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GATE 2016
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Q. 1 – Q. 5 carry one mark each.
-  The chairman requested the aggrieved shareholders to __________ him. - bare with
- bore with
- bear with
- bare
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-  Identify the correct spelling out of the given options: - Managable
- Manageable
- Mangaeble
- Managible
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-  Pick the odd one out in the following: 13, 23, 33, 43, 53 - 23
- 33
- 43
- 53
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-  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? --- Content provided by FirstRanker.com --- - R2D2 is a robot which can only repair aeroplanes.
- R2D2 is the only robot which can repair aeroplanes.
- R2D2 is a robot which can repair only aeroplanes.
- Only R2D2 is a robot.
 
-  If |9y-6|=3, then y²-4y/3 is - 0
- +1/3
- -1/3
- undefined
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Firstranker's choice
GATE 2016
Q. 6 – Q. 10 carry two marks each.
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-  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 __________ 
-  A poll of students appearing for masters 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 logically inferred from the above paragraph? - Many students have misconceptions regarding various engineering disciplines.
- Men with advanced degrees in mechanical engineering believe women are well suited to be mechanical engineers.
- Mechanical engineering is a profession well suited for women with masters or higher degrees in mechanical engineering.
- The number of women pursuing higher degrees in mechanical engineering is small.
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-  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, - In the initial years, SIT students will get degrees from IIT.
- SITs will have a distinct national objective.
- SIT like institutions can only be established in consultation with IIT.
- SITs will serve technological needs of a developing country.
 --- Content provided by FirstRanker.com --- - (iii) and (iv) only.
- (i) and (iv) only.
- (ii) and (iv) only.
- (ii) and (iii) only.
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-  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? - 0.2508
- 0.2816
- 0.2934
- 0.6000
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-  The numeral in the units position of 211870 + 146127 × 3424 is __________ --- Content provided by FirstRanker.com --- 
END OF THE QUESTION PAPER
Firstranker's choice
GATE 2016
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Textile Engineering and Fibre Science
Q. 1 – Q. 25 carry one mark each.
-  The following partial differential equation Uxx + Uyy = 0 is of the type - Elliptic
- Parabolic
- Hyperbolic
- Mixed type
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-  Which of the following is a multi-step numerical method for solving the ordinary differential equation? - Euler method
- Improved Euler method
- Runge-Kutta method
- Adams-Multon method
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-  Let X be a normally distributed random variable with mean 2 and variance 4. Then, the mean of (X-2)/2 is equal to --- Content provided by FirstRanker.com --- 
-  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? - Threonine
- Serine
- Cystine
- Tryosine
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-  Which one of the following stereo structures of propylene is (are) used for commercial fibre manufacture? --- Content provided by FirstRanker.com --- - Atactic
- Syndiotactic
- Isotactic & Syndiotactic
- Isotactic
 
-  Acrylic fibre has high glass transition temperature (Tg ˜ 100°C) primarily due to - Presence of polar side groups
- Presence of bulky side groups
- High crystallinity
- Main chain stiffness
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-  In which of the following polymerization methods the rate of reaction is very high and leads to uncontrolled polymerization? - Solution polymerization
- Suspension polymerization
- Bulk polymerization
- Emulsion polymerization
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-  Which of the following textile strands is the finest? - 30s Ne
- 30 denier
- 30 tex
- 30s Nm
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-  In a carding machine, in which of the following zones the fibre alignment is negatively affected to the maximum extent? - Cylinder to flats carding region
- Licker-in to cylinder transfer region
- Cylinder to doffer transfer region
- Doffer to calendar roller region
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-  Which of the following is the correct sequence of events which happen in a roller drafting zone? --- Content provided by FirstRanker.com --- - Fibre elongation-fibre decrimping- fibre sliding
- Fibre sliding-fibre elongation-fibre decrimping
- Fibre decrimping- fibre sliding- fibre elongation
- Fibre decrimping- fibre elongation- fibre sliding
 
-  In which region of ring spinning, Coriolis force acts? - Lappet to ring cop
- Delivery pair of drafting rollers to lappet
- Back pair of drafting rollers to delivery pair of drafting rollers
- Feed bobbin to back pair of drafting rollers
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-  Which of the following shuttleless weaving systems can offer maximum fabric width? - Air jet
- Water jet
- Projectile
- Rapier
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-  The filling yarn density at selvage is doubled in case of - Fringe selvage
- Tucked-in selvage
- Shuttle selvage
- Leno selvage
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-  Which of the following shedding mechanisms provides control of individual warp thread during weaving? - Crank
- Tappet
- Dobby
- Jacquard
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-  The time required (minutes) to wind 10 kg of 40 yarn when the winding machine works at 1000 m/min with an efficiency of 90% is __________ --- Content provided by FirstRanker.com --- 
-  The test statistic to be used for carrying out a test of hypothesis on the mean of a normal distribution with unknown variance is - Z
- T
- x²
- F
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-  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 - increase by 2 times
- decrease by 2 times
- increase by 4 times
- decrease by 4 times
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-  Q.19 A comb sorter diagram of cotton fibres is shown below: where OM=0.5 ?, ?=0.25 OC, AN=0.5 AA', and OB=0.25 OD. The effective length is --- Content provided by FirstRanker.com --- - AA'
- BB'
- CC'
- DD'
 
