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QUESTION: 1

**Q. 1 – Q. 5 carry one mark each.**

Q. The chairman requested the aggrieved shareholders to _________________ him.

Solution:

QUESTION: 2

Identify the correct spelling out of the given options:

Solution:

QUESTION: 3

Pick the odd one out in the following:

13, 23, 33, 43, 53

Solution:

QUESTION: 4

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?

Solution:

QUESTION: 5

If |9y−6| =3, then y^{2} −4y/3 is .

Solution:

*Answer can only contain numeric values

QUESTION: 6

**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)

Solution:

QUESTION: 7

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?

Solution:

QUESTION: 8

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.

Solution:

QUESTION: 9

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?

Solution:

*Answer can only contain numeric values

QUESTION: 10

The numeral in the units position of 211^{870} + 146^{127} × 3^{424} is _____.

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

Solution:

QUESTION: 11

**Q. 11 – Q. 35 carry one mark each.**

Q. The following partial differential equation U_{xx} + U_{yy} = 0 is of the type

Solution:

QUESTION: 12

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

Solution:

*Answer can only contain numeric values

QUESTION: 13

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)

Solution:

QUESTION: 14

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

Solution:

QUESTION: 15

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

Solution:

QUESTION: 16

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

Solution:

QUESTION: 17

Acrylic fibre has high glass transition temperature ( Tg ≈ 100^{o}C) primarily due to

Solution:

QUESTION: 18

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

Solution:

QUESTION: 19

Which of the following textile strands is the finest?

Solution:

QUESTION: 20

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

Solution:

QUESTION: 21

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

Solution:

QUESTION: 22

In which region of ring spinning, Coriolis force acts?

Solution:

QUESTION: 23

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

Solution:

QUESTION: 24

The filling yarn density at selvage is doubled in case of

Solution:

QUESTION: 25

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

Solution:

QUESTION: 26

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)

Solution:

QUESTION: 27

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

Solution:

QUESTION: 28

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

Solution:

QUESTION: 29

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

Solution:

*Answer can only contain numeric values

QUESTION: 30

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)

Solution:

QUESTION: 31

A sector-shaped, falling-pendulum type apparatus is suitable for measurement of

Solution:

QUESTION: 32

Sodium persulphate is used in

Solution:

QUESTION: 33

Polyester is dyed with a disperse dye at 100^{o}C and 120^{o}C till equilibrium is achieved. If D[f] and D[s] represent the dye in fibre and dye in solution respectively, then the correct choice for the dyeing isotherms at the two temperature will be

Solution:

QUESTION: 34

A dye with dischargeability rating of 1 (one) WILL NOT be suitable for

Solution:

QUESTION: 35

The enzyme used for biopolishing of cotton is

Solution:

QUESTION: 36

**Q. 36 – Q. 65 carry two marks each.**

Q. The eigen values and eigen vectors of are

Solution:

*Answer can only contain numeric values

QUESTION: 37

Let . The value of is equal to _________

Solution:

*Answer can only contain numeric values

QUESTION: 38

Let X be a continuous type random variable with probability density function the value of x is equal to _____________

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

Solution:

QUESTION: 39

The integrating factor of =0 is

Solution:

*Answer can only contain numeric values

QUESTION: 40

The Fourier series of periodic function is given

by . Then, the value of is equal to_________

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

Solution:

QUESTION: 41

Match the fibers listed in Column A with the compounds used in its manufacture listed in Column B. Choose the right answer from options A, B, C and D.

Solution:

QUESTION: 42

Consider the following assertion [a] and reason [r] and choose the correct alternative from amongst

A, B, C and D.

[a] Both polyester and nylon filaments can be drawn at room temperature to achieve higher strength, modulus and dimensional stability.

[r] Tg of both polyester and nylon can be lowered to room temperature on absorption of atmospheric moisture.

Solution:

QUESTION: 43

Low pill PET fibres of a given denier can be produced by a combination of any two options listed

below. Choose the right combination from A, B, C and D.

P. Lowering the IV (intrinsic viscosity) of the polymer

Q. Increasing the IV (intrinsic viscosity) of the polymer

R. Increasing the draw ratio S. Decreasing the draw ratio

Solution:

QUESTION: 44

Which of the following combination of statements from options A, B, C and D is correct ?

1. X-ray Diffraction gives information about crystallinity and crystal size in semicrystalline polymers.

2. Differential Scanning Calorimetery gives information about T_{g}, T_{m} and T_{c} as well as enthalpy of melting and crystallization.

3. In Scanning Electron Microscopy the sample has to be coated with silver to make it conducting.

4. Birefringence is a measure of molecular orientation in amorphous phase only.

Solution:

QUESTION: 45

Match the fibre in Column A with the spinning technique used to manufacture in Column B. Choose the correct alternative from options A, B, C and D.

