Explanation:

Correct Option 1: 7

Apply remainder theorem, => 74¹⁰⁰/9 Dividing 74 by 9, the remainder will be 2, => 2100/9 => [(23)33 × 2]/9 => [(8)33 × 2]/9 Dividing 8 by 9, the remainder will be -1, => [(-1)33 × 2]/9 => -2/9

Since remainder will never be a negative number.

Therefore the remainder = -2 + 9 = 7