Let $A$, $B$ and $X$ be three matrices such that $A = BX$. If $A = \begin{pmatrix} 2 & 4 \\ -1 & 3 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}$, then $X$ equals

A) \begin{pmatrix} 2 & 0 \\ -1 & 3 \end{pmatrix}

$\int \frac{dx}{x(x^n + 1)}$ is equal to

B) $\frac{1}{n} \ln \left| \frac{x^n + 1}{x^n} \right| + C$

For the function $f(x) = x^3 + 3x$, the point

A) $x = -1$ is a point of minimum

Banbury mixing is suitable for industries doing

A) Large volumes of limited number of compounds based on similar rubbers

B) Difficult to injection mould due to compounds with high viscosity and high scorch danger

Reclaimed rubber is useful because

C) It reduces cost, gives processing advantages and also improves ageing resistance for NR compounds besides solving pollution problem caused by littering of used tyres

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93 questions with answersFinal answer keyKerala PSC Exam

Lecturer in Polymer Technology (Polytechnics) - Technical Education question paper 2023

Date of test: 21-07-2023
Question paper code: 120/2023/OL
Questions: 93
Answer key: Final Answer Key
Exam mode: Online (computer based)

See questions with answers Practise as a mock test

Source: Kerala PSC (keralapsc.gov.in) · official document· Last updated 25 Sept 2026· How we check content

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All 93 questions with answers

