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[GMAT math practice question]
For natural numbers m and n, let k be the remainder when m is divided by n. In that case, we define f(m, n) as k/n.
What is the value of f(2^{1000}, 7)+ f(2^{1001}, 7)+ f(2^{1002}, 7)+...+ f(2^{2019}, 7)?
A. 1019/7
B. 1020/7
C. 240
D. 340
E. 441
For natural numbers m and n, let k be the remainder when m is divided by n. In that case, we define f(m, n) as k/n.
What is the value of f(2^{1000}, 7)+ f(2^{1001}, 7)+ f(2^{1002}, 7)+...+ f(2^{2019}, 7)?
A. 1019/7
B. 1020/7
C. 240
D. 340
E. 441
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