Observation

The Chief Examiner reported that this question was not popular among candidates as only

few candidates who attempted it scored the full marks. Majority of the candidates scored zero.

For four digit numbers that are even, it will either end with 2, 4 or 6.

If the first digit is 5, then we have 1 × 3 × 2 × 3 = 18.

If the first digit is 6, then 1 × 3 × 2 × 2 = 12.

For five digit numbers that are even, we have 4 × 3 × 2 × 1 × 3 = 72.

Therefore, even numbers greater than 5000 = 18 + 12 + 72 = 102.