Correct Answer - Option 1 : 3
Given:
If 1433 × 1423 × 1425 is divided by 12
Formula used:
Dividend = Divisor x Quotient + Remainder
Calculation:
1421 = 118 × 12 + 5 = 12k + 5, where k = 118.
1423 = 12k + 7
1425 = 12k + 9
N = (12k + 5)(12 k + 7)(12k + 9)
When N is divided by 12, the remainder is same as the remainder,
When 5 × 7 × 9 = 315 is divided by 12.
5 × 7 × 9 = 35 × 9 = 315
315 = 312 + 3 = 12 × 26 + 3
∴ The remainder is 3.
