Question : Which of the following numbers is NOT divisible by 11?
Option 1: 1735624
Option 2: 752563
Option 3: 1661308
Option 4: 1904529
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Correct Answer: 752563
Solution :
If the difference between the sum of the digits at the odd places and the sum of digits at even places of the number is 0 or divisible by 11, then the number is divisible by 11.
Option 1: 1735624
The sum of digits at odd places = 1 + 3 + 6 + 4 = 14
The sum of digits at even places = 7 + 5 + 2 = 14
Difference = 14 – 14 = 0
Hence, option 1 is divisible by 11.
Option 2: 752563
The sum of digits at odd places = 7 + 2 + 6 = 15
The sum of digits at even places = 5 + 5 + 3 = 13
Difference = 15 – 13 = 2
Hence, option 2 is not divisible by 11.
Hence, the correct answer is 752563.
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