Q. 1 – Q. 5 carry one mark each.
Q.1 The volume of a sphere of diameter 1 unit is ________ than the volume of a cube of side 1 unit.
(A) least (B) less (C) lesser (D) low
Ans:: B) Less
Q.2 The unruly crowd demanded that the accused be _____________ without trial.
(A) hanged (B) hanging (C) hankering (D) hung
Ana:: A) Hanged
Q.3 Choose the statement(s) where the underlined word is used correctly:
(i) A prone is a dried plum.
(ii) He was lying prone on the floor.
(iii) People who eat a lot of fat are prone to heart disease
(A) (i) and (iii) only (B) (iii) only (C) (i) and (ii) only (D) (ii) and (iii) only
And:: B) 3 only
Q.4 Fact: If it rains, then the field is wet.
Read the following statements:
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?
(A) If (iii), then (iv).
(B) If (i), then (iii).
(C) If (i), then (ii).
(D) If (ii), then (iv).
Q.1 The volume of a sphere of diameter 1 unit is ________ than the volume of a cube of side 1 unit.
(A) least (B) less (C) lesser (D) low
Ans:: B) Less
Q.2 The unruly crowd demanded that the accused be _____________ without trial.
(A) hanged (B) hanging (C) hankering (D) hung
Ana:: A) Hanged
Q.3 Choose the statement(s) where the underlined word is used correctly:
(i) A prone is a dried plum.
(ii) He was lying prone on the floor.
(iii) People who eat a lot of fat are prone to heart disease
(A) (i) and (iii) only (B) (iii) only (C) (i) and (ii) only (D) (ii) and (iii) only
And:: B) 3 only
Q.4 Fact: If it rains, then the field is wet.
Read the following statements:
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?
(A) If (iii), then (iv).
(B) If (i), then (iii).
(C) If (i), then (ii).
(D) If (ii), then (iv).
And:: C)
Q.5 A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 m, the area of the window in m2 is ___________.
(A) 1.43 (B) 2.06 (C) 2.68 (D) 2.88
Ans:: C)
Ans:: D)
Q.17
What is the natural period of oscillation (in seconds) of the system?
(A) 15.9 (B) 50 (C) 63.2 (D) 100
Ans:: D) 100
Q. 6 – Q. 10 carry two marks each
Q.6 Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of 200 marks. It was observed that the mean of group P was 105, while that of group Q was 85. The standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?
(A) No student in group Q scored less marks than any student in group P.
(B) No student in group P scored less marks than any student in group Q.
(C) Most students of group Q scored marks in a narrower range than students in group P.
(D) The median of the marks of group P is 100.
Q.7. A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the city, something which critics argue, will lead to a surveillance state.
Which of the following can be logically inferred from the above paragraph?
(i) All smart cities encourage the formation of surveillance states.
(ii) Surveillance is an integral part of a smart city.
(iii) Sustainability and surveillance go hand in hand in a smart city.
(iv) There is a perception that smart cities promote surveillance.
(A) (i) and (iv) only. (B) (ii) and (iii) only
(C) (iv) only. (D) (i) only
Q.8 Find the missing sequence in the letter series.
B, FH, LNP, _ _ _ _.
(A) SUWY (B) TUVW. (C) TVXZ. (D) TWXZ
Q.9 The binary operation □ is defined as a □ b = ab+(a+b), where a and b are any two real numbers. The value of the identity element of this operation, defined as the number x such that a □ x = a, for any a, is .
(A) 0 (B) 1. (C) 2. (D) 10
Ans:: A) 0
Q.10. No solution available for this question.
END OF THE QUESTION PAPER
::Chemical Engineering Section::
Q. 1 – Q. 25 carry one mark each.
Q.1 Which one of the following is an iterative technique for solving a system of simultaneous linear algebraic equations?
(A) Gauss elimination
(B) Gauss-Jordan
(C) Gauss-Seidel
(D) LU decomposition
And:: D)
Q.4 A liquid mixture of ethanol and water is flowing as inlet stream P into a stream splitter. It is split into two streams, Q and R, as shown in the figure below.
The flowrate of P, containing 30 mass% of ethanol, is 100 kg/h. What is the least number of additional specification(s) required to determine the mass flowrates and compositions (mass%) of the two exit streams?
(A) 0 (B) 1 (C) 2. (D) 3
Ans:: B)
Q.7
In a cyclone separator used for separation of solid particles from a dust laden gas, the separation factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle. Sr denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of the cyclone. Which one of the following statements is INCORRECT?
(A) S r depends on mass of the particle
(B) S rdepends on the acceleration due to gravity (C) S r depends on tangential velocity of the particle
(D) S rdepends on the radial location ( r ) of the particle
Ans:: B)
Q.8. A vertical cylindrical vessel has a layer of kerosene (of density 800 kg/m3) over a layer of water (of density 1000 kg/m3). L-shaped glass tubes are connected to the column 30 cm apart. The interface between the two layers lies between the two points at which the L-tubes are connected. The levels (in cm) to which the liquids rise in the respective tubes are shown in the figure below.
