Question : If 1433 × 1433 × 1422 × 1425 is divided by 12, then what is the remainder?
Option 1: 3
Option 2: 6
Option 3: 9
Option 4: 8
Correct Answer: 6
Solution :
Remainder of (1433 × 1433 × 1422 × 1425) ÷ 12
= Remainder of (1433 ÷ 12) × Remainder of (1433 ÷ 12) × Remainder of (1422 ÷ 12) × Remainder of (1425 ÷ 12)
= Remainder of (5 × 5 × 6 × 9) ÷ 12
= Remainder of (1350 ÷ 12)
= 6
Hence, the correct answer is 6.
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