a = 4/39. What is the value of 10^6a - a?

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Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Thu Jul 16, 2020 11:29 pm

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[GMAT math practice question]

a = 4/39. What is the value of 10^6a - a?

A. 10,2500
B. 102,510
C. 102,555
D. 102,564
E. 102,573

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Source: Beat The GMAT — Problem Solving | Thu Jul 16, 2020 11:29 pm

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

Re: a = 4/39. What is the value of 10^6a - a?

by Max@Math Revolution » Sun Jul 19, 2020 6:13 pm

=>

10^6a - a = a(10^6 - 1) = 4/39 · 999,999 = 4/13 · 333,333
= 4 · 25641 = 102,564

Therefore, D is the correct answer.
Answer: D

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