List of top Questions asked in TS PGECET

A steel column has a length of 4 meters and a square cross-section with moment of inertia $1.6 \times 10^{-4} \text{ m}^4$. If the column is pinned at both ends and the modulus of elasticity of steel is 200 GPa, what is the critical buckling load? (take $\pi^2$ value as 10)
The real part of an analytic function \( f(z) = u + iv \), where \( v(x, y) = \left( \frac{e^{-y} - e^y}{2} \right) \sin x \), is:
If the probability density function of a continuous random variable \( X \) is \( f(x) \), \( -\infty<x<\infty \), and if the median of \( X \) is \( M \), then:
A card is drawn from a pack of cards successively 5 times by replacing the card drawn in the pack of cards. What is the mean of the number of red cards drawn?
When the IVP \( \frac{dy}{dx} = y + x,\; y(0) = 1 \) is solved by Rung–Kutta fourth order method to find \( y(0.2) \), the approximate value of \( y(0.2) \) by taking step size \( h = 0.2 \) is:
A man weighing \( W \) newtons entered a lift which moves with an acceleration of \( a \, \text{m/s}^2 \). When the lift is moving downward, the force exerted by the man on the floor of the lift is:
The magnitude of the resultant of two equal forces each of magnitude \( F \) is \( \sqrt{2}F \). Then the angle between their line of action is:
The equation of motion of a particle starting from rest along a straight line is \( x = t^3 - 3t^2 + 5 \). The ratio of the accelerations after 5 s and 3 s will be:
If \( E \) is the region bounded by a closed curve \( C \) in the \( xy \)-plane, then \( \iint_E dx\,dy = \)
The maximum value of \( f(x, y) = x^2 y^3 (1 - x - y) \) is:
The substitution which reduces the differential equation \( t^2 \frac{d^2y}{dt^2} + 5t \frac{dy}{dt} + 7y = 0 \) to \( \frac{d^2y}{dx^2} + 4 \frac{dy}{dx} + 7y = 0 \) is:
If \( \mathcal{L}(f(t)) = F(s) \), then \( \mathcal{L}((\cosh 2t)f(t)) \) is:
CDT test gives information about
The variety produced only in polyester staple production is
Care label "triangle" symbol indicates
Feed mechanism depends on the following part of sewing machine
The process to remove unwanted creases in garment after laundry is
The common sewing thread is a
Creating customized garment patterns by using muslin on dress form is called
Mass produced garments use the following measurements
The economical way of planning the fabric layout is possible in garment industry with the help of
Arrow mark on the pattern indicates
The process of packing similar patterns after cutting in apparel industry is
In fabric folding machine, the type of motion of the folder is
Compared to grey fabric, heat set polyester fabric show