Textile Engineering Gate 2023 Questions with Answer

Ques 14 GATE 2023

Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.

Ques 15 GATE 2023

The value of x for which the inverse of the following matrix does not exist is _______.

Ques 16 GATE 2023

The value of y for which the following limit exists is _______.

Ques 17 GATE 2023

The probability of the standard normal variable taking values between 0 and 1 is 0.3413, between 0 and 2 is 0.4772, and between 0 and 3 is 0.4987. The average of marks in an examination is 68 and the standard deviation is 10. The percentage of examinees getting less than 48 marks is _______.

Ques 18 GATE 2023

The Newton-Raphson method is being used for two iterations to find an approximate solution of the equation e^x - 1 = 0 with an initial guess of 1. The difference between the actual and approximate solutions (rounded off to 2 decimal places) is _______.

Ques 19 GATE 2023

The area under the curve y = x² + 2x between x = 0 and x = 4 using the trapezoidal rule with a step size of one, (in integer) is _______.

Ques 20 GATE 2023

Two eigenvalues of the following matrix are 3 and 6. The third eigenvalue is _______.

Ques 21 GATE 2023

Two vertical poles of height 6 m and 18 m are 10 m apart on a flat ground. A string needs to be connected from the top of one pole to a peg on the ground and then on to the top of the other pole. The minimum length (m) of the string is _______.

Ques 22 GATE 2023

If dy/dx = 8y²x³ and y(2) = 1, then 1/y(0) (in integer) is _______.

Ques 23 GATE 2023

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).

Ques 24 GATE 2023

A plain woven fabric with 20 ends per cm and 30 picks per cm is prepared with 30 tex warp yarns and 25 tex weft yarns. Neglecting yarn crimp, the areal density (g/m²) of the fabric (in integer) is _______.

Ques 25 GATE 2023

A square jammed plain cotton woven fabric is produced from 10 Ne yarn of circular cross-section. Assuming density of yarn as 0.91 g/cm³, the number of threads per inch in the fabric (rounded off to the nearest integer) is _______.

Ques 26 GATE 2023

With reference to KES-FB and FAST systems, the same low stress mechanical property is measured by _______.