List of top Questions asked in Andhra Pradesh Post Graduate Engineering Common Entrance Test

If \( f(x) = x^2 - 153 = 0 \), then the iterative formula for Newton-Raphson method is _____ .
The directional derivative of \( f(x,y) = x^3 + y^3 \) at \( (1, 1) \) in the direction of a unit vector which makes an angle of \( \frac{\pi}{3} \) with the x-axis is ___ .

The solution of the differential equation \( \frac{dx}{dt} = x^2 \) with \( x(0) = 1 \) will tend to infinity as ____ .

The general solution of \( z = px + qy - npq \) is ____ .
If \( f(x) \) is a differentiable function in \( x \), then it is _____ .

If \(f(z) = \frac{1}{2} \log_e(x^2 + y^2) + i \tan^{-1} \left( \frac{y}{x} \right)\) be an analytic function, then \( \alpha \) is ___ .

The rank of the matrix\(\begin{bmatrix} 1 & 1 & 1 \\[0.3em] a & a^2 & a^3 \end{bmatrix}\) is ____ .

The mean of the density function is \(f(x) = \lambda e^{-\lambda x}, x > 0\) is ____ .

The values of \( a \) and \( b \) for the function \( f(z) = (x^2 + a y^2 - 2xy) + i (b x^2 - y^2 + 2xy) \) to be analytic are ___ .

For the function \(f(x) = x^2 e^{-x},\) the maximum occurs when \( x \) is equal to ____ .

Which of the following is the artificial causes of waterlogging?
Which of the following sentences are correct as per the uses of flow-duration curves are concerned?
(i) determining dependable flow which information is required for planning of water resources and hydro power projects
(ii) designing a drainage system
(iii) flood control studies
For mixed traffic conditions, super elevation is designed for ___% of design speed.
When the pH of the chlorinated water is type 5.5, the predominant constituent in the free available chlorine is:
Which is the effective pH range for aluminum sulfate as coagulant in water treatment?
As per IS-875, where access is not provided except for maintenance, live load on roofs, while designing a truss, in respect of its plan area is adopted as
Which of the following processes/mechanism (most appropriately) are thought to occur in the filtration process used in the water treatment?
The most appropriate chemical required for the removal of hardness in water due to the presence of calcium sulphate or chloride is
The Stoke's equation giving the terminal settling velocity of a discrete spherical particle is applicable for particle size range of
In general, the minimum value of the ratio of BOD to COD for biodegradability of wastewater without acclimatization will be:
Pick up the incorrect crop and its harvesting time relation
Hydrograph is a plot of
The discharge from weirs without end contractions are measured by
A turbine develops 2512 kW at 240 rpm. The approximate torque in the shaft is
The optimum depth of kaw-watering for rice crop is