GATE MN 2026 Paper 1 — page 16

Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.

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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A mine workshop needs to assign 4 jobs to 4 service engineers. The cost for performing a job by an individual service engineer is given. A typical job can be assigned to only one service engineer. If the service engineer S1 cannot perform the job J3, and S3 cannot perform the job J4, the optimal cost for completion of jobs is ____________. (answer in integer)

Service Engineer	J1	J2	J3	J4
S1	50	50	---	20
S2	70	40	20	70
S3	90	30	50	---
S4	70	20	60	30

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Using linear regression (least squares), the best-fit line for the given dataset is y = 2.2x + 2.3. Given the residual sum of squares is 25.8, the coefficient of determination (

), is _____________. (rounded off to two decimal places)

x	2	3	4	5
y	8	9	7	16

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2026 · Paper 1

Question 46

Question 47

Question 48