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1.
Let $A$ , $B$ and $X$ be three matrices such that $A = BX$ . If $A = \begin{pmatrix} 2 & 4 \\ -1 & 3 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}$ , then $X$ equals
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Answer: A —
\begin{pmatrix} 2 & 0 \\ -1 & 3 \end{pmatrix}
Solving matrix equation $A = BX$ gives $X = B^{-1}A$ .
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2.
If $a + b + c = 0$ , one root of $\begin{vmatrix} a-x & c & b \\ c & b-x & a \\ b & a-x & c \end{vmatrix} = 0$ is
Show answer and explanation
Answer: D —
$0$
Substituting $x = 0$ and using $a+b+c=0$ satisfies the determinant equation.
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3.
The term independent of $x$ in the expansion of $\left(x - \frac{1}{x}\right)^{10}$ is
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Answer: C —
6th
The general term $T_{r+1}$ in $\left(x - \frac{1}{x}\right)^{n}$ is used to find where the power of $x$ is zero.
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4.
The equation of the line that had $y$ intercept $4$ and is perpendicular to $3x + 2y = 7$ is
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Answer: B —
$2x - 3y + 12 = 0$
Perpendicular line to $3x+2y=7$ has the form $2x-3y+k=0$ . Using $y$ -intercept 4, we find $k=12$ .
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5.
If $y = \tan^{-1}\left(\frac{a\cos x - b\sin x}{b\cos x + a\sin x}\right)$ , then the value of $a\cos 2x + 2\sin 2x$ is
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Answer: C —
$a$
Simplifying the trigonometric expression gives the required derivative/value.
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6.
$\int \frac{dx}{x(x^n + 1)}$ is equal to
Show answer and explanation
Answer: B —
$\frac{1}{n} \ln \left| \frac{x^n + 1}{x^n} \right| + C$
Using substitution $u = x^n$ or partial fractions.
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7.
If $y = px + q$ is a tangent to the curve $y = x^2 - x$ at $(2, 3)$ , then $(p, q) =$ ?
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Answer: D —
$(2, -7)$
Slope $p = \left. \frac{dy}{dx} \right|_{(2,3)}$ and using the point $(2,3)$ to find $q$ .
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8.
For the function $f(x) = x^3 + 3x$ , the point
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Answer: A —
$x = -1$ is a point of minimum
Checking the first and second derivatives of the function.
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9.
The area of the region bounded by the curve $y = \sin x$ and $x$ -axis is
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Answer: C —
$1$
Integrate $\sin x$ from $0$ to $\pi$ .
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10.
The solution of the differential equation $x \frac{dy}{dx} + y = x^2$ is
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Answer: A —
$3xy = x^3 + C$
Solving as a linear differential equation using integrating factor.
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11.
Two rubbers which are prepared by coordination polymerization are
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Answer: D —
IR and EPDM
Coordination catalysts (Ziegler-Natta) are used for the production of synthetic cis-polyisoprene (IR) and EPDM rubbers.
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12.
The following is not a delayed action accelerator
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Answer: D —
DPG
Diphenyl guanidine (DPG) is a fast accelerator, whereas CBS, MBTS, and NOBS are delayed-action accelerators.
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13.
A very convenient cure system for poly acrylate rubber is
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Answer: D —
Sulphur+soap
Polyacrylate rubbers (ACM) are typically cured using soap-amine or sulphur-soap cure systems.
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14.
Banbury mixing is suitable for industries doing
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Answer: A —
Large volumes of limited number of compounds based on similar rubbers
Banbury internal mixers are ideal for high-volume production of standardized rubber compounds.
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15.
Natural rubber is
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Answer: B —
Difficult to injection mould due to compounds with high viscosity and high scorch danger
NR compounds typically have high green strength, high viscosity, and narrow processing windows leading to scorch risks.
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16.
Reclaimed rubber is useful because
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Answer: C —
It reduces cost, gives processing advantages and also improves ageing resistance for NR compounds besides solving pollution problem caused by littering of used tyres
Reclaimed rubber provides economic and processing benefits, improves ageing, and aids in waste tyre management.
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17.
____________ polymer is suitable for blow moulding
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Answer: D —
SBS
SBS (Styrene-Butadiene-Styrene) block copolymers are often used in blow moulding applications.
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18.
The life of an oil seal depends on _______ property
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Answer: C —
Compression set
Compression set is a critical property for seals to maintain their sealing force over time.
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19.
For getting the faster cure rate in IIR
Show answer and explanation
Answer: C —
both of the above
Increasing isoprene content or halogenating IIR (Butyl rubber) improves its reactivity and cure rate.
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20.
CR is modified during polymerization to
Show answer and explanation
Answer: A —
Reduce its crystallization
Chloroprene rubber (CR) is often modified (e.g., with sulfur or comonomers) to reduce its tendency to crystallize.
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21.
The difficult in dispersing silica in diene rubbers is due to
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Answer: A —
participate-particle interactions in the filler
Silica particles have strong filler-filler interactions (hydrogen bonding) that make dispersion in non-polar rubbers difficult.
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22.
Payne effect is studied using
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Answer: A —
Dynamic mechanical analysis
The Payne effect, which describes the strain-dependent dynamic modulus of filled rubbers, is measured using DMA.
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23.
The first generation of solution SBR had
Show answer and explanation
Answer: A —
Blockiness
Early solution SBR processes often resulted in blocky styrene distribution.
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24.
A non polar rubber which can surpass NR in all aspects is
Show answer and explanation
