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Question 1 of 65
1. Question
If the scalar projection of the vector on the vector is 5, then a value of β is equal to
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Question 2 of 65
2. Question
The Laplace transform of e^{−t} cos(2t) is
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Question 3 of 65
3. Question
If z(x, y) = x^{2} – y^{2}, x(t) = t – t^{2} and y(t) = t^{2} + t^{−3} then at t = 1 is equal to ________
CorrectIncorrectHint
NAT Type Question

Question 4 of 65
4. Question
The characteristic observation in burning test of cotton fibre is
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Question 5 of 65
5. Question
The given structure is a repeat unit of
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Question 6 of 65
6. Question
Which of the following is(are) bast fibre(s)
P. Cotton
Q. Flax
R. Silk
S. Jute
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Question 7 of 65
7. Question
During crystallization of polyester
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Question 8 of 65
8. Question
Which of the following fibre(s) is(are) manufactured by melt spinning process
P. Viscose
Q. Cellulose acetate
R. Nylon6
S. Aramid
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Question 9 of 65
9. Question
Keeping card production same, the quality of carding will improve by setting
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Question 10 of 65
10. Question
The tenacity of
P. Carded sliver
Q. First drawn sliver
R. Second drawn sliver
S. Combed sliver
follows the order
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Question 11 of 65
11. Question
For a given yarn fineness, use of ring traveler of too small a mass gives
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Question 12 of 65
12. Question
In cotton combing process, the counterfeed system gives
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Question 13 of 65
13. Question
Probability of warp breakage during weaving increases, when
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Question 14 of 65
14. Question
In terms of weft insertion rate, which of the following is correct?
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Question 15 of 65
15. Question
A tuck stitch in knitting makes the fabric
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Question 16 of 65
16. Question
A perpendicularlaid nonwoven
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Question 17 of 65
17. Question
The cut squaring technique of sampling of fibres is NOT applicable to
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Question 18 of 65
18. Question
The ratio of wetstrength ot drystrength of viscose fibre is
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Question 19 of 65
19. Question
Theoretical limit for mass irregularity (CV_{lim}) of a cotton yarn does NOT depend on
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Question 20 of 65
20. Question
Diamond bars appear in woven fabric due to
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Question 21 of 65
21. Question
In a threesigma control chart, the probability that a point falls outside the control limits, when a process is under control, is
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Question 22 of 65
22. Question
Shrinkage of cotton fabric during wetting is caused by
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Question 23 of 65
23. Question
Vapourphase flame retardant agents are based on compound containing
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Question 24 of 65
24. Question
White specks observed in dyed cotton fabric are attributed to
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Question 25 of 65
25. Question
Number of moles, accurate to one decimal place, required in 200 cm^{3} to make 0.5 mol l^{−1} sodium hydroxide solution is _____
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NAT Type Question

Question 26 of 65
26. Question
The median, accurate to two decimal places, of a random variable X with the probability density function is _______
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NAT Type Question

Question 27 of 65
27. Question
Using Simpson’s 1/3 rule, the value of the integral accurate to two decimal places, is _____
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NAT Type Question

Question 28 of 65
28. Question
If a solution curve of the differential equation passes through the point (1, 0), then this curve also passes through the point
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Question 29 of 65
29. Question
The system of linear equations has
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Question 30 of 65
30. Question
The function f(x) = x^{3} – 3x^{2} – 9x + 10 is
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Question 31 of 65
31. Question
Group I contains techniques of fibre manufacturing. Group II gives the physical phenomena associated with these techniques. Match the technique with the phenomenon
Group I
P. Melt spinning
Q. Wet spinning
R. Dry spinning
Group II
1. Diffusion of only solvent
2. Diffusion of both solvent and nonsolvent
3. No solvent diffusion
CorrectIncorrect 
Question 32 of 65
32. Question
The average molecular mass, in g/mol, of nylon6 polymer, having average degree of polymerization of 100, is ______
(given S = 32 amu, N = 14 amu, O = 16 amu, C = 12 amu, H = 1 amu)
CorrectIncorrectHint
NAT Type Question