The distance (x in cm, rounded off to the first decimal place) of the interface from the point at which the lower L-tube is connected is _______
Ans:: 19.9 cm
Q.11. A binary liquid mixture of benzene and toluene contains 20 mol% of benzene. At 350 K the vapour pressures of pure benzene and pure toluene are 92 kPa and 35 kPa, respectively. The mixture follows Raoult’s law. The equilibrium vapour phase mole fraction (rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is _______
Ans:: 0.39
Ans:: 0.39
Q.13 For what value of Lewis number, the wet-bulb temperature and adiabatic saturation temperature are nearly equal?
(A) 0.33 (B) 0.5 (C) 1. (D) 2
Ans:: C)
Q.15 The variations of the concentrations (CA, CR and CS) for three species (A, R and S) with time, in an isothermal homogeneous batch reactor are shown in the figure below.
Select the reaction scheme that correctly represents the above plot. The numbers in the reaction schemes shown below, represent the first order rate constants in unit of s‒1.
Ans:: C)
Q.17
Ans:: D)
Q.16 Hydrogen iodide decomposes through the reaction 2HI⇋ H2 + I2. The value of the universal gas constant R is 8.314 J mol‒1K‒1. The activation energy for the forward reaction is 184000 J mol‒1. The ratio (rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is _______
Ans:: 28.6
Q.18 What is the order of response exhibited by a U-tube manometer?
(A) Zero order
(C) Second order
(B) First order
(D) Third order
Ans:: c)
Q.19 A system exhibits inverse response for a unit step change in the input. Which one of the following statement must necessarily be satisfied?
(A) The transfer function of the system has at least one negative pole
(B) The transfer function of the system has at least one positive pole
(C) The transfer function of the system has at least one negative zero
(D) The transfer function of the system has at least one positive zero
Ans:: A)
Ans:: A) 40
Q.21 Standard pipes of different schedule numbers and standard tubes of different BWG numbers are available in the market. For a pipe / tube of a given nominal diameter, which one of the following statements is TRUE?
(A) Wall thickness increases with increase in both the schedule number and the BWG number
(B) Wall thickness increases with increase in the schedule number and decreases with increase in the BWG number
(C) Wall thickness decreases with increase in both the schedule number and the BWG number
(D) Neither the schedule number, nor the BWG number has any relation to wall thickness
Ans:: B)
Q.22 Terms used in engineering economics have standard definitions and interpretations. Which one of the following statements is INCORRECT?
(A) The profitability measure ‘return on investment’ does not consider the time value of money
(B) A cost index is an index value for a given time showing the cost at that time relative to a certain base time
(C) The ‘six-tenths factor rule’ is used to estimate the cost of an equipment from the cost of a similar equipment with a different capacity
(D) Payback period is calculated based on the payback time for the sum of the fixed and the working capital investment
Ans:: D)
Q.23 India has no elemental sulphur deposits that can be economically exploited. In India, which one of the following industries produces elemental sulphur as a by-product?
(A) Coal carbonisation plants
(C) Paper and pulp industries
(B) Petroleum refineries
(D) Iron and steel making plants
Ans:: D)
Q.25
Ans:: A)
Q.31 A jacketed stirred tank with a provision for heat removal is used to mix sulphuric acid and water in a steady state flow process. H2SO4 (l) enters at a rate of 4 kg/h at 25oC and H2O (l) enters at a rate of 6 kg/h at 10oC. The following data are available:
Specific heat capacity of water = 4.2 kJ kg‒1K‒1. Specific heat capacity of aqueous solution of 40 mass% H2SO4 = 2.8 kJ (kg solution)‒1 K‒1.
Assume the specific heat capacities to be independent of temperature.
Based on reference states of H2SO4 (l) and H2O (l) at 25oC, the heat of mixing for aqueous solution of 40 mass% H2SO4 = ‒ 650 kJ (kg H2SO4)‒1.
If the mixed stream leaves at 40oC, what is the rate of heat removal (in kJ/h)?
