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Typology: Exams
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Duration : Three Hours Maximum Marks : 100
Read the following instructions carefully.
pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question.
Q. 1 – Q. 25 carry one mark each.
Q.1 Consider the following set of linear algebraic equations 1 2 3
2 3 2 3
The system has
(A) a unique solution (B) no solution (C) an infinite number of solutions (D) only the trivial solution
2
is
Q.3 For the function
/
t
2
Q.4 A box containing 10 identical compartments has 6 red balls and 2 blue balls. If each compartment can hold only one ball, then the number of different possible arrangements are
Q.5 Consider the following (^) 2 (^2) matrix
Which one of the following vectors is NOT a valid eigenvector of the above matrix?
capacities at constant pressure and constant volume, respectively ( CP CV ), the specific volume will change by a factor of
sphere is doubled, the time required to reach steady-state will be
quality of the feed is
(A) super-heated vapor (B) liquid below bubble point (C) saturated vapor (D) saturated liquid
Q.18 For which of the following combinations, does the absorption operation become gas-film controlled? P. The solubility of gas in the liquid is very high Q. The solubility of gas in the liquid is very low R. The liquid-side mass transfer coefficient is much higher than the gas-side mass transfer coefficient
coefficient
(A) P & Q (B) P & R (C) P & S (D) Q & R
Q.19 The half-life of an nth^ order reaction in a batch reactor depends on
(A) only the rate constant (B) only the rate constant and the order of the reaction (C) only the rate constant and the initial reactant concentration (D) the rate constant, initial reactant concentration, and the order of the reaction
Q.20 Consider the reaction scheme shown below
respectively. To maximize the yield of B, it is preferable to use
(A) CSTR and high temperature (B) PFR and high temperature (C) CSTR and low temperature (D) PFR and low temperature
Q.21 In petroleum refining, catalytic reforming is used to convert
(A) Paraffins and naphthenes to aromatics (B) Paraffins to hydrogen and carbon monoxide
(C) Gas oil to diesel and gasoline (D) Light olefins to gasoline
Q.22 The final boiling points of gasoline, diesel, atmospheric gas oil (AGO) and lubricating oils vary as
(A) gasoline > diesel > AGO > lubricating oils (B) lubricating oils > AGO > diesel > gasoline (C) AGO > lubricating oils > diesel > gasoline (D) lubricating oils > diesel > AGO > gasoline
Q.23 The main unit processes used for the production of hydrogen from natural gas are steam reforming (SR), pressure swing adsorption (PSA), low temperature water gas shift reaction (LT WGS) and high temperature water gas shift reaction (HT WGS). The correct sequence of these in the plant is
(A) SR; LT WGS; HT WGS; PSA (B) PSA; SR; LT WGS; HT WGS (C) SR; HT WGS; LT WGS; PSA (D) PSA; HT WGS; LT WGS; SR
recorded temperature is 130°C after 1 minute, then the time constant of thermometer (in min) is
(A) 1.98 (B) 1.35 (C) 1.26 (D) 1.
Q.25 The Bode stability criterion is applicable when
(A) Gain and phase curves decrease continuously with frequency (B) Gain curve increases and phase curve decreases with frequency (C) Gain curve and phase curve both increase with frequency (D) Gain curve decreases and phase curve increases with frequency
the entropy change of mixing (^) S R x 1 (^) ln x 1 (^) x 2 (^) ln x 2 (with (^) R = 8.314 J/mol.K), then the minimum value of the Gibbs free energy change of mixing at 300 K occurs when
Q.32 A bed of spherical glass beads (density 3000 kg/m^3 , diameter 1 mm, bed porosity 0.5) is to be fluidized by a liquid of density 1000 kg/m^3 and viscosity 0.1 Pa.s. Assume that the Reynolds
minimum velocity (in m/s) required to fluidize the bed is
(A) 4
1
1
1
Q.34 Heat is generated at a steady rate of 100 W due to resistance heating in a long wire (length = 5 m, diameter = 2 mm). This wire is wrapped with an insulation of thickness 1 mm that has a thermal conductivity of 0.1 W/m.K. The insulated wire is exposed to air at 30°C. The convective heat transfer between the wire and surrounding air is characterized by a heat transfer coefficient of 10 W/m^2 .K. The temperature (in °C) at the interface between the wire and the insulation is
(A) 211.2 (B) 242.1 (C) 311.2 (D) 484.
radius of the inner tube is 3 cm and its length is 5 m. Neglecting the wall resistance, the overall heat transfer coefficient based on the inner radius, in kW/ m^2 .K, is
(A) 0.743 (B) 7.43 (C) 74.3 (D) 2475
Q.36 The rate-controlling step for the solid-catalyzed irreversible reaction
form of the Langmuir-Hinshelwood rate expression will be
(A) rate
A B A A B B C C
(B) rate
2
A B
A A B B C C
(C) rate
A B
A A B B C C
(D) rate A^ B C
Q.37 Consider the drying operation shown in the figure below for a solid loading (dry basis) of 50 kg/m^2 with a constant drying rate of 5 kg/m^2 .h. The falling rate of drying is linear with moisture content.
