Correct Answer - Option 2 : 2455
Given:
The divided by 12, 16, 24, 36 and 68 leaves a remainder 7
Calculation
The number = 12, 16, 24, 36, 68
Factors of 12 = 2 × 2 × 3
Factors of 16 = 2 × 2 × 2 × 2
Factors of 24 = 2 × 2 × 2 × 3
Factors of 36 = 2 × 2 × 3 × 3
Factors of 68 = 2 × 2 × 17
Then LCM = 2 × 2 × 2 × 2 × 3 × 3 × 17 = 2448
Then, the number = 2448 + 7
⇒ 2455
∴ The required number is 2455
