Which of the following numbers is divisible by

Solution

1. Checking 645372: Divisibility by 2: 645372 is even (last digit is 2) ⇒ Divisible by 2 Divisibility by 11: Sum of digits at odd places = 6 + 5 + 7 = 18 Sum of digits at even places = 4 + 3 + 2 = 9 Difference = 18 - 9 = 9 (Not Divisible by 11) ⇒ Not Divisible by 11 645372 is divisible by 22. 2. Checking 893002: Divisibility by 2: 893002 is even (last digit is 2) ⇒ Divisible by 2 Divisibility by 11: Sum of digits at odd places = 8 + 3 + 0 = 11 Sum of digits at even places = 9 + 0 + 2 = 11 Difference = 11 - 11 = 0 (Divisible by 11) ⇒ Divisible by 11 893002 is divisible by 22. 3. Checking 654320: Divisibility by 2: 654320 is even (last digit is 0) ⇒ Divisible by 2 Divisibility by 11: Sum of digits at odd places = 6 + 4 + 2 = 12 Sum of digits at even places = 5 + 3 + 0 = 8 Difference = 12 - 8 = 4 (Not divisible by 11) ⇒ Not divisible by 11 654320 is not divisible by 22. 4. Checking 602351: Divisibility by 2: 602351 is odd (last digit is 1) ⇒ Not divisible by 2 602351 is not divisible by 22. Correct Option: 1 (893002)