Textile Engineering Gate 2022 Questions with Answer
Ques 14 GATE 2022
Consider the following statements with respect to a cotton fabric which has been fully desized and bleached but not scoured:
P. It has residual seed coat fragments
Q. It has poor water absorbency
R. It has high whiteness index
S. It has high crease recovery
The combination of TRUE statements is
Ques 15 GATE 2022
In a dye identification test, a dyed fabric is immersed in an aqueous alkaline solution of a reducing agent. The colour of the dyed fabric changes and some dye bleeds out in the solution. The correct combination of the fabric and dye is
Ques 16 GATE 2022
A cotton fabric is dyed at 5% shade (owf) using a monofunctional reactive dye. The molecular weight of the dye and cellobiose unit is 400 and 342, respectively. If all the hydroxyl groups in cellulose are accessible for reaction, the percentage of unreacted hydroxyl groups of cellulose remaining after dyeing (rounded off to 2 decimal places) is
Ques 17 GATE 2022
A polyester fabric of 150 cm width and areal density of 300 g/m2 is printed at a speed of 60 m/min. The solid content of the print paste is 50%. After printing and drying, the areal density of the printed fabric becomes 400 g/m2. The consumption (kg/h) of the print paste (in integer) is
Ques 18 GATE 2022
The determinant of a 3x3 matrix A is 30. If 2 and 3 are two Eigenvalues of A, then the third Eigenvalue of A (in integer) is
Ques 19 GATE 2022
A fair coin is tossed five times. The probability of obtaining at most two "HEAD" (correct up to 1 decimal place) is
Ques 20 GATE 2022
If the probability density function of a continuous random variable X is given by
Ques 21 GATE 2022
Let f:R2→R (R is the set of real numbers) be defined by
Ques 22 GATE 2022
limx → 0 (ex - 1)/x2 is equal to
Ques 23 GATE 2022
An integrating factor of the differential equation:
x dy + (1 - y) dx = 0
is
Ques 24 GATE 2022
Assuming the step size h = 1, the numeric value (rounded off to 2 decimal places) of the definite integral
Ques 25 GATE 2022
Let y' and y'' denote the first and second order derivatives of y with respect to x, respectively. Let y(x) be a solution of the initial value problem:
y'' - 3y' + 2y = 0, y(0) = 1, y'(0) = 3.
Then y''(0) (in integer) is
Ques 26 GATE 2022
In a projectile loom, the energy stored in a torsion rod just before picking is proportional to rn. If r is the radius of torsion rod, then the value of n (in integer) is
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