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GATE 2026 MN – Question 59

Mining Methods and Machinery · Mining Methods · 2 marks · Numerical answer

The cut-and-fill stope dimensions are shown. Pillars are4×4 m, separated by clear13 m intervals along the stope. Ore density is2.5 tonne/m³ and slices span the full width. Find first-slice recovered ore in thousands of tonnes, to one decimal.

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Correct answer: 15.4 to 15.7

Explanation

The first slice has length255 m,width6 m and height4.8 m. Pillar pitch is13+4=17 m, giving15 pillars over255 m. Net plan area is255×6−15×4×4=1290 m². Slice volume is1290×4.8=6192 m³, and recovered mass=6192×2.5=15480 tonnes=15.48×10³ tonnes. Rounded result is15.5.

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