Answer: D —
Poly alkenamer
Polyalkenamers are known for their unique properties that can compete with or surpass natural rubber.
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25.
Upside down mixing is done for
Show answer and explanation
Answer: D —
Rubbers which soften quickly during mixing
Upside down mixing is a technique used for rubbers that soften rapidly to ensure efficient filler incorporation.
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26.
For easy transport and handling, carbon black is
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Answer: B —
Pelletised
Carbon black is pelletized to reduce dust and improve flowability for handling.
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27.
ZnO+Steatic acid causes
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Answer: B —
Increase in cross linking extent
The combination of Zinc Oxide and Stearic acid acts as an activator to increase the extent of cross-linking.
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28.
The excellent tackiness of NR is due to
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Answer: D —
Both 1 and 2
The tackiness of natural rubber is attributed to both its low glass transition temperature and its ability to undergo strain-induced crystallization.
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29.
The difficulty in dissolving cellulose in water, in spite of too many OH groups in it, is because of
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Answer: C —
Hydrogen bonding
Strong intermolecular hydrogen bonding between cellulose chains prevents dissolution in water.
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30.
If Tg of a polymer is close to ambient temperatures but melting point is high (i.e. more than 3/2 of its Tg), it means that the polymer is
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Answer: D —
crystalline and fibre
Polymers with high melting points relative to their Tg are typically semi-crystalline and used as fibres.
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31.
The difficulty in getting a fluorocarbon rubber based on homopolymers is due to
Show answer and explanation
Answer: C —
Crystallization tendency of the resulting polymer
Fluorocarbon homopolymers often exhibit high crystallinity, which makes them too rigid to be useful as rubbers.
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32.
Which rubber is prepared from another polymer?
Show answer and explanation
Answer: C —
CSM
CSM (Chlorosulphonated Polyethylene) is produced by the chemical modification of polyethylene.
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33.
A polymer which cannot be cross linked is
Show answer and explanation
Answer: B —
Poly isobutylene
Polyisobutylene lacks the unsaturation required for conventional sulfur vulcanization.
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34.
Chlorination of Natural rubber involves
Show answer and explanation
Answer: C —
Electrophilic addition and cyclisation
The chlorination of natural rubber is a complex process involving electrophilic addition and cyclization reactions.
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35.
When you get ethylene based rubbers, the resulting polymer gets a Tg above that of PE (assuming it to around -80C). This is because
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Answer: A —
rubberiness is achieved by breaking the crystallization of PE by adding bulky side chains
Disrupting the crystallinity of polyethylene with bulky side chains increases the Tg.
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36.
Apart from ageing resistance, anti oxidants may improve
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Answer: A —
Fatigue and abrasion resistance
Antioxidants help maintain the integrity of the polymer network, thereby improving fatigue and abrasion resistance.
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37.
High molecular weight in polymer chains lead to higher viscosity because of
Show answer and explanation
Answer: B —
More entanglements between chains above a critical molecular weight
Viscosity increases significantly with molecular weight due to increased chain entanglements.
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38.
Often, high temperature polymers will also be highly rigid because
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Answer: B —
They often have aromatic rings in the main chain (brydson, plastics materials p 584)
Aromatic rings in the polymer backbone restrict chain rotation, leading to high rigidity and thermal stability.
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39.
Among the following high temperature plastics _____________ has some crystallizing tendency
Show answer and explanation
Answer: B —
PEEK
PEEK (Polyether ether ketone) is a semi-crystalline thermoplastic known for its high-temperature performance.
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40.
Peroxide cured EPDM compounds are not suitable for microwave curing because
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Answer: B —
The bonds (including C-C cross links) in the rubbers do not produce dipole moments during vibration
Microwave curing relies on the interaction of electromagnetic waves with polar molecules; non-polar EPDM lacks sufficient dipole moments.
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41.
Inorganic blowing agents release
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Answer: A —
Carbon dioxide
Inorganic blowing agents like sodium bicarbonate typically release carbon dioxide upon decomposition.
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42.
The rubber used in tyre innreliner
Show answer and explanation
Answer: C —
Bromo butyl Rubber
Bromo butyl rubber is preferred for tyre innerliners due to its excellent air impermeability.
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43.
Metal oxide crosslinking used in
Show answer and explanation
Answer: B —
Chloroprene Rubbers
Chloroprene rubber (CR) is typically vulcanized using metal oxides like zinc oxide and magnesium oxide.
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44.
Flat spotting of the tyre occurs in
Show answer and explanation
Answer: D —
Nylon chords
Nylon cords are known to exhibit flat spotting, a temporary deformation that occurs when a vehicle is parked for a long time.
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45.
Upside down mixing is associated with
Show answer and explanation
Answer: D —
NBR
Upside down mixing is a technique used for rubbers that soften quickly or require specific dispersion characteristics, often applied to NBR.
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46.
Neutral angle for hose manufacturing
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Answer: A —
54º44'
The neutral angle for braided hoses is $54^{\circ}44'$ , which ensures the hose does not change length under pressure.
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47.
Conveyor belt crosslinked by
Show answer and explanation
Answer: C —
Both
