List of top Questions asked in GATE TF

If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH?
Wider setting between cylinder and flat results in higher:
Carbonization is a pretreatment process for:
High drape coefficient of fabric indicates:
The fibre which does NOT contain 1,4-glycosidic bonds is
If \( P e^x = Q e^{-x} \) for all real values of \( x \), which one of the following statements is true?

Bird : Nest :: Bee : __________
Select the correct option to complete the analogy.

If \[ \begin{bmatrix} 2 \\ -1 \\ 1 \end{bmatrix} \quad \text{is the eigenvector of the matrix} \quad A = \begin{bmatrix} 8 & 11 & 3 \\ 4 & -1 & 3 \\ -4 & 10 & 6 \end{bmatrix}, \quad \text{then the corresponding eigenvalue is:} \]
The solution of the following differential equation represents \[ \frac{dy}{dx} = \frac{y + 1}{x} \]
For crease resist finishing of cotton, 70 gpl aqueous solution of DMDHEU (molecular weight - 178) is applied by padding. If the DMDHEU is available as 50% (w/v) aqueous solution, then the required amount of DMDHEU solution (ml) for preparation of 1000 ml padding liquor is:
The breaking strain of a yarn is 1.5. If the stress (\( \sigma \)) and the strain (\( \epsilon \)) of the yarn are related as, \( \sigma = 1.5 \epsilon^2 \), then the work factor of the yarn (rounded off to 2 decimal places) is:
In a projectile weaving machine, the projectile travels through the shed at an average speed of 24 m/s taking \( \frac{2}{3} \) of the loom cycle. If the efficiency of the weaving machine is 90%, the weft insertion rate (m/min) is:
A needlepunching machine has two needle boards which operate sequentially at the same frequency to produce nonwoven with 200 punches/cm\(^2\). Each needle board has 40000 needles per meter width. If the delivery speed of the machine is 80 m/min, then the frequency (strokes/min) of each needle board is:
A spun yarn made of circular polyester fibres of 10 µm diameter is cut normal to the yarn axis. If the helix angle of a fibre is \( 40^\circ \), then the area (µm\(^2\)) of that fibre projected on the cut-section of the yarn (rounded off to 1 decimal place) is:
A chute feed system feeds a fibre batt of linear density 300 g/m to a card. The waste extracted by the card is 5% and the total mechanical draft is 100. The linear density (ktex) of card sliver (correct up to 2 decimal places) is:
A polymer melt being extruded through a spinneret hole of circular cross-section exhibits a die-swell ratio of 2.2. The extrusion velocity and volumetric flow rate during this extrusion process are 20 m/min and \(2.6 \times 10^{-8}\) m\(^3\)/s, respectively. The maximum diameter (mm) of the extruded melt after exit from the spinneret hole (rounded off to 2 decimal places) is:
A circular hollow polyester fibre with a tenacity of 0.02 N/tex breaks at 0.2 N. If the density of polyester is 1.38 g/cm\(^3\) and the inner diameter of the fibre is 40 µm, the outer diameter (µm) of the fibre (rounded off to 1 decimal place) is:
Let \( X \) be a Poisson distributed random variable with parameter \( \lambda (> 0) \) such that it satisfies the equation \[ P(X = 1) = 3P(X = 3) - P(X = 2) {. Then, the value of } \lambda { is:} \]
If \( u(x, y, z) = x^2y + y^2z + z^2x \), the value of \[ \frac{\partial u}{\partial x} + \frac{\partial u}{\partial y} + \frac{\partial u}{\partial z} { at the point } (1,1,1) { is:} \]
A cotton fabric is printed using resist style with a reactive dye for ground colour and a chemical resist agent. Amongst the following, the correct statement(s) is/are:
Consider a cationic and an anionic softener both having linear alkyl chains. Upon application on cotton fabric, the orientation of the softener molecules on fabric can be described by the following statement(s):
Amongst the following, the correct reason(s) for high pilling tendency in a woven fabric is/are:
Amongst the following, the parameter(s) relevant to fibre fineness measurement using vibration method, is/are:
Amongst the following, the instrument(s) used for measurement of neps in cotton fibre tuft is/are:
Amongst the following, producing a dense fabric in a weaving machine require(s):