Drying Rate
Moisture (kg H 2 O/kg dry solid)
Xe Xc
Xc = 0. Xe = 0.
Drying Rate
Moisture (kg H 2 O/kg dry solid)
Xe Xc
Xc = 0. Xe = 0.
The drying time (in hrs) required to reduce an initial moisture content of 25% to a final moisture content of 2% is
(A) 1.55 (B) 1.75 (C) 3.25 (D) 4.
Q.38 An equimolar mixture of A and B (A being more volatile) is flash distilled continuously at a feed rate of 100 kmol/h, such that the liquid product contains 40 mol % of A. If the relative volatility is 6, then the vapor product, in kmol/h, is
(A) 10 (B) 20 (C) 25 (D) 45
Q.39 A thermocouple having a linear relationship between 0 oC and 350 oC shows an emf of zero and 30.5 mV, respectively at these two temperatures. If the cold junction temperature is shifted from 0 oC to 30 oC, then the emf correction (in mV) is
(A) 3.13 (B) 2.92 (C) 2.61 (D) 2.
integer) is
(A) 748 (B) 873 (C) 953 (D) 1148
net energy savings of 20 GJ per year. If the nominal rate of interest is 15% and the plant life is 3 years, then the breakeven cost of energy, in Rs. per GJ (adjusted to the nearest hundred), is
(A) 33500 (B) 43800 (C) 54200 (D) 65400
Q.45 In a 1-1 pass floating head type shell and tube heat exchanger, the tubes (od = 25 mm; id = 21 mm) are arranged in a square pitch. The tube pitch is 32 mm. The thermal conductivity of the shell side fluid is 0.19 W/m.K, and the Nusselt number is 200. The shell-side heat transfer coefficient (in W/m^2 .K), rounded off to the nearest integer, is
(A) 1100 (B) 1400 (C) 1800 (D) 2100
Q.46 Match the process in Group I with the catalyst in Group II
Group I P. Fischer-Tropsch synthesis Q. Formaldehyde from methanol R. Hydrogenation of vegetable oils S. Dehydrogenation of ethylbenzene
Group II I. Nickel II. Fe 2 O 3 III. Silver IV. Cobalt
Q.47 Match the polymer in Group I to the polymer characteristic in Group II
Group I P. Polyethylene Q. Phenol-formaldehyde polymer R. Polyisoprene S. Polyester
Group II I. Elastomer II. Fiber III. Thermoplastic IV. Thermosetting polymer
Common Data for Questions 48 and 49:
A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt %,
Q.48 The minimum flow rate of solvent B required (in kg/h) is
Q.49 If the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, using Kremser’s equation (adjusted to the next integer) is
(A) 5 (B) 9 (C) 11 (D) 13
Common Data for Questions 50 and 51:
below
Y RB , F RG
Reactor
F FB
Separator
F B
F A
F PG
F C
Y RB , F RG
Reactor
F FB
Separator
F B
F A
F PG
F C
Notation:
Q.50 (^) If Y RB= 0.3, the ratio of recycle gas to purge gas (^) F RG (^) F PGis (A) 2 (B) 5 (C) 7 (D) 10
Q.51 (^) If the ratio of recycle gas to purge gas F RG (^) F PGis 4 then Y RBis
General Aptitude (GA) Questions
Q. 56 – Q. 60 carry one mark each.
Q.56 Which one of the following options is the closest in meaning to the word given below?
Mitigate
(A) Diminish (B) Divulge (C) Dedicate (D) Denote
Q.57 Choose the most appropriate alternative from the options given below to complete the following sentence:
Despite several (^) ––––––––– the mission succeeded in its attempt to resolve the conflict.
(A) attempts (B) setbacks (C) meetings (D) delegations
Q.58 The cost function for a product in a firm is given by 5q^2 , where q is the amount of production. The firm can sell the product at a market price of 50 per unit. The number of units to be produced by the firm such that the profit is maximized is
(A) 5 (B) 10 (C) 15 (D) 25
Q.59 Choose the most appropriate alternative from the options given below to complete the following sentence:
Suresh’s dog is the one (^) ––––––––– was hurt in the stampede.
(A) that (B) which (C) who (D) whom
Q.60 Choose the grammatically INCORRECT sentence:
(A) They gave us the money back less the service charges of Three Hundred rupees. (B) This country’s expenditure is not less than that of Bangladesh. (C) The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum. (D) This country’s expenditure on educational reforms is very less.
Q. 61 - Q. 65 carry two marks each.
Q.61 An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable.
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
(A) 0.288 (B) 0.334 (C) 0.667 (D) 0.
Q.62 A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x – 0.1x^2 where y is the height of the arch in meters. The maximum possible height of the arch is
(A) 8 meters (B) 10 meters (C) 12 meters (D) 14 meters
Q.63 Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.
Which one of the following is the best inference from the above advertisement?
(A) Gender-discriminatory (B) Xenophobic (C) Not designed to make the post attractive (D) Not gender-discriminatory
Q.64 Given the sequence of terms, AD CG FK JP, the next term is
(A) OV (B) OW (C) PV (D) PW
Q.65 Which of the following assertions are CORRECT?
P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged
(A) P, Q (B) Q, R (C) P, R (D) R, S