List of practice Questions

An organic compound is found to contain $ \mathrm{C} = 54.5% $, $ \mathrm{O} = 36.4% $, and $ \mathrm{H} = 9.1% $ by weight. Its empirical formula is:

A steel workpiece is to be milled. Metal removal rate is 30 cm³/min. Depth of cut is 5 mm and width of cut is 100 mm. The rate of feed in mm/min is}

The system of equations $ AX = B $, has a unique solution if ____ .

The Particular integral of $(D^3 - 6D^2 + 11D - 6)y = e^{-2x}$ is:

If $ A $ and $ B $ are two events such that $P(A \cap B) = \frac{1}{3}$, $P(A \cup B) = \frac{5}{6}$, and $P(B) = \frac{1}{2}$, then the events are:

Solution of the differential equation $(D^2 + 9)y = \sin 2x$ is:

A fair coin is tossed 4 times. The probability that at least one head occurs is

$\lim_{x \to \infty} \frac{\sin x}{x} =$

The line integral of the vector field $ \vec{F} = (zx, xy, yz) $ along the boundary of the triangle with vertices (1,0,0), (0,1,0), (0,0,1) anticlockwise, when viewed from the point (2,2,2) is

The solution of $ y'' - y' - 2y = 0 $ is

If $\phi$ is a differentiable scalar function, then div grad $\phi$ is

In a CNC program block, N130 G02 X65.0 Y60.0 R40.0 F250, G02 refers to

In Computer Aided Quality Control (CAQC), the coordinate measuring machine

What is the compression ratio of the Otto cycle for a petrol engine with a cylinder bore of 50 mm, a stroke of 75 mm, and clearance volume of 21.3 cm$^3$?

The Non-Destructive Inspection (NDI) technique employed during inspection for castings of tubes and pipes to check the overall strength of a casting in resistance to bursting under hydraulic pressure is:

Which one of the following is the excess of variable time over the activity time when all jobs start as early as possible?

The eigen vectors of the matrix $\begin{bmatrix} 1 & 2 \\ 0 & 4 \end{bmatrix}$ are in the form $\begin{bmatrix} 1 \\ a \end{bmatrix}$ and $\begin{bmatrix} 1 \\ b \end{bmatrix}$, then $ a + b =$

Which of the following cannot be used for angular measurements?

A feasible solution to a linear programming problem

The solution to a transportation problem with $ m $-rows (supplies) and $ n $-columns (destinations) is feasible if number of positive allocations are

Fixed investments for manufacturing a product in a particular year is Rs. 80,000. The estimated sales for this period is 2,00,000. The variable cost per unit for this product is Rs. 4. If each unit sold is at Rs. 20, then the break-even point would be:

The quantity versus costs plot is shown in the figure below. The costs marked as A, B, and C, respectively, are

A bill of materials is:

Consider the network diagram shown in Figure. The time estimates in days along the arrows represents the activities. The project completion time in days based on critical path is

A grinding wheel is specified by ``C24K7V'' for finish grinding of a tool. The first letter ``C'' is represented by