Question : The remainder when 72 × 73 × 78 × 76 is divided by 35 is:
Option 1: 12
Option 2: 15
Option 3: 22
Option 4: 8
Correct Answer: 8
Solution :
(72 × 73 × 78 × 76) divided by 35
We divide every number individually by 35, then the total remainder is also divided by 35 to get the required remainder.
$\frac{(72 × 73 × 78 × 76)}{35}$
⇒ $\frac{(2 × 3 × 8 × 6)}{35}$
⇒ $\frac{288}{35}$
⇒ $\frac{8}{35}$
Since 8 cannot be divided further by 35
$\therefore$ The required remainder is 8.
Hence, the correct answer is 8.
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