List of top Questions asked in TS PGECET- 2026

Consider Shirting fabrics made from Varalakshmi Cotton and 14 tex Polyester Texturised yarns, then the bending rigidity of Polyester fabric when compared to Cotton is

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

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

In fibre length analysis, Dispersion or Scatter is useful to determine

Match the following:

In a Blowroom, a study was made to compare the fibre fracture using 2 Bladed and Kirschner beater. When the same mixing was processed using two Blowroom lines, the best statistical measure to choose is

Mercerisation of Cotton fabrics will result in

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

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

Compared to Cotton, the special feature of Wool is

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

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

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

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

The percentage of Moisture Regain of Silk is

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

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

40's Cotton count refers to

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

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

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

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