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State whether the following statement is true or false.

The number 19083625 is divisible by 11.

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True

False

answer is A.

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Detailed Solution

The given number is 19083625.
If the difference between the sum of digits in odd places and sum of digits in even places of a number is 0 or a multiple of 11, then the number is divisible by 11.
Here, we have,
Sum of digits in odd places is,

= 1 + 0 + 3 + 2 = 6

Sum of digits in even places is,

= 9 + 8 + 6 + 5 = 28

The difference is

6 − 28 = − 22

, which is a multiple of 11.
Therefore, 19083625 is divisible by 11.
Therefore, the given statement is true.
Hence, option (1) is correct.

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