Which one of the following numbers is exactly divisible by 11?*4 points235641245642315624415624

To find out which number is exactly divisible by 11, we can use the rule of divisibility by 11. According to this rule, a number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places is either 0 or a multiple of 11.

Let's apply this rule to each of the given numbers:

1. 235641: (2+5+4) - (3+6+1) = 11 - 10 = 1 (not divisible by 11)
2. 245642: (2+5+4) - (4+6+2) = 11 - 12 = -1 (not divisible by 11)
3. 315624: (3+5+2) - (1+6+4) = 10 - 11 = -1 (not divisible by 11)
4. 415624: (4+5+2) - (1+6+4) = 11 - 11 = 0 (divisible by 11)

So, the number 415624 is exactly divisible by 11.