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Beyond Horizon Set 3 Paper 1 · Q2

Paper 1Number & counting

Let d1,d2,…,dkd_1,d_2,\ldots,d_k be all the factors of a positive integer nn including 11 and nn. Suppose d1+d2+⋯+dk=72d_1+d_2+\cdots+d_k=72. Find the value of

1d1+1d2+⋯+1dk\frac{1}{d_1}+\frac{1}{d_2}+\cdots+\frac{1}{d_k}
Ak272\frac{k^2}{72}
B72k\frac{72}{k}
C72n\frac{72}{n}
D72k2\frac{72}{k^2}
E72n2\frac{72}{n^2}
Fcannot be found from the given information

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