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Full Length Test #7
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Question 1 of 65
1. Question
1 pointsCategory: APTITUDEChoose the word that does NOT belong to the group
Correct
Chirp, bellow and trumpet are animal sounds while saxophone is a musical instrument.
Incorrect
Chirp, bellow and trumpet are animal sounds while saxophone is a musical instrument.

Question 2 of 65
2. Question
1 pointsCategory: APTITUDEOnce the devious intentions of the administrators are out in the open, heads will ____
Correct
The phrase ‘heads will roll’ means people will get into trouble. The clue in the given sentence is the word ‘devious’ (evil).
Incorrect
The phrase ‘heads will roll’ means people will get into trouble. The clue in the given sentence is the word ‘devious’ (evil).

Question 3 of 65
3. Question
1 pointsCategory: APTITUDEChoose the word which is the exact OPPOSITE of the given words.
FORSAKECorrect
Forsake means to reject and the antonym is ‘retain’ which means ‘preserve’. (Rescind, abdicate and repeal are synonyms of ‘forsake’)
Incorrect
Forsake means to reject and the antonym is ‘retain’ which means ‘preserve’. (Rescind, abdicate and repeal are synonyms of ‘forsake’)

Question 4 of 65
4. Question
1 pointsOut of the fractions : 7/8, 4/9, 3/7, 5/11 and 8/15 , what is the difference between the largest and smallest fraction
Correct
Incorrect

Question 5 of 65
5. Question
1 pointsCategory: APTITUDEA canteen requires 56 kgs of rice for seven days. How many kgs of rice will it require for the months of April and May together?
Correct
Number of days in April and May = 30+31=61
Requirement of rice for 7 days = 56 kgs
Requirement of rice for 61 days = (56/7 × 61) kgs = 488 kgsIncorrect
Number of days in April and May = 30+31=61
Requirement of rice for 7 days = 56 kgs
Requirement of rice for 61 days = (56/7 × 61) kgs = 488 kgs 
Question 6 of 65
6. Question
2 pointsCategory: APTITUDEGiven below is a statement followed by two conclusions. Assuming the statement to be true, decide which one logically follows:
Statements: Yoga works best when practiced regularly and requires some effort.
Conclusions:
I. Weight loss can be achieved only when yoga is done every day and some attempt is taken.
II. Irregular practice of yoga will fetch zero results.Correct
The benefits of yoga are not mentioned hence we cannot assume that weight loss can be achieved by doing yoga.
Conclusion 2 is extreme. Yoga gives the best results when done regularly, but it does not mean that doing yoga only a few times gives zero benefit.
Incorrect
The benefits of yoga are not mentioned hence we cannot assume that weight loss can be achieved by doing yoga.
Conclusion 2 is extreme. Yoga gives the best results when done regularly, but it does not mean that doing yoga only a few times gives zero benefit.

Question 7 of 65
7. Question
2 pointsCategory: APTITUDEA box contains 2 white balls, 3 black balls 4 red balls. In how many ways can 3 balls be drawn from box, if atleast one black ball is to be included in draw?
Correct
Incorrect

