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ITMC 2018 Grade 7 National Preliminary set01 Question 27

ITMC · ITMC 2018 Grade 7 National Preliminary set01

Question 27

If the calculated answer is not an integer, give the nearest integer. If the calculated answer has more than five digits, give its last five digits.

Let $d_1,d_2,\ldots,d_n$ be an increasing sequence of distinct integers, each of which is a factor of 2500. Determine $\dfrac{2500}{d_1}+\dfrac{2500}{d_2}+\cdots+\dfrac{2500}{d_n}$.