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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Question : If 14331433 × 1422 × 1425 is divided by 10, then what is the remainder?
Option 2: 9
Option 3: 0
Question : The remainder when 72 × 73 × 78 × 76 is divided by 35 is:
Option 1: 12
Option 2: 15
Option 3: 22
Question : The least number, which when divided by 5, 6, 7 and 8 leaves a remainder of 3, but when divided by 9, leaves no remainder, is:
Option 1: 1677
Option 2: 1683
Option 3: 2523
Option 4: 3363
Question : Which of the following numbers leaves the remainder equal to the highest common factor of 6, 8, and 9, when divided by 6, 8 and 9?
Option 1: 291
Option 2: 575
Option 3: 506
Option 4: 433
Question : What will be the remainder when $252^{126}+244^{152}$ is divided by 10?
Option 1: 4
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