Question

The remainder when 72 × 73 × 78 × 76 is divided by 35 is: 
1. 12
2. 22
3. 8
4. 15

Answer 1

Correct Answer - Option 3 : 8

Given:

(72 × 73 × 78 × 76) divided by 35

Concept Used:

We divide every number individually by 35 and remainder left will be operated as signs given in the original equation, and if the operated value is more than 35 then we will divide it further till we get values less than 35 and that value will be remainder for the given equation.

Calculation:

(72 × 73 × 78 × 76)/35

⇒ (2 × 3 × 8 × 6)/35

⇒ 288/35

⇒ 8/35

Since 8 cannot be divided further by 35

∴ The remainder of the given equation is 8