GATE MN Mine Planning PYQs & Answers

Questions 1–10 of 28. Imported answers require independent review unless marked reviewed.

As per the UNFC mineral resources classification system, the highest category of resource is indicated by

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111

122

333

334

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The borehole data for resource estimation for an iron ore deposit are shown. The average grade of the deposit, in %, is ____________. (rounded off to two decimal places)

Plan view: A1 = 0.02 km², A2 = 0.03 km², A3 = 0.04 km². Borehole sections: D1 has 6 m at 63% and 6 m at 66%; D2 has 6 m at 60% and 4 m at 64%; D3 has 8 m at 64% and 7 m at 62%. Index: D1 to D3: Exploratory Borehole ID; A1 to A3: Corresponding Polygonal Area.

Diagram for Mining Engineering question 46

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The spherical semivariogram model

is represented by the following expression, where h is the lag distance.

The parameters

and

are respectively known as

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nugget, range and sill.

sill, nugget and range.

sill, range and nugget.

nugget, sill and range.

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The percentage Fe and corresponding net value for an iron ore mine is given below:

Fe (%)	Net value (INR per tonne)
58	4000
62	4500

Assuming net value versus grade curve to be a straight line, and mining cost of waste is INR 1000 /m

, the correct representation of stripping ratio, SR (m

/tonne versus Fe (%) grade curve is

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For a circular path of radius 300 m, the super elevation is restricted to 0.1 m for a width of 1.6 m. The maximum speed, in m/s, of vehicle to avoid overturn is ____. (round off up to 2 decimals)

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Data from two production faces of an open pit iron ore mine are given.

Item description	Face 1	Face 2
Maximum production capacity (tonne/day)	1600	2000
Fe (%)	63	58
Production cost of ores (in INR/tonne)	1500	1200

Ores from two different faces are blended and supplied with Fe grade not less than 60 %. Based on the demand, the combined production is limited to a maximum of 2500 tonne/day. If the selling price of blended iron ores is INR 4500 /tonne, the optimal production from two faces in tonne/day, for maximizing the profit, respectively are

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1000.0 and 1500.0

1333.3 and 1166.7

1600.0 and 900.0

500.0 and 2000.0

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In an open pit mine, the mineral inventory, prices, costs and capacities are given.

Mineral inventory

Grade interval	Tonnage (in million tonne)
0 < Cu% ≤ 0.3	0
0.3 < Cu% ≤ 0.4	5
0.4 < Cu% ≤ 0.5	5
0.5 < Cu% ≤ 0.6	5
0.6 < Cu% ≤ 0.7	5
0.7 < Cu% ≤ 0.8	5
0.8 < Cu%	0

Concentrating cost : INR 3,200/tonne of ore milled Smelting & refinery cost : INR 10,000/tonne of copper metal Selling price : INR 6,50,000/tonne of copper metal Overall recovery : 100% Maximum production capacity : 5 million tonne/annum

The mine is operating at 5 million tonne in a year. Considering mine capacity being the only constraint, Lane’s algorithm (based on profit maximization) is used for determining mill cut-off grade. The total amount of copper produced in million tonne, in the life of the pit, is _____. (round off up to 2 decimals)

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In a quality control process of coal supplied to a thermal plant, the 3-sigma control limits for fixed carbon (FC) are defined by 40% ± 15%. The process is termed “out of control” if:

Rule 1: 4 out of 5 successive values of FC are situated at the same side of the mean and at a distance more than 1 standard deviation.

Rule 2: Any one value crosses any of the 3-sigma control limits.

For the following continuous data of FC (%): 49, 51, 56, 20, 46, 48, 47, 49, 45, 41, 42, 40, the process is

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out of control because of both rules 1 & 2.

out of control because of rule 1 only.

out of control because of rule 2 only.

not out of control.

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A mining company makes an initial investment of Rs 200 crore on a project.

The following data are available:

Production life : 3 years Year wise production after gestation period (Mtonne) : 1.0, 2.0, and 1.0 Stripping ratio : 1.5 m³/tonne Selling price of ore : Rs. 200 per tonne Ore mining cost : Rs. 500 per tonne Waste mining cost : Rs. 500 per m³ Discount rate : 10%

By ignoring any other cash-flows, if the NPV of the project becomes Rs. 5.367 crore, the gestation period of the project, in years is _____.

[rounded off to the nearest integer]

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A deposit has the grade attribute

with a density function

. For a cut-off grade

, the proportion of the ore in the deposit is given by

Your answerChoose one option.

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GATE MN Mine Planning PYQs

How to practice Mine Planning

Question 16

Question 46

Question 18

Question 25

Question 32

Question 36

Question 58

Question 36

Question 61

Question 15