Explanation:

- To solve this, calculate the product: 85 x 87 x 89 x 91 x 95 x 96.

- Find the product modulo 100, which is the remainder when divided by 100.

- Notice pairs like 85 and 95, both ending in 5, giving a product ending in 25.

- Multiply with any other number ending in an odd digit results in a product ending in 25.

- 87 and 91 multiply to give a remainder of 57 when divided by 100.

- 89 multiplies with products ending in 25 or 57 to still end with 75 or remainders like 63.

- Lastly, multiply the result with 96 for a final calculation.

- The remainder when divided by 100 is 0.

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