**Answer:** Option **
A **

**Explanation:**

3463 × 295 – 18611 = ? + 5883

1021585 – 18611 = ? + 5883

1002974 = ? + 5883

? = 1002974 – 5883 = 997091

**Intuitive Approach:**
We can reach the correct answer if we solve the given equation using the digits at the unit's and ten's places.

Applying the BODMAS rule, let's first find the last two digits of the first two terms on LHS,

_ _ 63 x _ 95 = _ _ _ _ _ 85

Subtracting the last two digits of the 3rd term, we get

_ _ _ _ _ 85 - _ _ _ 11 = _ _ _ _ _ 74

Now, the last two digits of the required number = Last two digits of the number on LHS - _ _ 83

= _ _ _ _ _ 74 - _ _ 83

= _ _ _ _ 91

We can therefore pick option A as the correct answer.