Textile Engineering Gate 2026 Questions with Answer
Ques 1 GATE 2026
The largest integer value of x for which the trace of the following matrix is less than 10 is ______.
Matrix:
[2 1 0]
[0 x 2]
[0 0 4]
Ques 2 GATE 2026
The sum of the coefficients of the second degree Taylor polynomial of the function f(x) = ln(1 + sin(x)) centred at x = 0 is _____.
Ques 3 GATE 2026
For the linear differential equation dy/dx + 2y = 4x with the initial condition y(0) = 1, the value of y(3) is nearest to ______.
Ques 4 GATE 2026
Given the pairs of values of (X, Y) as (2, 60), (4, 70) and (6, 90), m is the slope of the linear regression plot of Y on X. The value of m is _______.
Ques 5 GATE 2026
A fair coin is tossed 6 times. The probability of getting at least 5 heads is _________________. (rounded off to two decimal places)
Ques 6 GATE 2026
For the non-linear differential equation dy/dx = y2 − y with the initial condition y(0) = 0.5, the value of y(3) is nearest to _________.
Ques 7 GATE 2026
The number of trousers sold per hour by a clothing store follows the Poisson distribution with a mean of 5. The probability of at least 3 trousers being sold per hour is nearest to _______.
Ques 8 GATE 2026
A rectangular box with an open top has an outer surface area of 12 m2. The length of the base is twice the width. If the volume of the box is to be maximised, then the ratio of length to height should be ____________. (answer in integer)
Ques 9 GATE 2026
The value of the integral ∫02 x2 dx calculated using the trapezoidal rule with n = 2 (two subintervals) is ____________. (answer in integer)
Ques 10 GATE 2026
Suresh said, “I did it yesterday.”
Which one of the following options is the correct form of this sentence in indirect speech?
Ques 11 GATE 2026
To continue the sequence of tiles shown, the tile indicated by the question mark should be:
Ques 12 GATE 2026
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is ________.
Ques 13 GATE 2026
The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?
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