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sh3lsh

  • one year ago

How many positive integers less than 1000 are there that are divisible by 7, but not 11?

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  1. anonymous
    • one year ago
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    Any number that would be divisible by 7 and 11 at the same time would also be divisible by 77. There are 12 positive values less than 1000 that are also divisible by 77. Now there are 142 positive numbers less than 1000 that are divisible by 7. I want to omit the ones that are also divisible by 11, meaning I want to omit 12 of them. So I would say the answer is 130.

  2. sh3lsh
    • one year ago
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    Ah. Why would it be incorrect if I subtracted off the integers that are divisible by 11?

  3. anonymous
    • one year ago
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    Well, there are integers divisible by 11 but not divisible by 7. 121 for example. All the numbers I want must be divisible by 7. So the only ones I need to omit are ones divisible by both 7 and 11 at the same time.

  4. triciaal
    • one year ago
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    We need multiples of 7 that are not multiples of 77

  5. sh3lsh
    • one year ago
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    Ah, yeah that's correct!

  6. sh3lsh
    • one year ago
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    You're the bomb! Have a nice night or day!

  7. anonymous
    • one year ago
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    Yeah, that would be another way to phrase it, multiples of 7 that are not multiples of 77.

  8. anonymous
    • one year ago
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    You're welcome :)

  9. Loser66
    • one year ago
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    @Concentrationalizing can I make question?

  10. anonymous
    • one year ago
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    Hm?

  11. Loser66
    • one year ago
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    hihihi... I forgot what I have to ask. I am sorry.

  12. anonymous
    • one year ago
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    Lol, no worries.

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