Question 8 of 65
8. Question
2 pointsCategory: HEAT TRANSFERA conical tent is to accommodate 10 persons. Each person must have 6 meter square space to sit and 30 meter cube of air to breathe. What will be the height (m) of the cone?
Correct
Given that each person should have a 6 m² of area that means the base should have a total area of 6×10 = 60 m² (which is πr², r being the radius of the base). The volume of the cone will have to be 30×10 m³, as each person needs 30 m³ of volume. Thus using the expression for the volume of a cone 1/3 πr² h = 300.
Now πr²= 60, thus the above expression becomes (1/3)×60×h=300 => h=15 m.Incorrect
Given that each person should have a 6 m² of area that means the base should have a total area of 6×10 = 60 m² (which is πr², r being the radius of the base). The volume of the cone will have to be 30×10 m³, as each person needs 30 m³ of volume. Thus using the expression for the volume of a cone 1/3 πr² h = 300.
Now πr²= 60, thus the above expression becomes (1/3)×60×h=300 => h=15 m. 
Question 9 of 65
9. Question
2 pointsCategory: APTITUDE50 people attended an exhibition. Out of them, 5 did not buy any book, 20 bought 1 book each, 15 bought 2 books each, and the rest bought at least 3 books. if the average number of books bought per person was 2, what is the maximum number of books that any single person could have bought?
Correct
Total books bought are 50×2=100
People who bought less than 3 books =5+20+15=40
Number of books bought by them=5×0+20×1+15×2=50
So, people who bought atleast 3 books =5040=10
Number of books bought by them=10050=50
Whenever you’re asked to maximize one thing, you want to minimize everything else.
So, out of 10 people who bought atleast 3 books, 9 must buy 3 books each
Therefore the maximum books bought by a single person=50 – 9×3 = 23 booksIncorrect
Total books bought are 50×2=100
People who bought less than 3 books =5+20+15=40
Number of books bought by them=5×0+20×1+15×2=50
So, people who bought atleast 3 books =5040=10
Number of books bought by them=10050=50
Whenever you’re asked to maximize one thing, you want to minimize everything else.
So, out of 10 people who bought atleast 3 books, 9 must buy 3 books each
Therefore the maximum books bought by a single person=50 – 9×3 = 23 books 
Question 10 of 65
10. Question
2 pointsCategory: APTITUDEDean and Ryan are risk analysts for an energy trading firm. At the end of the day, there are 40 trading books to analyze. Dean can analyze one book in 30 minutes. Ryan can analyze one book in 15 minutes. If they worked together at these rates, how long would it take Dean and Ryan to analyze all of the books?
Correct
To solve this work problem, first determine how much of the job each person completes in an hour. Dean analyzes 2 books an hour. Thus, he completes 2/40 or 1/20 of the job each hour. Ryan analyzes 4 books an hour. Thus, he completes 4/40 or 1/10 of the job each hour. Working together, they complete (1/20 + 1/10) or 3/20 of the job each hour. If it takes t hours to complete the books working together, they complete 1/t of the job in an hour. Thus, you can set up the equation:
(3/20) = 1/t
3t =20
t =6.66hrs
t =6 hours 40 minutesIncorrect
To solve this work problem, first determine how much of the job each person completes in an hour. Dean analyzes 2 books an hour. Thus, he completes 2/40 or 1/20 of the job each hour. Ryan analyzes 4 books an hour. Thus, he completes 4/40 or 1/10 of the job each hour. Working together, they complete (1/20 + 1/10) or 3/20 of the job each hour. If it takes t hours to complete the books working together, they complete 1/t of the job in an hour. Thus, you can set up the equation:
(3/20) = 1/t
3t =20
t =6.66hrs
t =6 hours 40 minutes 
Question 11 of 65
11. Question
1 pointsCategory: MATHEMATICSThe rank of the following n × n matrix is
Correct
Incorrect

Question 12 of 65
12. Question
1 pointsCategory: MATHEMATICSCorrect
Incorrect

Question 13 of 65
13. Question
1 pointsCategory: MATHEMATICSThe value of is _____ .
Correct
Incorrect

Question 14 of 65
14. Question
1 pointsCategory: MATHEMATICSCorrect
Incorrect

Question 15 of 65
15. Question
1 pointsCategory: MATHEMATICS 
Question 16 of 65
16. Question
1 pointsCategory: PROCESS CALCULATIONSThe relative saturation of a mixture of ethyl acetate vapor and air is given as 40% at 35 ºC and 1 bar pressure. If the vapor pressure of ethyl acetate is given as 20 kN / m² at 35 ºC, then the percentage of air is _______.
Correct
Incorrect

Question 17 of 65
17. Question
1 pointsCategory: THERMODYNAMICSThe change in enthalpy, when a unit quantity of gas is absorbed by relatively large quantity of adsorbent (on which a definite concentration of the adsorbed gas already exists) is termed as the
Correct
Incorrect

Question 18 of 65
18. Question
1 pointsCategory: FLUID MECHANICSCCl4 is to flow through a smooth horizontal circular tube of internal diameter 3 cm at a volumetric flow rate of 2 lit/sec at 25ºC. Density and viscosity of CCl4 are 1.54 gm/sec and 0.87 cp respectively. Estimate the pressure loss per cm length of tube in ((gmf/cm²)/cm length)
Correct
Re = ρvD/ν , if Re<2100 then f=16/Re , substitute f to above head loss equation
Incorrect
Re = ρvD/ν , if Re<2100 then f=16/Re , substitute f to above head loss equation

Question 19 of 65
19. Question
1 pointsCategory: PROCESS CALCULATIONSA mixture of H2 , N2 and CO2 was found to have the following ratio of partial pressures of the gases:
PH2 : PN2 : PCO2 =1: 2: 3
Find the average molecular weight of the mixture, if the total pressure is 3 atm absolute. 
Question 20 of 65
20. Question
1 pointsCategory: FLUID MECHANICSA body weighing 100 kg with a flat surface area of 3 m² slides down a lubricated inclined plane making 30º angle with the horizontal. The viscosity of the lubricant oil is 0.1 kg /m⋅S and body speed is 1.2 m/s. What is the lubricant film thickness(in mm)?

Question 21 of 65
21. Question
1 pointsCategory: THERMODYNAMICSA tank containing 20kg of water at 20 ºC is fitted with a stirrer that delivers work to the water at the rate of 0.25 KW for water Cp = 4.18kJ/ kgº C. If no heat is lost from the water the time required to increase the temperature of water to 30 ºC is equal to_______sec.

