Mining Engineering Gate 2025 Questions with Answer

Ques 1 GATE 2025

An HMX explosive having Velocity of Detonation (VOD) of 10500 m/s is tested by D'Autriche method with a detonating fuse of VOD 7000 m/s, as shown in the figure. The impression mark on lead plate will be obtained at a distance (L), in m, from the midpoint of the fuse, is ______ (rounded off to two decimal places)

Ques 2 GATE 2025

In a surface mine, blasting is carried out using electronic detonator and cartridge emulsion explosive with following details:
Burden =3.5m
Spacing =4.5m
Bench height =10.0 m
Subgrade drilling =1.0 m
Stemming =4.0m
Linear charge concentration =16 kg/m
Cost of one detonator = Rs. 800
Cost of explosive = Rs. 30/kg
The cost of blasting material per cubic meter of blasted rock, in Rs., is ______ (rounded off to 2 decimal places)

Ques 3 GATE 2025

The value of lim_x→0(tan 11x)/(tan 5x) is, ______ (rounded off to 1 decimal place)

Ques 4 GATE 2025

The characteristic polynomial of a third order matrix, A, is given by f(x)=x³-6 x²+11 x-6.
If one of the eigen values of A is 1, then sum of the other two eigen values is ______ (in integer)

Ques 5 GATE 2025

The directional derivative of a function f(x,y,z)=4x²+8y²+9z² at the point P (3, 4, 5) in the direction vector &vec;b=2î-3ĵ+4k̂ is ______ (rounded off to 1 decimal place)

Ques 6 GATE 2025

The area bounded by the curves, y=√x, and y=8x² is ______ (rounded off to 3 decimal places)

Ques 7 GATE 2025

If y=x^x then dy/dx is

Ques 8 GATE 2025

The rank of 3×3 matrix A is 2. The determinant of the matrix is

Ques 9 GATE 2025

SO₂ is emitted at a rate of 20 kg/s from a 10 km×10 km airshed in an industrial area. Wind blows at a speed of 4 m/s from one direction in that area. Radiation inversion restricts the mixing height to 1200 m. Neglect SO₂ concentration in the incoming air. Assuming emitted SO₂ to be conservative, the steady state SO₂ concentration in the airshed, in μg/m³, is ______ (rounded off to 2 decimal places)

Ques 10 GATE 2025

A wastewater sample has an ultimate BOD of 300 mg/L. BOD reaction rate constant is 0.22 per day at 20°C. If the temperature coefficient is 1.05, the 5-day BOD at 25°C, in mg/L, is ______ (rounded off to 2 decimal places)

Ques 11 GATE 2025

Even though I had planned to go skiing with my friends, I had to ______ at the last moment because of an injury.
Select the most appropriate option to complete the above sentence

Ques 12 GATE 2025

The President, along with the Council of Ministers, ______ to visit India next week.
Select the most appropriate option to complete the above sentence.

Ques 13 GATE 2025

An electricity utility company charges ¥7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?