Question 33 of 65
33. Question
Group I consists of names of fibres. Group II gives characteristic structural features of these fibres. Match the fibre from Group I to its respective feature from Group II
Group I Group II
P. Cotton 1. Para and orthocortex
Q. Jute 2. Primary and secondary wall
R. Wool 3. Fibroin βsheets
S. Silk 4. Multicellular
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Question 34 of 65
34. Question
Wool gives warmth because it has
P. A helical structure which can entrap air
Q. High heat of sorption
R. Low crystallinity
S. High extensibility
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Question 35 of 65
35. Question
To obtain high molecular weight nylon66, if 11.6 g of hexamethylene diamine (molecular weight 116 g/mol) is used, then the required amount of adipic acid (molecular weight 146 weight 146 g/mol), in gram, accurate to one decimal place, is _______
CorrectIncorrectHint
NAT Type Question

Question 36 of 65
36. Question
If the distance between two adjacent fibres of circular crosssection in a hexagonally packed yarn is equal to the radius of the fibre, then the packing density of yarn, accurate to three decimal places, is _______
CorrectIncorrectHint
NAT Type Question

Question 37 of 65
37. Question
A 30 tex openend rotor yarn having 650 twist per meter is produced using 33 mm rotor diameter and 1,20,000 rotor rpm. The rotational speed of the peeloff point is ______× 10^{3} rpm
CorrectIncorrectHint
NAT Type Question

Question 38 of 65
38. Question
A bobbin lead roving frame is running at 25 m/min delivery speed and 1250 rpm spindle speed. The rotational speed of the bobbin, at the instant of 0.10 m bobbin diameter, accurate to two decimal places, is _____ rpm
CorrectIncorrectHint
NAT Type Question

Question 39 of 65
39. Question
A Tshirt is produced from cotton fibre of 1520 kg m^{−3} density, 1.4 dtex fineness and 30 mm length. The total number of fibres in the Tshirt of 0.15 kg is ______× 10^{6}
CorrectIncorrectHint
NAT Type Question

Question 40 of 65
40. Question
Pilling resistance of
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Question 41 of 65
41. Question
A needle loom, having a needle board with 2000 needles/m, is operating at a stroke frequency of 2000 strokes/min and producing a needlepunched nonwoven fabric at 5m/min. The punch density, in number of punches per cm^{2} is _______
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NAT Type Question

Question 42 of 65
42. Question
Compared to conventional sizing, the wet sizing process reduces
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Question 43 of 65
43. Question
In a fabric, warp count is 25 tex, weft count is 32 tex, ends per cm is 25, picks per cm is 15, warp crimp is 6% and weft crimp is 8%. The areal density of the fabric, in g/m^{2} accurate to two decimal places, is ______
CorrectIncorrectHint
NAT Type Question

Question 44 of 65
44. Question
Let a cheese of 160 mm traverse length be wound on a rotary traverse machine having a drum of 75 mm diameter and 2.5 crossings. If the drum rotates at 3250 rpm, then the coil angle, in degrees, accurate to one decimal place, is _______
CorrectIncorrectHint
NAT Type Question

Question 45 of 65
45. Question
Group I consists of weave designs. Group II lists enduse/property. Match the weave design from Group I with the corresponding enduse/property from Group II
Group I Group II
P. Leno 1. Furnishing
Q. Honeycomb 2. Broken and irregular surface
R. Jacquard 3. Mosquito net
S. Crepe 4. Towel
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Question 46 of 65
46. Question
At 65% relative humidity and 20℃ temperature, the moisture regain of the fibres
(P) Wool (Q) Nylon 6 (R) Cotton (S) Polyester
follows the order
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Question 47 of 65
47. Question
While measuring tensile properties using Stelometer at 3.2 mm gauge length, a cotton fibre bundle of 15 mm length and 4.5 mg weight registers a breaking load of 6 kg. The bundle tenacity (g/tex) is _____
CorrectIncorrectHint
NAT Type Question

Question 48 of 65
48. Question
The tenacity of a twofold yarn is 1.1 times the tenacity of its component single yarn. The breaking load of the twofold yarn is X times the breaking load of its single component yarn. Neglecting length contraction due to twist, the value of X, accurate to one decimal place, is ______
CorrectIncorrectHint
NAT Type Question