(A) 1802 (B) 2558. (C) 5702. (D) 6458
Ans:: A)
Q.32 An ideal gas is adiabatically and irreversibly compressed from 3 bar and 300 K to 6 bar in a closed system. The work required for the irreversible compression is 1.5 times the work that is required for reversible compression from the same initial temperature and pressure to the same final pressure. The molar heat capacity of the gas at constant volume is 30 J mol‒1 K‒1 (assumed to be independent of temperature); universal gas constant, R is 8.314 J mol‒1 K‒1; ratio of molar heat capacities is 1.277. The temperature (in K, rounded off to the first decimal place) of the gas at the final state in the irreversible compression case is _______
Ans:: 372.9 K
Q.33 A gas obeying the Clausius equation of state is isothermally compressed from 5 MPa to 15 MPa in a closed system at 400 K. The Clausius equation of state is where P is the pressure, T is the temperature, is the molar volume and R is the universal gas constant. The parameter b in the above equation varies with temperature as with 410 m3mol‒1 and 1.35 10 m3mol‒1K‒1. The effect of pressure on the molar enthalpy (h) at a constant temperature is given by . Let hi and hf denote the initial and final molar enthalpies, respectively. The change in the molar enthalpy first decimal place) for this process is _______
Q.35 Water (density=1000 kg m‒3) is pumped at a rate of 36 m3/h, from a tank 2 m below the pump, to an overhead pressurized vessel 10 m above the pump. The pressure values at the point of suction from the bottom tank and at the discharge point to the overhead vessel are 120 kPa and 240 kPa, respectively. All pipes in the system have the same diameter. Take acceleration due to gravity, g = 10 m s‒2. Neglecting frictional losses, what is the power (in kW) required to deliver the fluid?
(A) 1.2. (B) 2.4 (C) 3.6. (D) 4.8
Q.41 In an experimental setup, mineral oil is filled in between the narrow gap of two horizontal smooth plates. The setup has arrangements to maintain the plates at desired uniform temperatures. At these temperatures, ONLY the radiative heat flux is negligible. The thermal conductivity of the oil does not vary perceptibly in this temperature range. Consider four experiments at steady state under different experimental conditions, as shown in the figure below. The figure shows plate temperatures and the heat fluxes in the vertical direction.
What is the steady state heat flux (in W m‒2) with the top plate at 70oC and the bottom plate at 40oC?
(A) 26. (B) 39. (C) 42 (D) 63
Ans:: A) 26
Q.42 The space between two hollow concentric spheres of radii 0.1 m and 0.2 m is under vacuum. Exchange of radiation (uniform in all directions) occurs only between the outer surface (S1) of the smaller sphere and the inner surface (S2) of the larger sphere. The fraction (rounded off to the second decimal place) of the radiation energy leaving S2, which reaches S1 is _______
Ans::: 0.25
Q.43 A binary distillation column is to be designed using McCabe Thiele method. The distillate contains 90 mol% of the more volatile component. The point of intersection of the q-line with the equilibrium curve is (0.5, 0.7). The minimum reflux ratio (rounded off to the first decimal place) for this operation is _______
Q.45 At 30℃ amounts of acetone adsorbed at partial pressure
Q.49 A porous pellet with Pt dispersed in it is used to carry out a catalytic reaction. Following two scenarios are possible. Scenario 1: Pt present throughout the pores of the pellet is used for catalyzing the reaction. Scenario 2: Pt present only in the immediate vicinity of the external surface of the pellet is used for catalyzing the reaction.
Scenario 1: Pt present throughout the pores of the pellet is used for catalyzing the reaction.
Scenario 2: Pt present only in the immediate vicinity of the external surface of the pellet is used for catalyzing the reaction. At a large value of Thiele modulus, which one of the following statements is TRUE?
(A) Since the reaction rate is much greater than the diffusion rate, Scenario 1 occurs
(B) Since the reaction rate is much greater than the diffusion rate , Scenario 2 occurs
(C) Since the reaction rate is much lower than the diffusion rate, Scenario 1 occurs
(D) Since the reaction rate is much lower than the diffusion rate, Scenario 2 occurs
Q.52 A PI controller with integral time constant of 0.1 min is to be designed to control a process with transfer function
Assume the transfer functions of the measuring element and the final control element are both unity 1,1. The gain (rounded off to the first decimal place) of the controller that will constitute the critical condition for stability of the PI feedback control system is _______
Q.53 For a unit step input, the response of a second order system is
(A) 15.9 (B) 50 (C) 63.2 (D) 100
Ans:: D) 100
Q.54 A vertical cylindrical tank with a flat roof and bottom is to be constructed for storing 150 m3 of ethylene glycol. The cost of material and fabrication for the tank wall is Rs 6000 per m2 and the same for the roof and the tank bottom are Rs 2000 and Rs 4000 per m2, respectively. The cost of accessories, piping and instruments can be taken as 10% of the cost of the wall. 10% of the volume of the tank needs to be kept free as vapour space above the liquid storage. What is the optimum diameter (in m) for the tank?
(A) 3.5. (B) 3.9. (C) 7.5. (D) 7.8
Q.55 A catalytic reforming plant produces hydrogen and benzene from cyclohexane by de-hydro aromatisation. In order to increase the production of hydrogen, the owner plans to change the process to steam reforming of the same feedstock that produces hydrogen and carbon dioxide. Stoichiometrically, what is the maximum ratio of pure hydrogen produced in the proposed process to that in the existing process?
(A) 1 (B) 2. (C) 5 (D) 6
Ans:: D) 6
END OF THE QUESTION PAPER
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