List of top Questions asked in GATE MN

A safety device has two independent critical components $X_1$ and $X_2$. Failure of any one or both causes an accident. Failure probabilities: $P(X_1)=0.2$, $P(X_2)=0.1$. Find the probability of an accident (rounded to two decimals).
A levelling reading is taken as 2.25 m. The line of sight has a deflection of 20 cm relative to the vertical position of the staff. Find the correct reading (rounded to two decimals).
Water flows through a vertical sand column of cross‐sectional area 4000 mm$^2$ and length 300 mm. For a water head of 600 mm, the seepage quantity is 100 mm$^3$/min. Find the hydraulic conductivity of the sand column (mm/min), rounded to three decimal places.
The modified Lauffer diagram relates roof span, RMR and stand-up time. For a roof span of 4 m, if the RMR of the rock mass changes from 40 to 60, the stand-up time increases by a factor of ____________ (rounded off to two decimal places).
In a friction winder, the skip accelerates to a steady speed in 15 s. The torque vs. time diagram is shown. Find the deceleration time (in seconds, rounded to one decimal place).
AQI sub-index values at a station are: PM$_{2.5}$ = 180, NO$_2$ = 96, O$_3$ = 84. Find the AQI for the station (integer).
Match the drilling pattern with mining operation
The bottom section of a stoping block has dimensions 200 m $\times$ 40 m. If the modified RMR of the rock mass is 50, the appropriate method of mining on the basis of Laubscher’s chart in the figure is:
Match the machine with its component.
Which one of the following is NOT a notifiable disease as per Indian mining legislation?
If the ambient lapse rate is higher than the dry adiabatic lapse rate, the atmosphere is
Identify the WRONG statement: The application of controlled air recirculation in an underground work place can
The correct order of pavement layers for a haul road from top to bottom is
A mining company produces iron ore and sells to another company. Royalty to be paid is on the basis of
A deposit has the grade attribute $X \in [0,30]$ with a density function $f(x)$. For a cut-off grade $x_c$, the proportion of the ore in the deposit is given by
The drilling technique applicable for mineral exploration is
Match the rock with its metamorphosed form
Identify the WRONG statement: Break-even stripping ratio
A square pattern of blasting is shown in the figure. For the case of simultaneous blast, identify the zone of no fragmentation.
In the truss shown in the figure, the force in the member BD, in kN, is __________________ .
The correct vertical stress profile in the case of tributary area method for pillar design is
The value of $\displaystyle \lim_{x \to 0}\frac{(1-x)^n - 1}{x}$ is
A velocity field in Cartesian coordinate system is expressed as
\[ \mathbf{v} = x\,\hat{i} + y\,\hat{j} + p(z)\,\hat{k}, \quad \text{where } p(0)=0. \] If div $\mathbf{v} = 0$, $p(z)$ is
The constant term of the Fourier coefficients of the periodic function
\[ f(x)= \begin{cases} -k, & -\pi<x<0 \\ k, & 0<x<\pi \end{cases} \quad\text{and}\quad f(x+2\pi)=f(x),k=\text{constant} \] is
Two vectors $x$ and $y$ are shown in the figure. The projection vector of $x$ on $y$ is