4 3 2

3 1 2 6 6 5 4 3

1 2 2 1

1 2 6 8 9 4 7 7 6 5 4 3 2 1

2 6 8 9 4 7 7 6 5 4 3 2

8 9 9 8

9 4 7 9 8 7

Thus, we have 7 such pairs, namely (5, 2), (3, 6), (1,2), (1, 7), (2,7), (8, 9) and (9, 7). Hence, the answer is (D).