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Q: What is the solution in finding how many numbers between 10 and 100 are exactly divisible by 11?
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Can 121 be diviible by 2?

Yes, and the result is 60.5 (any rational number is divisible by 2) but I suspect the questioner might be thinking of "divisible by 2 with no remainder". On that path you start out by finding 60, with remainder 1. Sometimes the question is put as "is it Exactly divisible by 2?". Again, technically any rational number is "exactly" divisible by 2, but the word "exactly" has commonly come to imply "without remainder". So be careful.


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A whole number is divisible by 5 if it ends with what or what?

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What is the probability that you choose either a number divisible by 4 or a number divisible by 3?

The chances of you finding a number divisible by 4 is 1/4 (because out of every four numbers, 1 of them is divisible by 4), and a 1/3 chance of finding a number divisible by 3 (see above). If we add them up, we get the chance, 1/4+1/3= 3/12+4/12. Now this would be saying that finding numbers that would be divisible by 12 (the ones divisible by 3 AND 4) would count twice, and we don't want that. To counter this, we have to subtract the chances of you finding a multiple of 12 once (so that the chances of finding the multiple of 12 would count ONCE). This translates to 3/12+4/12-1/12=6/12=1/2. :)


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