Solution:

*Answer can only contain numeric values

QUESTION: 46

If 50 bales of 5 μg/inch, 20 bales of 3.5 μg/inch and 40 bales of 3.0 μg/inch cotton fibres are mixed, the resultant μg/inch of the mixed cotton is __________

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

Solution:

*Answer can only contain numeric values

QUESTION: 47

A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The number of doublings of fibre layers in the rotor is _________

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

Solution:

QUESTION: 48

Consider the following assertion [a] and reason [r] and choose the correct alternative from amongst

A, B, C and D.

[a] Compared to ring spun yarns, rotor spun yarns have better evenness for the same yarn count.

[r] Rotor spun yarns have more number of fibres in the yarn cross section compared to ring spun yarns of same count.

Solution:

*Answer can only contain numeric values

QUESTION: 49

The final yarn count required from a ring frame is 36s Ne with 28 TPI. The twist contraction during spinning is 3%. If the feed roving count is 2s Ne, the mechanical draft required in the ring frame will be _________

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

Solution:

*Answer can only contain numeric values

QUESTION: 50

The diameter (mm) of a cotton yarn of 50 tex count and 0.45 packing density, assuming cotton fibre density to be 1.54 g/cm^{3}, is ___________

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

Solution:

QUESTION: 51

In needle punching process, higher punch density CAN NOT cause

Solution:

QUESTION: 52

Which of the following features IS NOT found in a crepe weave

Solution:

*Answer can only contain numeric values

QUESTION: 53

The crimp% of a square cloth in which thread spacing is equal to the yarn diameter and no jamming takes place, will be ___________

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

Solution:

*Answer can only contain numeric values

QUESTION: 54

A 38 cm diameter circular knitting machine accommodates 4 needles per cm. The stitch length is 6 mm and wale constant can be assumed to be 42.2. The flat fabric width (cm) in finished - relaxed form is ___________

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

Solution:

QUESTION: 55

The least desired feature of fibre in wet laid nonwoven fabric is

Solution:

*Answer can only contain numeric values

QUESTION: 56

The surface area per unit volume (mm^{-1}) of a circular polyester fibre of 1.5 denier fineness and 1.38 g/cm^{3} density, ignoring the fibre ends, is ____________

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

Solution:

*Answer can only contain numeric values

QUESTION: 57

The fibre packing density in a cotton bale of 170 kg weight and dimensions 1060 mm (L) × 530 mm (W) × 780 mm (H), assuming cotton fibre density to be 1.54 g/cm^{3}, is __________

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

Solution:

*Answer can only contain numeric values

QUESTION: 58

A cotton yarn with 5% breaking elongation needs to be tested for breaking strength in a tensile

tester at 500 mm gauge length. The clamp speed (mm/min) required to break the specimen in 20 s is _________

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

Solution:

*Answer can only contain numeric values

QUESTION: 59

The rotational speed of a card cylinder with locally damaged card clothing is 400 rpm and the sliver

delivery rate is 100 m/min. The wavelength (m) of the periodic mass variation in the card sliver is

_________

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

Solution:

*Answer can only contain numeric values

QUESTION: 60

The flexural rigidity, expressed in 10^{-4} mg·cm, of a fabric test specimen of 100 g/m^{2} areal density and 0.40 mm length of overhang determined using a cantilever test with a standard angle of deflection of 41.5º, is ___________

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

Solution:

*Answer can only contain numeric values

QUESTION: 61

The volume strength of 1 molar H_{2}O_{2} solution will be ___________

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

Solution:

QUESTION: 62

Consider the following assertion [a] and reason [r] and choose the correct alternative from amongst A, B, C and D.

[a] In dyeing of polyester with disperse dyes, it is easier to obtain dark shades with solvent dyeing method than with aqueous dyeing method.

[r] The partition coefficient (D[f]/D[s]) of disperse dyes is much lower in aqueous medium than in a solvent.

Solution:

*Answer can only contain numeric values

QUESTION: 63

A reactive dye is applied on cotton fabric by continuous method. The achieved shade on fabric is 2% on the weight of fabric. The dyebath concentration is 25 gram per litre and the % expression after padding is 100. The specific gravity of the solution is 1. The fixation % of the dye on the fabric is __________________________

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

Solution:

QUESTION: 64

[a] In resin finishing of cellulosic textiles, usually the curing stage is carried out in hot dry air and

not in steam.

[r] The acid catalyst used in resin formulation is activated in hot air only.

Solution:

QUESTION: 65

Match the printing processes in Column A with print paste components in Column B. Choose the correct alternative from options A, B, C and D.

Solution:

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