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2020 AMC 10B Problem 24

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2020 AMC 10B Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 2026
Number Properties · difficulty 4 of 5 · about 8 min · position P21-25

How many positive integers nn satisfy n+100070=⌊n⌋?\dfrac{n+1000}{70} = \lfloor \sqrt{n} \rfloor? (Recall that ⌊x⌋\lfloor x\rfloor is the greatest integer not exceeding xx .)

  1. A)

    22

  2. B)

    44

  3. C)

    66

  4. D)

    3030

  5. E)

    3232

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