The grade values of alumina at three sample locations (A, B and C) in a bauxite deposit are as shown. Using the ‘inverse distance’ method, the computed grade in % alumina at location ‘Z’ is ______.

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

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

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

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

Total ore mined from a sub-level open store of a copper deposit is measured to be 100000 tonne. The ore recovery and ore dilution during stoping are 90% and 20% respectively. The in situ Cu grade of the ore in the store 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 ______.

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:

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

A sandstone sample having 15% moisture content and volume of 75 cm$^3$ weighs 180 g. If the grain density is 2.6 g/cm$^3$, porosity of the sample in % is ______.

The discharge rate of a water pump is 0.25 m$^3$/s. The diameter of the discharge and suction nozzles are 300 and 350 mm respectively. The measured pressure at the discharge end located 0.25 m above the centerline of the impeller is 150 kN/m$^2$ and the pressure at the suction gage located at the centre line of the impeller is 20 kN/m$^2$. Specific weight of water is 9810 N/m$^3$. The total dynamic head for the above installation in m is ______.

In an auxiliary ventilation system, a fan is installed inside a 100 m long and 600 mm diameter duct to ventilate a blind heading face. The frictional coefficient of the duct is 0.0066 $\text{Ns}^2\text{m}^{-4}$ and the static pressure characteristic of the fan is represented by:

where, $P_s$ is in Pa and Q is in $\text{m}^3/\text{s}$. The quantity of air delivered by the fan in $\text{m}^3/\text{s}$ is ______.

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

Out of the support categories given for an underground coal mine, identify the ‘active support’.