-  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 __________ 
-  A sector-shaped, falling-pendulum type apparatus is suitable for measurement of - Elmendorf tear strength
- Tongue tear strength
- Trapezoidal tear strength
- All of them
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-  Sodium persulphate is used in - Bleaching
- Scouring
- Mercerization
- Desizing
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-  Polyester is dyed with a disperse dye at 100 °C and 120°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 --- Content provided by FirstRanker.com --- 
-  A dye with dischargeability rating of 1 (one) WILL NOT be suitable for - Resist printing
- Direct printing
- Discharge printing
- Melt transfer printing
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-  The enzyme used for biopolishing of cotton is - Cellulase
- Pectinase
- Amylase
- Lipase
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Q. 26 – Q. 55 carry two marks each.
-  The eigen values and eigen vectors of [ ] are - ±5 and (2), (2) respectively.
- ±3 and (2), (3) respectively.
- ±4 and (2), (2) respectively.
- ±5 and (1), (2) respectively.
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-  Let f(x, y, z) = 1/v(x2+y2+z2) The value of ?2f/?x2 + ?2f/?y2 + ?2f/?z2 is equal to __________ --- Content provided by FirstRanker.com --- 
-  Let X be a continuous type random variable with probability density function f(x) = { 1-x/4 -1 = x = 3 otherwise When P(X = x) = 0.75, the value of x is equal to __________ 
-  The integrating factor of (2 cos y + 4x²)dx – x sin y dy = 0 is - -x
- x
- x²
- -x²
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-  The Fourier series of periodic function f(x) = { 1-k -p < x < 0 lk 0 < x < p Then, the value of by(sinx + sin 3x + sin 5x and f(x + 2p) = f(x) is given to is equal __________ 
-  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. Column A Column B P. Polypropylene 1. Carbon disulfide Q. Polyethylene Terephthalate 2. Water R. Nylon 6 3. Ziegler Natta catalyst S. Viscose 4. Antimony trioxide & Antimony triacetate - P-4,Q-1,R-2,S-3
- P-3,Q-4,R-2,S-1
- P-3,Q-4,R-1,S-2
- P-2,Q-1,R-3,S-4
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-  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. - [a] is right and [r] is wrong
- [a] is right and [r] is right
- [a] is wrong and [r] is wrong
- [a] is wrong and [r] is right
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-  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. --- Content provided by FirstRanker.com --- 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 - P,S
- P,R
- Q,S
- Q,R
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-  Which of the following combination of statements from options A, B, C and D is correct? --- Content provided by FirstRanker.com --- - X-ray Diffraction gives information about crystallinity and crystal size in semicrystalline polymers.
- Differential Scanning Calorimetery gives information about Tg, Tm and Tc as well as enthalpy of melting and crystallization.
- In Scanning Electron Microscopy the sample has to be coated with silver to make it conducting.
- Birefringence is a measure of molecular orientation in amorphous phase only.
 - 1, 2 and 3 are correct
- 1, 3 and 4 are correct
- 2, 3 and 4 are correct
- All are correct
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-  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. --- Content provided by FirstRanker.com --- Column A Column B P. Rayon 1. Dry-jet-wet spinning Q. Aramid (Kevlar) 2. Gel Spinning R. Ultra High Molecular weight Polyethylene 3. Melt spinning S. Polyester 4. Wet Spinning - P-3,Q-1,R-2,S-4
- P-1,Q-3,R-4,S-2
- P-4,Q-2,R-1,S-3
- P-4,Q-1,R-2,S-3
 
-  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 __________ 
-  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 __________ 
-  Consider the following assertion [a] and reason [r] and choose the correct alternative from amongst A, B, C and D. --- Content provided by FirstRanker.com --- [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. - [a] is right and [r] is wrong
- [a] is right and [r] is right
- [a] is wrong and [r] is wrong
- [a] is wrong and [r] is right
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-  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 __________ 
-  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/cm³, is __________ --- Content provided by FirstRanker.com --- 
-  In needle punching process, higher punch density CAN NOT cause - Lower web thickness
- Higher change of fabric dimensions
- Higher damage of fibres
- Higher permeability of fabric
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-  Which of the following features IS NOT found in a crepe weave - Highly irregular surface-puckered in appearance
- Prominent twill effect on the fabric
- Minute spots or seeds spread over the fabric
- High twist yarn with controlled shrinkage
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-  The crimp% of a square cloth in which thread spacing is equal to the yarn diameter and no jamming takes place, will be __________ 
-  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 __________ 
-  The least desired feature of fibre in wet laid nonwoven fabric is - High affinity for water
- Low aspect ratio
- High flexural rigidity
- Low crimpiness
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-  The surface area per unit volume (mm-1) of a circular polyester fibre of 1.5 denier fineness and 1.38 g/cm³ density, ignoring the fibre ends, is __________ 
-  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/cm³, is __________ 
-  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 __________ 
-  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 __________ --- Content provided by FirstRanker.com --- 
-  The flexural rigidity, expressed in 10-4 mg-cm, of a fabric test specimen of 100 g/m² areal density and 0.40 mm length of overhang determined using a cantilever test with a standard angle of deflection of 41.5°, is __________ 
-  The volume strength of 1 molar H2O2 solution will be __________ 
-  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. - [a] is right and [r] is wrong
- [a] is right and [r] is right
- [a] is wrong and [r] is wrong
- [a] is wrong and [r] is right
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-  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 __________ 
-  Consider the following assertion [a] and reason and choose the correct alternative from amongst A, B, C and D. [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. - [a] is right and [r] is wrong
- [a] is right and [r] is right
- [a] is wrong and [r] is wrong
- [a] is wrong and [r] is right
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-  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. Column A Column B P. Pigment printing 1. Disperse dye Q. Discharge printing 2. Binder R. Resist printing 3. High solids content thickener S. Sublimation transfer printing 4. Sodium formaldehyde sulphoxylate - P-2,Q-3,R-4,S-1
- P-2,Q-4,R-3,S-1
- P-2,Q-4,R-1,S-3
- P-1,Q-4,R-3,S-2
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END OF THE QUESTION PAPER
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