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ITMC 2019 Grade 6 National Preliminary set01 Question 28

ITMC · ITMC 2019 Grade 6 National Preliminary set01

Question 28

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

$\overline{AB},\overline{CD},\overline{EF},\overline{GH},\overline{IJ}$ are two-digit numbers; different letters denote different digits. Suppose $\overline{AB}-\overline{CD}+\overline{EF}-\overline{GH}+\overline{IJ}$ is odd. What is its greatest possible value?