Conveyor belts can be vulcanized using either rotocure (continuous) or press cure (batch) methods.
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48.
Hildebrand is the unit of
Show answer and explanation
Answer: C —
Solubility parameter
The Hildebrand solubility parameter is a measure of the cohesive energy density of a substance.
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49.
Resilience is inversely related to
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Answer: A —
Heat build up
High resilience indicates low energy loss, which corresponds to lower heat build-up during cyclic deformation.
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50.
The major metal present in sludge removed from latex is
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Answer: C —
Mg
Magnesium is a significant component found in the sludge of natural rubber latex.
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51.
What is the use of Potassium oleate in natural rubber latex foam?
Show answer and explanation
Answer: D —
Foam promoter
Potassium oleate acts as a soap or surfactant to promote foam formation in latex processing.
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52.
Which is used as an anti-coagulating agent
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Answer: D —
All of the above
Ammonia, formalin, and sodium sulphite are all used as preservatives or anti-coagulants for natural rubber latex.
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53.
Which type of wheels is preferred for sports cars
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Answer: C —
Magnesium wheel
Magnesium wheels are preferred in sports cars for their high strength-to-weight ratio.
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54.
What do the permissible of mixing cross ply and radial ply automibile tyres allow?
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Answer: C —
Cross ply tyres on front wheels
Safety regulations generally dictate that if mixing is necessary, cross-ply tyres should be on the front axle and radials on the rear.
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55.
What is GRS?
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Answer: B —
Styrene butadiene rubber
GRS stands for Government Rubber Styrene, which is a type of Styrene Butadiene Rubber (SBR).
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56.
Electrodeposition process related to which product?
Show answer and explanation
Answer: C —
Gloves
Electrodeposition (or electro-dipping) is a common process for manufacturing rubber gloves.
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57.
Material used in tyre-cord adhesive is
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Answer: A —
Styrene-vinylpyridine-butadiene terpolymer latices
Vinylpyridine latex is the standard adhesive used to bond rubber to tyre cords.
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58.
Which of the following are examples of natural ﬁbers?\n(i) Nylon\n(ii) Jute\n(iii) Polyester\n(iv) Sisal
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Answer: B —
(ii) and (iv)
Jute and Sisal are natural plant-based fibers, while Nylon and Polyester are synthetic.
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59.
What is the most widely used man-made ﬁber?
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Answer: A —
Polyester
Polyester is the most widely produced and used synthetic fiber globally.
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60.
A common matrix material used in FRP is
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Answer: C —
Epoxy resin
Epoxy resins are widely used as matrix materials in Fiber Reinforced Plastics (FRP) due to their excellent mechanical properties.
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61.
The dispersed phase in common ﬁber reinforced plastic is
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Answer: C —
Aramid ﬁber
While glass, carbon, and aramid are all used, the question context implies a choice where C is the marked answer.
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62.
Melting point is the characteristics of
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Answer: B —
Crystalline polymers
A distinct melting point is a characteristic feature of crystalline and semi-crystalline polymers.
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63.
Dibutyl phalate, Tricresyl phosphate are all example of
Show answer and explanation
Answer: B —
Plasticizer
Dibutyl phthalate (DBP) and tricresyl phosphate (TCP) are common plasticizers.
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64.
Name a self-extinguishing thermoplastic material
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Answer: C —
PVC
PVC (Polyvinyl chloride) contains chlorine, which imparts self-extinguishing properties.
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65.
Which one of the following materials is used for making CD?
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Answer: D —
PC
Polycarbonate (PC) is primarily used for manufacturing optical discs like compact discs (CDs).
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66.
High temperature, high performance polymeric materials are called ___________ polymers
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Answer: C —
Specialty
High temperature and high performance polymers are categorized as specialty polymers.
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67.
Which one of the following is a natural polymer?
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Answer: A —
Shellac
Shellac is a natural resin secreted by the female lac bug.
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68.
Phenol and formaldehyde molar ration for resol synthesis is ______________ under basic medium
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Answer: C —
1:1.5
Resols are prepared using an excess of formaldehyde, typically with a phenol to formaldehyde molar ratio around 1:1.5 under basic conditions.
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69.
One of the important joining techniques used for thermoplastic and will produce a permanently bonded and aesthetically pleasing joint
Show answer and explanation
Answer: D —
Ultrasonic welding
Ultrasonic welding produces clean, aesthetically pleasing, and permanent joints in thermoplastics rapidly.
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70.
Which of the following could be made from HDPE
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Answer: D —
All of these
High-Density Polyethylene (HDPE) is versatile and used for pipes, water tanks, and crates.
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71.
Processing temperature of PP for below moulding
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Answer: B —
200-220
The processing temperature for polypropylene (PP) in blow molding typically ranges around 200-220 °C.
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72.
For pipe application PVC is manufactured by _____________ polymerization
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Answer: A —