Question 22 of 65
22. Question
1 pointsCategory: MECHANICAL OPERATIONSRange of compressibility coefficient of the commercial compressible cake obtained in filtration operation is
Correct
Incorrect

Question 23 of 65
23. Question
1 pointsCategory: MECHANICAL OPERATIONSBalls for ball mills are never made of
Correct
Incorrect

Question 24 of 65
24. Question
1 pointsCategory: THERMODYNAMICSWhich of the following is not a product in the explosive decomposition of ammonium nitrate?

Question 25 of 65
25. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGConsider a second order reaction which is taking place as A→B . Then the ratio of the time required for 75% conversion to the time required for 30% conversion is
Correct
=7
Incorrect
=7

Question 26 of 65
26. Question
1 pointsCategory: CHEMICAL TECHNOLOGYWhich of the following gases is the most soluble in water?
Correct
Incorrect

Question 27 of 65
27. Question
1 pointsCategory: FLUID MECHANICSStokes equation is valid in the Reynolds number range of
Correct
Incorrect

Question 28 of 65
28. Question
2 pointsCategory: FLUID MECHANICSBased on the following data
H2(g) + I2(s) → 2 HI(g) Δ HR = 51.9 kJ
H2(g) + I2(g) → 2 HI(g) Δ HR = 9.2 kJ
The enthalpy of sublimation of I2 _____________Correct
Incorrect

Question 29 of 65
29. Question
1 pointsCategory: FLUID MECHANICSIf the equivalent head is measured as 400 mm of mercury (γ) =13.6, then the pressure in kN/m² will be ___________.
Correct
Incorrect

Question 30 of 65
30. Question
2 pointsCategory: FLUID MECHANICSForce required to hold a circular disc at rest, if the diameter of the disc is 5 m and is held normal to a 24.7 m/s wind of density 0.001 g/cc, is______. [CD =1.2 ]
Correct
Incorrect

Question 31 of 65
31. Question
1 pointsCategory: HEAT TRANSFERA radiator which behaves as a black body operates at a surface temperature of 50 ºC . Heat flux at the surface of the radiator is_______________ 2 W/m²
Correct
Incorrect

Question 32 of 65
32. Question
1 pointsCategory: MECHANICAL OPERATIONSIn a ball mill of diameter 2000 mm, 100 mm diameter steel balls are being used for grinding. Presently, for the material being ground, the mill is running at 15 rpm. If the 100 mm balls are replaced by 50 mm balls, all the other conditions remaining the same, the speed that the mill have to run, will be ________rpm.

Question 33 of 65
33. Question
2 pointsCategory: ECONOMICSThe initial worth for a chemical plant of a company is 60 lakhs with an estimated salvage value of 5 lakhs and service life of 5 years. The book value of the plant at the end of 3 years assuming depreciation through straight line method is_____lakhs.

Question 34 of 65
34. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGAn elementary liquid phase reaction (irreversible first order) A → R takes place in a PFR and the conversion is 96%. If a mixed flow reactor of 10 times as large as the PFR is hooked up in parallel with the existing unit, then the fraction that the production be increased for the same 96% conversion would be _______.
Correct
Incorrect

Question 35 of 65
35. Question
2 pointsCategory: MATHEMATICSThe expectation of the number of failures preceding the first succession of an infinite series of independent trails with constant probability P of success in each trail is ________

Question 36 of 65
36. Question
2 pointsCategory: MATHEMATICSEvaluate the integral by trapezoidal rule sub dividing the interval [0,1] into six equal parts. What is the error in the estimate?

Question 37 of 65
37. Question
2 pointsCategory: MATHEMATICS 
Question 38 of 65
38. Question
2 pointsCategory: MATHEMATICSWhich of the following functions are not satisfying Rolle’s theorem?
Correct
Incorrect

Question 39 of 65
39. Question
2 pointsCategory: MASS TRANSFERMatch the following
Correct
 liquid below bubble point that means q>1 .. slope = q/(q1) substitute q>1 take 2 for example we are getting slope >1 option (P)
 similarly,For saturated vapour , q=0 , slope =0 option (R)
 For saturated liquid q=1 , slope = ∞ , option (Q)
 For superheated vapor , q<0 , take 1 for example we are getting 1/2 fraction in between 0 to 1.
Incorrect
 liquid below bubble point that means q>1 .. slope = q/(q1) substitute q>1 take 2 for example we are getting slope >1 option (P)
 similarly,For saturated vapour , q=0 , slope =0 option (R)
 For saturated liquid q=1 , slope = ∞ , option (Q)
 For superheated vapor , q<0 , take 1 for example we are getting 1/2 fraction in between 0 to 1.