Question 49 of 65
49. Question
The compressive pressure applied onto a fabric is inversely proportional to the cube of thickness of the fabric. If the thickness is halved during compression, then the pressure increase by _______ times.
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NAT Type Question

Question 50 of 65
50. Question
The coefficient of correlation between packing density and porosity of a set of yarns is _______
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NAT Type Question

Question 51 of 65
51. Question
Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]
Assertion : Jet dyeing machines yield level dyeing in short dyeing time
Reason : Jet dyeing machines use pressure jets to force dye into the fibre
CorrectIncorrect 
Question 52 of 65
52. Question
Group I lists chemical processes. Group II lists chemicals used in these processes. Match the process with the corresponding chemical
Group I Group II
P. Carbonising 1. Na_{2}CO_{3}
Q. Scouring 2. H_{2}SO_{4}
R. Bleaching 3. NaOH
S. Mercerising 4. H_{2}O_{2}
CorrectIncorrect 
Question 53 of 65
53. Question
Determine the correctness or otherwise of the following statements
[p] The contact angle θ is indicated of the wetability of a textile surface by a liquid
[q] Values of θ > 90° indicate poor wetting surfaces
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Question 54 of 65
54. Question
The addon of a chemical finish required on a fabric is 3% onweightoffabric (owf). If the wet pick up is 80%, then the concentration of finish required in the padding bath, in % (wt/wt), accurate to two decimal places, is ______
CorrectIncorrectHint
NAT Type Question

Question 55 of 65
55. Question
Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]
Assertion : Burnt out effect on polyester/cotton blend fabric can be obtained by printing
Reason : Printing paste contains a reagent that releases an acid during steaming
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Question 56 of 65
56. Question
He was one of my best __________ and I felt his loss _________.
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Question 57 of 65
57. Question
As the two speakers became increasingly agitated, the debate became __________.
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Question 58 of 65
58. Question
A right – angled cone (with base radius 5cm and height 12cm), as shown in the figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again.
By what angle (in radians) about P does the cone travel?
CorrectIncorrect 
Question 59 of 65
59. Question
In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000 8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is
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Question 60 of 65
60. Question
P,Q, and R talk about S’s car collection. P states that S has at least 3 cars. Q believes that S has less than 3 cars. R indicates that to his knowledge, S has at least one Car. Only one of P, Q and R is right the number cars owned by S is.
CorrectIncorrect 
Question 61 of 65
61. Question
“Here, throughout the early 1820s, Stuart continued to fight his losing battle to allow his sepoys to wear their castemarks and their own choice of facial hair on parade, being again reprimanded by the commanderinchief. His retort that ‘A stronger instance than this of European prejudice with relation to this country has never come under my observations’ had no effect on his superiors.”
According to this paragraph, which of the statements below is most accurate?
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Question 62 of 65
62. Question
What is the sum of the missing digits in the subtraction problem below?
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Question 63 of 65
63. Question
Let S_{1} be the plane figure consisting of the points (x,y) given by the inequalities x – 1 ≤ 2 and y + 2 ≤ 3. Let S_{2} be the plane figure given by the inequalities x – y ≥ −2, y ≥ 1, and x ≤ 3 Let S be the union of S_{1} and S_{2}. The area of S is
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Question 64 of 65
64. Question
Two very famous sportsmen Mark and Steve happened to be brothers, and played for country K. Mark teased James, an opponent from country E, “There is no way you are good enough to play for your country.’’ James replied, “Maybe not, but at least I am the best player in my own family.”
Which one of the following can be inferred from this conversation?
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Question 65 of 65
65. Question
minimum bacterial population density of 0.8(in suitable units) is needed to form curd. In the graph below, the population density of lactobacillus in 1 litre of milk is plotted as a function of time, at two different temperatures, 25°C and 37°C.
Consider the following statements based on the data shown above:
(i) The growth in bacterial population stops earlier at 37°C as compared to 25°C
(ii) The time taken for curd formation at 25°C is twice the time taken at 37°C
Which one of the following options is correct?
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