Mining Engineering
2022 · Paper 1
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Complete GATE MN 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.
Question 40
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In a uniaxial compressive strength test, a rock sample of diameter 50 mm fails at an angle of 60° as shown in the figure. If the peak load at failure is 120 kN, the normal and shear stresses on failure plane respectively, in MPa are ______ and _____.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 41
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A coal mining company examines the option of buying two types of dumpers with the following details.
Parameter | Type-1 | Type-2 | Constraints |
|---|---|---|---|
Capital cost per dumper (in ₹ crore) | 3.0 | 4.0 | Maximum capital available for purchasing is ₹120 crore |
Capacity in tonne | 40 | 50 | Minimum daily tonne to be hauled is 31,000 |
Daily trips for each dumper | 20 | 20 | |
Operating cost (in ₹) per tonne | 300.0 | 200.0 | |
In order to minimize the operating cost, the optimum fleet of dumpers of Type-1 and Type-2, respectively are
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 42
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Let
be a continuous and differentiable function on [3, 18]. If
and
, then the largest possible value of
, is ________. (in integer)Log in to check the answer
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