Textile Engineering And Fibre Science - TF 2016 GATE Paper (Practice Test) - GATE MCQ

R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.

Which of the following can be logically inferred from the above statements?

If |9y−6| =3, then y² −4y/3 is .

Q. 6 – Q. 10 carry two marks each.

The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual production of cement to installed capacity. A plant with installed capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a small plant. The difference between total production of large plants and small plants, in tonnes is ____.

(Important - Enter only the numerical value in the answer)

A poll of students appearing for masters in engineering indicated that 60 % of the students believed that mechanical engineering is a profession unsuitable for women. A research study on women with masters or higher degrees in mechanical engineering found that 99 % of such women were successful in their professions.

Which of the following can be logically inferred from the above paragraph?

Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country.

Which of the following can be logically inferred from the above sentence?

Based on the proposal,

(i) In the initial years, SIT students will get degrees from IIT.

(ii) SITs will have a distinct national objective.

(iii) SIT like institutions can only be established in consultation with IIT.

(iv) SITs will serve technological needs of a developing country.

Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?

The numeral in the units position of 211⁸⁷⁰ + 146¹²⁷ × 3⁴²⁴ is _____.

(Important - Enter only the numerical value in the answer)

Q. 11 – Q. 35 carry one mark each.

Q. The following partial differential equation U_xx + U_yy = 0 is of the type

Which of the following is a multi-step numerical method for solving the ordinary differential equation?

Let X be a normally distributed random variable with mean 2 and variance 4. Then, the mean of is equal to ___________

(Important - Enter only the numerical value in the answer)

Let A =  . The determinant of A^-1 is equal to

Which of the following amino acids is responsible for relatively higher wet strength in wool fiber?

Which one of the following stereo structures of polypropylene is (are) used for commercial fibre manufacture?

Acrylic fibre has high glass transition temperature ( Tg ≈ 100^oC) primarily due to

In which of the following polymerization methods the rate of reaction is very high and leads to uncontrolled polymerization ?

Which of the following textile strands is the finest?

In a carding machine, in which of the following zones the fibre alignment is negatively affected to the maximum extent?

Which of the following is the correct sequence of events which happen in a roller drafting zone?

In which region of ring spinning, Coriolis force acts?

Which of the following shuttleless weaving systems can offer maximum fabric width ?

The filling yarn density at selvage is doubled in case of

Which of the following shedding mechanisms provides control of individual warp thread during weaving ?

The time required (minutes) to wind 10 kg of 40 tex yarn when the winding machine works at 1000 m/min with an efficiency of 90% is ____________

(Important - Enter only the numerical value in the answer)

The test statistic to be used for carrying out a test of hypothesis on the mean of a normal distribution with unknown variance is

If the length of a confidence interval on the mean of a normal distribution with known variance is to be halved, the sample size must

A comb sorter diagram of cotton fibres is shown below:

where OM=0.5 OY, OA=0.25 OC, AN=0.5 AA', and OB=0.25 OD. The effective length is

A fabric specimen of original length 75 mm is stretched to a length of 120 mm and after removal of the load the length reduces to 95 mm. The elastic recovery (%) of the fabric specimen is ________

(Important - Enter only the numerical value in the answer)