A project network with the sequence of five activities is shown. The crashing costs of activities are

If the project is crashed by one week, the increase in project cost, in lakh INR, is

Match the following features with the corresponding symbols

A typical 24-hour activity of a mobile crusher plant is shown. The utilization, in %, of the plant, is_____. (round off up to 2 decimals)

A rectangular development heading of dimension 3 m × 2.8 m is to be blasted with holes of 2.4 m in length. If the pull factor is 0.95 and swell factor is 1.20, the volume of blasted rock per round, in m³, is_____. (round off up to 2 decimals)

Data from two production faces of an open pit iron ore mine are given.

Ores from two different faces are blended and supplied with Fe grade not less than 60 %. Based on the demand, the combined production is limited to a maximum of 2500 tonne/day. If the selling price of blended iron ores is INR 4500 /tonne, the optimal production from two faces in tonne/day, for maximizing the profit, respectively are

Four identical districts of a mine are ventilated with a quantity of 3500 m³/min at a fan drift pressure of 1.15 kPa. When one of the districts is sealed off, the change in resultant resistance is 0.072 Ns²/m⁻⁸. If the fan is stopped, keeping a district sealed, the quantity through the mine becomes 850 m³/min. The natural ventilation pressure in Pa, is

Matrix $A = \begin{bmatrix} 1 & 4 & 3 \\ 5 & 2 & 1 \\ 6 & 4 & 3 \end{bmatrix}$ and $B = A - A^T$, then $B$ is

Magnitude of error in the determination of the integral, $I$ using Simpson’s 1/3 rule, taking step length as 1.0 is

$I = \int_{1}^{3} (x^3 + 6) dx$

In a closed traverse, ABC, the bearings of two lines AB and BC are given.

The length, in m and bearing of line CA, in degree, respectively, are

Vectors $a = 2i + 3j - 4k$ and $b = 4i + 2j + 3k$ represent the two adjacent sides of a triangle. The magnitude of the area of the triangle and the unit vector perpendicular to both $a$ and $b$ respectively, are