Suspension polymerization
Suspension polymerization is the standard industrial method to produce PVC used for rigid pipe applications.
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73.
Natural polyol used for the production of polyurethane foam
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Answer: A —
Castor oil
Castor oil is a naturally occurring vegetable oil polyol used in polyurethane formulations.
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74.
Which of the following is amino plastic?
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Answer: C —
UF
Urea-formaldehyde (UF) resin is a prominent example of an aminoplast.
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75.
PPO can be used in steam autoclave because of its
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Answer: A —
High hydrolytic stability
Polyphenylene oxide (PPO) exhibits excellent resistance to water and high hydrolytic stability.
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76.
A major disadvantage of mill mixing as compared to internal mixer is
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Answer: A —
It is time consuming and depends upon the skill of the operator
Open mill mixing is labor-intensive, time-consuming, and heavily relies on operator expertise compared to automated internal mixers.
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77.
From the point of view of ingredients, the following physical changes occur during a mixing cycle
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Answer: B —
Incorporation, dispersion, distribution and plasticization
The fundamental physical steps during compounding mixing involve incorporation, dispersion, distribution, and plasticization.
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78.
Increase in the rotor speed of an internal mixer will result in
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Answer: A —
Increase in the temperature of cooling water
Higher rotor speeds generate more frictional heat, thereby increasing the cooling water temperature requirement.
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79.
To measure the stock temperature inside a Banbury mixer, the device used is
Show answer and explanation
Answer: C —
A thermocouple
Thermocouples are standard for measuring internal temperatures in mixing equipment due to their reliability and response time.
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80.
Crows feet is related to ____________ process
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Answer: D —
Calendaring
Crows feet is a common surface defect encountered in the calendering process.
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81.
Frictioning in a calendar involves
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Answer: C —
Forcing the rubber into the interstices between fibers of a fabric through wiping with roll pressure between the middle and bottom rolls
Frictioning is a calendering operation where rubber is forced into the fabric weave by differential roll speeds.
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82.
To produce thick rubber sheeting, it is preferable to use
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Answer: D —
An extruder with roller head
An extruder with a roller head die is highly effective for producing thick, uniform rubber sheets.
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83.
Continuous vulcanization of an extruded sponge profile can be done by
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Answer: B —
Microwave curing
Microwave curing is widely used for the continuous vulcanization of extruded rubber profiles, especially sponge profiles.
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84.
Which of the following curing technique has highest heat transfer coefficient?
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Answer: D —
Liquid curing method
Liquid Curing Method (LCM) uses molten salts which provide a much higher heat transfer coefficient compared to air-based methods.
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85.
The usual formula for calculation of tensile strength of rubber compound is
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Answer: C —
Breaking load/original cross sectional area of the sample
Tensile strength is defined as the maximum load at break divided by the original cross-sectional area of the test specimen.
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86.
Troughability test is required in
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Answer: D —
Conveyor belt
Troughability measures the ability of a conveyor belt to form a trough shape to carry materials effectively.
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87.
_______ and _______ monomers are used in reactions injection molding process
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Answer: C —
Diisocyanate and polyol
Reaction Injection Molding (RIM) for polyurethanes typically involves the reaction between diisocyanates and polyols.
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88.
Aniline point testing method is used for
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Answer: D —
Process oil
The aniline point is a measure of the aromatic content of process oils used in rubber compounding.
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89.
The most common standard conditioning atmosphere is
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Answer: A —
23°C and 50% relative humidity
Standard laboratory conditioning for rubber and plastic testing is typically 23°C ± 2°C and 50% ± 5% relative humidity.
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90.
The crosshead speed/strain rate used to for tensile testing of brittle materials like polystyrene is
Show answer and explanation
Answer: C —
5 mm/min
For brittle materials, lower crosshead speeds are used to ensure accurate measurement of tensile properties before failure.
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91.
In HDT test, a deadweight load is applied at the center of the specimen which is sufficient to produce a maximum fiber stress of
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Answer: B —
264 psi
The Heat Deflection Temperature (HDT) test standard (ASTM D648) specifies a fiber stress of 264 psi (1.82 MPa) or 66 psi (0.45 MPa).
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92.
____________ is used to measure the curing characteristics of the rubber compounds
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Answer: B —
Moving die rheometer
A Moving Die Rheometer (MDR) is the standard instrument for measuring the vulcanization (curing) characteristics of rubber compounds.
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93.
Which property is more important for seals
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Answer: C —
Stress relaxation
Stress relaxation is critical for seals because they must maintain a constant sealing force over time under compression.
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