Textile Engineering Gate 2017 Questions with Answer
Ques 1 GATE 2017
If the scalar projection of the vector a⃗ = 3î + βk̂ on the vector b⃗ = 2î - 2ĵ + k̂ is 5, what is a possible value of β?
Ques 2 GATE 2017
What is the Laplace transform of e-tcos(2t)?
Ques 3 GATE 2017
If z(x,y) = x² - y², x(t) = t - t⁻² and y(t) = t² + t⁻³, what is dz/dt at t = 1?
Ques 4 GATE 2017
In a three-sigma control chart, the probability that a point falls outside the control limits, when a process is under control, is
Ques 5 GATE 2017
What is the median, accurate to two decimal places, of a random variable X with the probability density function f(x) = { 3x⁻⁴, x > 1; 0, x ≤ 1 }?
Ques 6 GATE 2017
Using Simpson's 1/3 rule, what is the value of the integral (1/π) ∫0π (1 + √sin(x)) dx, accurate to two decimal places?
Ques 7 GATE 2017
If a solution curve of the differential equation x(dy/dx) = y + 2x³ passes through the point (1,0), which other point does this curve also pass through?
Ques 8 GATE 2017
The system of linear equations
Ques 9 GATE 2017
The function f(x) = x³ - 3x² - 9x + 10 is
Ques 10 GATE 2017
Let S₁ be the plane figure consisting of the points (x, y) given by the inequalities |x-1|≤2 and |y+2|≤3. Let S₂ be the plane figure given by the inequalities x-y≥-2, y≥1 and x≤3. Let S be the union of S₁ and S₂. The area of S is
Ques 11 GATE 2017
Probability of warp breakage during weaving increases, when
Ques 12 GATE 2017
In terms of weft insertion rate, which of the following is correct?
Ques 13 GATE 2017
A tuck stitch in knitting makes the fabric
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