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GATE 2026 MN – Question 46

Mineral Economics, Mine Planning, Systems Engineering · Mine Planning · 2 marks · Numerical answer

The exploratory boreholes and their influence polygons are shown. With equal density assumed, estimate average deposit grade in percent to two decimals.

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Correct answer: 62.00 to 64.00

Explanation

Weight each interval grade by interval thickness and polygon area. D1 contributes area0.02 times(6×63+6×66); D2 contributes0.03 times(6×60+4×64); D3 contributes0.04 times(8×64+7×62). Divide their sum by0.02×12+0.03×10+0.04×15. The result is62.98%. Equal density cancels, while unequal thicknesses must remain in the weights.

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