GATE MN exam:gate PYQs & Answers — Page 62

Questions 611–620 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 62 of 65

The y intercept of the tangent of curve

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A rectangle has two of its corners on the x axis and the other two on the parabola

. The largest area of the rectangle is

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The area of cross-section (x) of four rock samples and the respective applied loads (y) at failure under uniaxial loading are given below:

| x (cm²) | 7 | 10 | 13 | 16 | | y (kN) | 35 | 45 | 60 | 80 |

If the best fit line

represents the above data, the coefficient of determination (

) of the best fit line is

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The following readings refer to a reciprocal leveling at staff stations A and B respectively:

| Instrument station | Staff reading A (m) | Staff reading B (m) | Remarks | | P | 1.725 | 2.835 | RL of A = 125.0 m | | Q | 0.835 | 1.545 | |

The reduced level (RL) of staff station B in m is

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The areas within the contour lines of a proposed site for an overburden dump are as follows:

| Contour RL (m) | Area (m²) | | 195 | 3054 | | 180 | 3025 | | 165 | 2095 | | 150 | 2008 | | 135 | 2000 | | 120 | 1992 |

The total volume of overburden in cubic meter that could be dumped within the 120 m and 195 m contour levels is

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Total ore mined from a sub-level open stope of a copper deposit is measured to be 10000 tonne. The ore recovery and ore dilution during stoping are 90% and 20% respectively. The in situ Cu grade of the ore in the stope is 0.65%. The selling price of copper is Rs. 400/kg of metal. Ignoring any other metal losses in the downstream process of the ore, the revenue generated by selling the ore in Crores of rupees is

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The block grade model of an ore deposit is shown in the figure below.

Diagram for Mining Engineering question 32

The relationship between block value per tonne (

) in rupees and the block grade in percentage (

) is given below:

, for

, otherwise

If each square block contains 1000 tonne of material and the overall pit slope angle is

, the total value of the pit determined by the floating cone algorithm in Lakhs of rupees is

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A mine is being developed by bord and pillar method with a gallery size of 4.8 m × 2.4 m. The mine operates in 3 shifts per day and 6 faces are blasted per shift. The average pull per round of blast is 1.2 m and the bulk density of coal is 1.4 t/m³. If the OMS is 2.5, then the average manpower deployed in the development section per shift is

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Consider the following linear programming problem:

Maximize

Subject to

The maximum value of the objective function is

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A mining company having three mines A, B and C supplies coal to three power plants P, Q and R located close to the mines. The daily production capacities of the three mines in tonnes are 700, 1200, and 1100 respectively. The daily requirements at the power plants in tonnes are 1000, 1000, and 1000 respectively. The transportation costs in rupees per tonne is given in the matrix below:

| Mine / Power plant | P | Q | R | | A | 15 | 20 | 60 | | B | 5 | 40 | 20 | | C | 30 | 10 | 50 |

The total cost of coal transportation in rupees from the three mines to the power plants using the least-cost method is

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GATE MN exam:gate PYQs

Question 26

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Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35