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2021 AMC 10B Problem 13

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2021 AMC 10B Problem 13AMC 10 Step by Step

Name: Date: September 13, 2026

Bases & Digits · difficulty 3 of 5 · about 4 min · position P11-15

Let $n$ be a positive integer and $d$ be a digit such that the value of the numeral $\underline{32d}$ in base $n$ equals $263$ , and the value of the numeral $\underline{324}$ in base $n$ equals the value of the numeral $\underline{11d1}$ in base six. What is $n + d ?$

A)
$10$
B)
$11$
C)
$13$
D)
$15$
E)
$16$

2021 AMC 10B Problem 13

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