List of top Questions asked in TS PGECET- 2026

Spinning speeds in Man-made fibre of \(10,000\ \text{mpm}\) results in the formation of which Yarn?

Mercerisation of Cotton fabrics will result in

\(TiO_{2}\) is used as an agent in manufacturing synthetic fibre for

In which type of cotton production, fertilizers are not used?

The common type of Staple fibre produced during synthetic fibre manufacture is

Compared to Cotton, the special feature of Wool is

What method is commonly used for the estimation of the percentage of Spin finish?

Compared to Single yarn, in Double or folded yarns the Uniformity will

Habutai is a Silk fabric consists of \((\text{in } g/m^{2})\)

Which of the following are having potential as Composite material from New Natural fibres?

The percentage of Moisture Regain of Silk is

The following is considered as one of the fibre properties, prior selection to Spinning of Cotton

40's Cotton count refers to

Assertion (A): If \(X\sim N(\mu,\sigma^{2})\), then \[ P(X<\mu)=0.5. \] Reason (R): Normal distribution is symmetric about its mean.

In the binomial distribution \(B(n,p)\), the variance \((\sigma^{2})\) and the mean \((\mu)\) are related by

\[ \lim_{n\rightarrow\infty}\frac{5n^{2}+4}{7n^{2}+6n}= \]

Consider the differential equation \[ \frac{dy}{dx}=x^{2}-y,\qquad y(0)=1. \] Using the Simple Euler's Method with a step size of \(h=0.1\), the value of \(y(0.1)\) is

If \[ \vec{v}=(x+y+1)\hat{i}+\hat{j}+(-x-y)\hat{k}, \] then the value of \[ \vec{v}\cdot(\nabla\times\vec{v}) \] is

If \(y_{1}=x^{2}\) is a known solution of \[ x^{2}y^{\prime\prime}-3xy^{\prime}+4y=0, \] then the second independent solution \(y_{2}\) is

The solution of \[ \frac{dy}{dx}+y=f(x), \] where \[ f(x)= \begin{cases} x, & 0\le x 0, & x\ge1, \end{cases} \] with the conditions \[ y(0)=0,\qquad y(1)=e^{-1}, \] is

If \[ f(x,y,z,w)=x^{2}e^{2y+3z}\cos(4w), \] then \[ \frac{\partial f}{\partial z} \] at \((2,0,-2,1)\) is

Let the matrix \[ A=\begin{bmatrix} 3& 1 -1& 2 \end{bmatrix} \] and \[ I=\begin{bmatrix} 1& 0 0& 1 \end{bmatrix}, \] then \[ A^{2}-5A+7I= \]

The organisms involved in yoghurt production are:

The fat soluble pigment which is responsible for yellow colour of milk, cream, butter, ghee, etc., is:

Ordinary mercury-in-glass thermometer works on the principle of: