What is the remainder when 85 × 87 × 89 × 91 × 95 × 96  is divided by 100?

(UPSC CSAT – 2023)

1. 0
2. 1
3. 2
4. 4

Solution: Ans.(1)

100 = 5×5×4

The expression 85 × 87 × 89 × 91 × 95 × 96 have all the factors 5×5×4, therefore all the factors cancelled out and remainder will be 0.