Let $S$ be the set of all positive integers having at most $4$ digits and such that each of the digits is $0$ or

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by Vincen » Thu Nov 26, 2020 11:23 am

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Let $S$ be the set of all positive integers having at most $4$ digits and such that each of the digits is $0$ or $1.$ What is the greatest prime factor of the sum of all the numbers in $S?$

A. 11
B. 19
C. 37
D. 59
E. 101

Answer: E

Source: Official Guide

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Source: Beat The GMAT — Problem Solving | Thu Nov 26, 2020 11:23 am

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