Textile Engineering Gate 2025 Questions with Answer
Ques 1 GATE 2025
Consider the partial differential equation &partial;2u/&partial;x2 = (1/k)&partial;u/&partial;t + sin x, k>0.
Amongst the following, the correct statement(s) for the above equation is/are
Ques 2 GATE 2025
The diameter of a fibre is assumed to be a continuous random variable (X) with probability density function f(x)=6x(1-x), 0
Ques 3 GATE 2025
A fibre of length l is to be divided into two pieces. Multiplying the square of the length of one piece with the cube of the length of other piece yields the greatest possible product value. Amongst the following, the correct combination of the lengths is
Ques 4 GATE 2025
Let X be a Poisson distributed random variable with parameter λ(>0) such that it satisfies the equation P(X=1)=3P(X=3)-P(X=2).
Then, the value of λ (answer in integer) is
Ques 5 GATE 2025
If u(x,y,z)=x2y+y2z+z2x, the value of
&partial;u/&partial;x+&partial;u/&partial;y+&partial;u/&partial;z
at the point (1,1,1) is (answer in integer)
Ques 6 GATE 2025
The solution of the following differential equation represents
dy/dx = (y+1)/x
Ques 7 GATE 2025
If 
be the eigenvector of the matrix
, the corresponding eigenvalue is
Ques 8 GATE 2025
The value of a for which the Euler method with step size h=0.1 provides y(1.1)=1.2 for the following initial value problem is
dy/dx = -2xyα, y(1)=2
Ques 9 GATE 2025
A woven fabric has weft yarn of 24 tex and pick density of 25 per cm. It is desired to replace only the weft with a 6 tex yarn of same packing density. The pick density per cm required to keep the fabric cover same (answer in integer) is
Ques 10 GATE 2025
Group I lists the components of the weaving machine and Group II lists their functions. Match the component with its function.
| Group I | Group II |
| P Conjugate/matched cams | 1. Driving the cloth roller with slip drive |
| Q Worm and worm wheel | 2. Continuous positive take up motion |
| R Friction clutch device | 3. Motion of sley in rapier loom |
| S Lease rod | 4. Separation of the warp sheet forming the shed |
Ques 11 GATE 2025
A series of plain knitted fabrics has varying stitch length (l). The fabrics are composed of cotton yarns having same packing density but differing in linear density (T). The ratio between tightness factor and areal density of the fabrics is proportional to
Ques 12 GATE 2025
Amongst the following, producing a dense fabric in a weaving machine require(s)
Ques 13 GATE 2025
A needlepunching machine has two needle boards which operate sequentially at the same frequency to produce nonwoven with 200 punches/cm2. 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 (answer in integer) is
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