List of top Questions asked in GATE TF

In a continuous scouring operation, a desized fabric (with 40% wet expression) is dipped into a saturator (alkali bath). After saturation the wet expression becomes 100%. The required alkali concentration (w/v) of liquor present in the fabric exiting the saturator is 6%. Considering no liquor interchange in the saturator, the alkali concentration (w/v) in the saturator (in integer) is ...................
In melt spinning of a monofilament, a polymer is extruded at a volumetric flow rate of \( 5 \times 10^{-5}\ \text{m}^3/\text{s} \) through a circular spinneret. The take-up velocity is \( 100\ \text{m/s} \) with a draw ratio of \( 50 \). The diameter (mm) of the spinneret orifice (rounded off to 2 decimal places) is .................
If \[ \frac{dy}{dx} = 8y^2x^3 \] and \(y(2)=1\), then \(\dfrac{1}{y(0)}\) (in integer) is ......................

The cut length of a staple polyester fibre is approximately equal to the effective length of a specific variety of long staple cotton fibre. When these two types of fibres are blended in nearly equal proportion, the typical comb sorter diagram of the blended fibre-tuft is .................

Two eigenvalues of the following matrix are 3 and 6. The third eigenvalue is \[ \begin{bmatrix} -2 & -4 & 2 \\ -2 & 1 & 2 \\ 4 & 2 & 5 \end{bmatrix} \]

In a bobbin leading roving frame, the correct relationship between spindle speed and bobbin speed is 

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. 
The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry? (The figure is representative)

The value of \( x \) for which the inverse of the following matrix does not exist is \[ \begin{bmatrix} 1 & 3 & 0 \\ 2 & x & 4 \\ -1 & 0 & 2 \end{bmatrix} \]

In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.) 

A square jammed plain cotton woven fabric is produced from 10 Ne yarn of circular cross-section. Assuming yarn density \(=0.91~\text{g/cm}^3\), find the number of threads per inch (rounded to the nearest integer).
In a guarded hot plate, the dimension of the square test plate is 15 cm $\times$ 15 cm. Keeping the temperatures of the test plate and the air at 35$^\circ$C and 20$^\circ$C, respectively, the power losses from the test plate with and without fabric specimen are 16 W and 40 W, respectively. The intrinsic transmittance [W/(m$^2$ K)] of the fabric (rounded off to 2 decimal places) is ...................
A 36 Ne ring spun yarn is produced from 1.2 Ne roving. The total draft and the break draft of the roving frame are 12 and 1.2, respectively. The diameters of back bottom roller, middle bottom roller and front bottom roller of the roving frame are 28 mm, 25 mm and 28 mm, respectively. If the middle bottom roller of the roving frame is eccentric, then the wavelength (m) of the periodic fault in the yarn, neglecting twist contraction, (rounded off to 2 decimal places) is ...................
A 30 tex cotton yarn is made into a lea of 120 yards for determining CSP. If the lea strength is 500 N, then the CSP of the yarn (rounded off to the nearest integer) is ...................
In a roving frame, the ratio of the diameter of the top (driver) cone-drum to the diameter of the bottom (driven) cone-drum is inversely proportional to bobbin diameter. At an instant,
Top cone-drum diameter = 212 mm
Bottom cone-drum diameter = 108 mm
Bobbin diameter = 54 mm
When the bobbin diameter becomes 100 mm, the ratio of the top cone-drum diameter to the bottom cone-drum diameter (up to 2 decimal places) is .................
In a ring frame, the speeds of traveller at 50 mm bobbin diameter (near the base of the cop) and at 25 mm bobbin diameter (near the tip of the cop) are 13500 rpm and 13400 rpm, respectively. The nominal twist (tpm) (rounded off to 2 decimal places) is .................
A circular knitting machine of 26 inch diameter and 20 gauge with 120 feeders is running at 30 rpm to produce a plain knitted fabric using 30 tex yarn. If the loop length is 3 mm, find the rate of production (kg/h), rounded off to 1 decimal place.
If the values of $x$ are 1, 2, and 3 and the corresponding values of $y$ are 9, 8, and 10 respectively, then the slope of the line of regression equation of $y$ on $x$ is (up to 1 decimal place) ......................
Three monodisperse Nylon 6 samples with molar masses 10000 g/mol, 30000 g/mol and 60000 g/mol are mixed in a proportion of 1:1:2 by number of chains. The polydispersity index of the resulting sample (rounded off to 2 decimal places) is .................
Amongst the Classimat faults A2, B1, D4, H2 and I1, the correct statement(s) is/are
A sample of cotton fabric is dyed with a vat dye at 60°C till equilibrium dye uptake is reached. Another sample of the same cotton fabric is dyed with the same dye at 90°C till equilibrium, keeping all other parameters same. Amongst the following, the correct statement(s) is/are:
In pigment printing of cotton fabric, the pigment (along with binder) can be fixed by using:
Drafting force in drawframe, when fibres are sliding, reduces with higher
The force exerted by the reed on the cloth-fell at the instant of beat-up (weaving resistance) depends on
With reference to KES-FB and FAST systems, the same low stress mechanical property is measured by
With reference to the work factor (WF) and work of rupture (WR) of two yarns with the same breaking load and the same breaking elongation, the correct statement(s) is/are