Comparative Bicycle Rentals on Two Days

Very Hard Data Sufficiency Determining Sufficiency

In a certain city, the number of bicycles rented in a day, b, can be expressed through the equation:

$$ b = 3d^2 - 5d + 20 $$

where d represents the day of the month, ranging from 1 to 31.

We want to determine whether the number of bicycles rented on day 15 is more than the number rented on day 20.

Statement (1): The increase in bicycle rentals from day 15 to day 20 can be calculated from the given equation.

Statement (2): On day 15, the number of bicycles rented is 80.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements together are sufficient, but neither statement alone is sufficient.

Both statements together are not sufficient.

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