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QUESTION: 1

**Q. 1 – Q. 5 carry one mark each.**

Q. Choose the most appropriate word from the options given below to complete the following sentence.

A person suffering from Alzheimer’s disease short-term memory loss.

Solution:

QUESTION: 2

Choose the most appropriate word from the options given below to complete the following sentence.

____________ is the key to their happiness; they are satisfied with what they have.

Solution:

QUESTION: 3

Which of the following options is the closest in meaning to the sentence below?

“As a woman, I have no country.”

Solution:

*Answer can only contain numeric values

QUESTION: 4

In any given year, the probability of an earthquake greater than Magnitude 6 occurring in the Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes is ____ years.

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

Solution:

QUESTION: 5

The population of a new city is 5 million and is growing at 20% annually. How many years would it take to double at this growth rate?

Solution:

QUESTION: 6

**Q. 6 – Q. 10 carry two marks each.**

Q. In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the

group. Which of the following statements is/are required to find the eldest child in the group?

Statements

1. Shiv is younger to Riaz.

2. Shiv is elder to Som.

Solution:

QUESTION: 7

Moving into a world of big data will require us to change our thinking about the merits of exactitude. To apply the conventional mindset of measurement to the digital, connected world of the twenty-first century is to miss a crucial point. As mentioned earlier, the obsession with exactness is an artefact of the information-deprived analog era. When data was sparse, every data point was critical, and thus great care was taken to avoid letting any point bias the analysis.

*From “BIG DATA” Viktor Mayer-Schonberger and Kenneth Cukier*

The main point of the paragraph is:

Solution:

QUESTION: 8

The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram?

Solution:

QUESTION: 9

X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is 1 km east of P. What is the distance between X and Q in km?

Solution:

*Answer can only contain numeric values

QUESTION: 10

10% of the population in a town is HIV^{+}. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV^{+} individuals 95% of the time, and HIV^{−} individuals 89% of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is _______

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

Solution:

QUESTION: 11

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

Q. The range of values of x satisfying the inequality x^{2} −3x + 2 < 0 is

Solution:

QUESTION: 12

A very large tank contains 10 liters of pure water. Salt solution (20 g/l) is pumped into the tank at 2 liter per minute. The salt concentration in g/l in the tank after a very long time will be

Solution:

QUESTION: 13

The inverse Laplace transform of

Solution:

QUESTION: 14

The probability of obtaining a total of 5 in two throws of a dice is

Solution:

QUESTION: 15

Medulla is associated with

Solution:

QUESTION: 16

A good fibre forming polymer should NOT have

Solution:

QUESTION: 17

The DP of viscose fibre is approximately

Solution:

QUESTION: 18

A synthetic yarn is stretched by 5% and kept in the extended condition. With time, the registered

stress will

Solution:

QUESTION: 19

In a cotton card, the wire point density on

Solution:

QUESTION: 20

In a drawframe with 3 over 3 drafting system, the roller most prone to slip is

Solution:

QUESTION: 21

Fibre parallelization in drawn sliver improves with

Solution:

QUESTION: 22

The combing force increases with

Solution:

QUESTION: 23

Pirn winding is an essential preparatory process for weaving on

Solution:

QUESTION: 24

Double acting dobby is driven from

Solution:

QUESTION: 25

In air-jet loom

Solution:

QUESTION: 26

If the diameter of a torsion rod used in projectile loom is doubled then the torque required to twist it would increase by

Solution:

QUESTION: 27

In a sizing process, if add-on is 12.8% and paste concentration is 16%, the value of wet pick-up (%) would be

Solution:

QUESTION: 28

The fibre parameter that CANNOT be obtained from Baer sorter diagram is

Solution:

QUESTION: 29

A 25 tex cotton yarn has a twist factor of 30. The yarn twist, in turns per cm, is

Solution:

QUESTION: 30

With an increase in gauge length, the tenacity of a spun yarn would

Solution:

QUESTION: 31

Sodium chlorite bleaching of cotton is carried out in the temperature range of

Solution:

QUESTION: 32

K/S ratio is related to reflectance (R) as

Solution:

QUESTION: 33

A print paste CANNOT be prepared without

Solution:

QUESTION: 34

In the Limiting Oxygen Index (LOI) test, the sample is kept in

Solution:

QUESTION: 35

A fabric was dyed in acidic medium. If the dye could be stripped out in strong aqueous alkaline solution at room temperature, the dye-fibre combination is

Solution:

QUESTION: 36

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

Q. Of the two eigen values of the matrix

Solution:

*Answer can only contain numeric values

QUESTION: 37

The 51^{st} common term of the two arithmetic sequences 15, 19, 23 ...... and 14, 19, 24 ......, is ......

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

Solution:

QUESTION: 38

The integrating factor for solving the differential equation

Solution:

*Answer can only contain numeric values

QUESTION: 39

X is a continuous random variable whose probability density function is given by

The value of the constant K, accurate to three decimal places, is......

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

Solution:

*Answer can only contain numeric values

QUESTION: 40

is evaluated both by Trapezoidal rule and Simpson's 1/3 rule by taking two subintervals. The difference between the results, accurate to the second decimal place, is ......

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

Solution:

QUESTION: 41

Consider the following assertion [a] and reason [r] and choose the most appropriate answer.

[a] The apparent blend ratio of polyester / viscose fabric would increase as a result of drying

[r] The moisture content of viscose is significantly higher than that of polyester

Solution:

QUESTION: 42

Consider the following assertion [a] and reason [r] and choose the most appropriate answer.

