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2015 AMC 10A Problem 18

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2015 AMC 10A Problem 18AMC 10 Step by Step

Name: Date: September 13, 2026

Bases & Digits · difficulty 3 of 5 · about 5 min · position P16-20

Hexadecimal (base-16) numbers are written using numeric digits $0$ through $9$ as well as the letters $A$ through $F$ to represent $10$ through $15$ . Among the first $1000$ positive integers, there are $n$ whose hexadecimal representation contains only numeric digits. What is the sum of the digits of $n$ ?

A)
$17$
B)
$18$
C)
$19$
D)
$20$
E)
$21$

2015 AMC 10A Problem 18

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