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2022 AMC 10B Problem 8

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2022 AMC 10B Problem 8AMC 10 Step by Step

Name: Date: October 28, 2026

Divisibility & Factors · difficulty 2 of 5 · about 3 min · position P1-10

Consider the following $100$ sets of $10$ elements each: $\begin{align*} &\{1,2,3,\ldots,10\}, \\ &\{11,12,13,\ldots,20\},\\ &\{21,22,23,\ldots,30\},\\ &\vdots\\ &\{991,992,993,\ldots,1000\}. \end{align*}$ How many of these sets contain exactly two multiples of $7$ ?

A) $40$
B) $42$
C) $43$
D) $49$
E) $50$

2022 AMC 10B Problem 8

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