[a] In the case of condensation polymerization of PET, diethylene glycol terephthalate (DGT) is prepared first

[r] In condensation polymerization, it is important to have a correct stoichiometric balance of comonomers

Solution:

*Answer can only contain numeric values

QUESTION: 43

A polypropylene yarn, melt spun at a throughput rate of W (g/s) and winding speed of S (m/min), was drawn to a draw ratio of D. The denier of this yarn is a function of W, S, D and a constant K. The value of K, accurate to the nearest integer, is............

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

Solution:

QUESTION: 44

Consider the following assertion [a] and reason [r] and choose the most appropriate answer.

[a] Cut and crush method for tow to top conversion uses cutting roller with embedded helical blade

[r] This helps to impart crimp in the cut fibres

Solution:

QUESTION: 45

Consider the following assertion [a] and reason [r] and choose the most appropriate answer.

[a] Before SEM analysis of carbon fibre, it is sputter coated with gold or silver

[r] This is done because the carbon fibre is electrically insulating

Solution:

*Answer can only contain numeric values

QUESTION: 46

A cleaning unit in a blowroom is processing cotton at 600 kg/h. The waste generated is 2%. The lint to trash ratio is 60:40. The lint (in kg) accumulated in 8 hours, accurate to one decimal place, will be ......

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

Solution:

*Answer can only contain numeric values

QUESTION: 47

The twist contraction factor of a filament yarn is 1.06. For producing 5 ton twisted yarn of 50 tex, the untwisted yarn length required, in km, accurate to the nearest integer, is ......

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

Solution:

QUESTION: 48

For producing a coarse count yarn from short staple trashy cotton sliver, the most suitable rotor is

Solution:

QUESTION: 49

Consider the following figures. Choose the alternative that represents the correct relation

Solution:

*Answer can only contain numeric values

QUESTION: 50

The surface helix angle of a fibre in a yarn of 0.3 mm diameter is 30°. Assuming ideal helix geometry, the helix angle (in degrees), of a fibre situated at 0.1 mm from the yarn axis, accurate to one decimal place, will be ......

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

Solution:

QUESTION: 51

Higher value of stitch cam setting in a weft knitting machine would

Solution:

*Answer can only contain numeric values

QUESTION: 52

A shuttle loom producing 3 up 1 down twill fabric is running at 180 picks per minute. The angular velocity of the tappet (cam) shaft in radian per second, accurate to two decimal places, would be ......

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

Solution:

*Answer can only contain numeric values

QUESTION: 53

A yarn is passing over a multiplicative tensioner with an angle of wrap of 90°. If the input yarn tension is 100 cN and coefficient of friction between yarn and tensioner is 0.2, then the output yarn tension in N, accurate to two decimal place, would be ......

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

Solution:

QUESTION: 54

During beat-up, possibility of bumping increases if

Solution:

*Answer can only contain numeric values

QUESTION: 55

A needle-punched nonwoven fabric has 2 mm thickness and 400 g/m^{2} areal density. If the fibre density is 0.9 g/cm^{3}, the volume porosity (%) of the fabric, accurate to the nearest integer, will be ......

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

Solution:

QUESTION: 56

For a square plain fabric, crimp in one set of yarns would be completely removed without jamming, if the ratio of modular length (l) to the sum of the yarn diameters (D) is

Solution:

*Answer can only contain numeric values

QUESTION: 57

The breaking load of a 300 mtex fibre is 110 mN. If the density of the fibre is 1.24 g/cm^{3}, breaking stress in kN/cm^{2}, accurate to one decimal place, will be ......

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

Solution:

*Answer can only contain numeric values

QUESTION: 58

A 60.5 tex yarn with an unevenness CV of 10% is produced from 0.5 tex polyester fibre. The index of irregularity of the yarn, accurate to one decimal place, will be ......

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

Solution:

QUESTION: 59

The vibroscope method for determination of fibre fineness does NOT take into account

Solution:

QUESTION: 60

In the context of Kawabata Evaluation System, match the fabric properties from Group I with the units from Group II.

Solution:

*Answer can only contain numeric values

QUESTION: 61

The Barium Activity Number (BAN) was determined using the standard procedure. For this, 30 ml of 0.25N Ba(OH)_{2} solution was used, in each of the three titrations, i.e. (a) blank titration, (b) back titration where mercerized fabric sample was immersed and (c) back titration where unmercerized fabric sample was immersed in Ba(OH)_{2} solution. If the volume (ml) of 0.1N HCl consumed was 10, 1 and 4.5 respectively, the BAN of the mercerized sample, accurate to one decimal place, is .......

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

Solution:

*Answer can only contain numeric values

QUESTION: 62

Scoured and bleached cotton fabric was dyed with reactive dye under the following conditions:

Temperature of dyeing: 40 ^{o}C

Shade: 3%

Fixation efficiency: 65%

If the rate of hydrolysis of dye is known to be 5% more for every 10 ^{o}C rise in dyeing temperature, the amount of dye fixed on cotton (g of dye / kg of fibre), if dyed at 50 ^{o}C, accurate to one decimal place, would be......

Solution:

QUESTION: 63

Consider the following assertion [a] and reason [r] and choose the most appropriate answer.

[a] In a roller printing machine, the doctor blade is closely set over the printing roller

[r] This is to remove the lint collected on the roller

Solution:

QUESTION: 64

A cotton fabric is finished with DMDHEU. As a result, its

Solution:

QUESTION: 65

During burning, a flame retardant does NOT

Solution:

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