List of top Questions asked in TS PGECET- 2026

An airplane has its Neutral Point \(x_{NP}\) located at \(0.35c\) (35% of the Mean Aerodynamic Chord). The Current Center of Gravity (CG) \(x_{CG}\) is \(0.20c\) (20% of the Mean Aerodynamic Chord). The pilot wants to move the CG to a new position such that the Static Margin is reduced by exactly \(50\%\). Calculate the new location of CG?

Stick-fixed condition is that

An airplane with symmetric airfoil requires a lift coefficient \(0.52\). If the lift curve slope is \(0.1\) per degree and the angle of zero lift is \(0\), calculate the required angle of attack (in radians).

Corner point in the \(V\)-\(n\) diagram is

Crosswind primarily affects

An aircraft has a minimum sink rate of \(1.5\ \text{m/s}\). If it starts gliding from an altitude of \(1800\) metres, what is its maximum endurance (loiter time) in minutes?

In an aircraft, what is the condition for the absolute ceiling?

For a jet airplane, the maximum rate of climb occurs at the speed where

How does an increase in density altitude (lower air density) affect the take-off ground roll distance (\(S_g\))?

An aircraft has the drag polar \[ C_D=0.020+0.040C_L^2. \] What is the total drag coefficient when the aspect ratio is \(4\)?

The "elevons" are primary control surfaces that combine the functions of the following two components?

If a pilot fails to update the altimeter setting when flying from a high-pressure area to a low-pressure area, the aircraft altitude will be

Which of the following best defines Density Altitude?

Equivalent Air Speed (EAS) is

The iterative formula for finding \(2^{\frac{1}{5}}\) using Newton-Raphson method is

A multistep method for solving a differential equation numerically among the following is

The Laplace transform of \[ \int_{0}^{t} p\sin(t-p)\,dp \] is

The complete solution of \[ y^3\frac{\partial u}{\partial x} + x^2\frac{\partial u}{\partial y} = 0 \] is \(u(x,y)=\)

The solution of \[ \frac{dy}{dx} + \left[2(x-1)\sin x+x(x-2)\cos x\right]y = \frac{e^{2x\sin x}}{e^{x^2\sin x}}, \] at \(x=2\) if \(y(\pi)=0\) is

If \[ I=\int_C x^2y\,dx-xy^2\,dy, \] where \(C\) is the circle \[ x^2+y^2=16, \] then \(2I=\)

Let \[ f(x)=x^3-\frac32x^2, \] which of the following is not correct?

Consider the system of equations \[ x+y+z=4\mu,\qquad x+2y+2z=10\mu,\qquad x+3y+4\lambda z=\mu^2+15, \] where \(\lambda\) and \(\mu\) are real numbers. Which of the following is correct?

Evaluate \[ \lim_{x\to0}\frac{e^{\tan x}-e^{\sin x}}{(1-\cos x)\tan x} \]

If \(P\) is an orthogonal matrix of order \(3\times3\), \(A=\begin{bmatrix}1& 2& 2\\2& 1& 2\\2& 2& 1\end{bmatrix}\) and the eigenvalues of \(P^{T}AP\) are \(\alpha,\beta,\gamma\), then \(\alpha^2+\beta^2+\gamma^2=\)

Which of the following is a primary advantage of Monte Carlo simulation?