Question 40 of 65
40. Question
1 pointsCategory: MASS TRANSFERThe vapor pressure of benzene & toluene are 3 & 4/3 atmosphere respectively. A liquid feed of 0.4 moles of benzene & 0.6 moles of toluene is vaporized. Assuming that the product are in equilibrium,the vapour phase mole fraction of benzene is
Correct
Incorrect

Question 41 of 65
41. Question
1 pointsCategory: MASS TRANSFERA continous rectification column is used to seperate a binary mixture of A and B. Distillate is produced at 100 K mol/hour containing 98 mol % A. The mole fraction of A in the liquid and the vapour x and y respectively from two adjacent ideal plates in the enriching section are as follow.
x y
0.65 0.82
0.56 0.76
If the latent heat of vaparization is the same for all mixture & if the feed is a saturated liquid . Calculate reflux ratio _____
Correct
Incorrect

Question 42 of 65
42. Question
1 pointsCategory: MASS TRANSFERA continuous rectification column is used to separate a binary mixture of A and B. Distillate is produced at 100 K mol/hour containing 98 mol % A. The mole fraction of A in the liquid and the vapour x and y respectively from two adjacent ideal plates in the enriching section are as follow.
x y
0.65 0.82
0.56 0.76
If the latent heat of vaporization is the same for all mixture & if the feed is a saturated liquid .
The vapor rate in stripping section in K mol / hr is ______
Correct
Incorrect

Question 43 of 65
43. Question
1 pointsCategory: MASS TRANSFERA liquid mixture of benzene – toulene is to be distilled in a fractionating tower at 101.325 kpa. The feed of 100 kg mol/h is liquid , containing 45 mol% benzene & 55mol% toulene & enters at 327.6 K. A distillate containing 95 mol% benzene & 5 mol % toulene & a bottom and containing 10 mol% benzene & 90 mol % toulene are to be obtained calculate the kg moles per hour distillation, kg moles per hour bottoms.
Correct
Incorrect

Question 44 of 65
44. Question
1 pointsCategory: MASS TRANSFERA binary liquid mixture containing 50 mol% of more volatile component is fed to a heater where 40% of the feed is flash vaporized. If the liquid & vapor produced are in equilibrium, the composition of the liquid product obtained (in mol%) is _____ (upto two decimal) if [α=2]
Correct
Incorrect

Question 45 of 65
45. Question
1 pointsIf f(x) 2 = 3x² + px + q satisfies Lagrange’s mean value theorem in [1,2] then
Correct
Incorrect

Question 46 of 65
46. Question
1 pointsWhat height would a water barometer need to measure atmospheric pressure (in meters)?
Correct
Incorrect

Question 47 of 65
47. Question
1 pointsAmmonia is prepared by reacting nitrogen and hydrogen under pressure. The product was washed with water to dissolved the ammonia and separate it from other unreacted gases. The dissolution rate of ammonia can be calculated using
Correct
Mass transfer coefficient
Incorrect
Mass transfer coefficient

Question 48 of 65
48. Question
1 pointsThe initial rate of cooling of the plate will be ____________K/S.
Correct
Incorrect

Question 49 of 65
49. Question
1 pointsCorrect
Incorrect

Question 50 of 65
50. Question
1 pointsm³ an ideal gas at 500k and 1000 KPa expands reversibly to 5 times its initial volume in an insulated container. If the specific heat capacity of the gas is 21 J/mol K. The final temperature will be__________K.
Correct
Incorrect

Question 51 of 65
51. Question
1 pointsThe inventory of raw materials included in the working capital is usually about …………… month’s supply of raw materials valued at delivery prices.
Correct
1
Incorrect
1

Question 52 of 65
52. Question
1 pointsA reservoir of oil has a mass of 825 kg. The reservoir has a volume of 0.917 m³. Compute the density, specific weight, and specific gravity of the oil.
Correct
Incorrect

Question 53 of 65
53. Question
1 pointsA manometer connected to a pipe indicates a negative gauge pressure of 50mm of mercury. What is the absolute pressure in the pipe if the atmospheric pressure is 1 bar?
Correct
Incorrect

Question 54 of 65
54. Question
1 pointsCorrect
Incorrect

Question 55 of 65
55. Question
1 pointsA home thermo state for onoff control of room temperature produces a cycle with 30 minutes period and 30F amplitude. If a thermometer with a time constant of 4.0 minute placed beside it, then which of the following cycle will it indicate?
Assume that the thermometer has first order lag.Correct
Incorrect

Question 56 of 65
56. Question
1 pointsCorrect
Incorrect

Question 57 of 65
57. Question
1 pointsAir inside electronics package housing has temperature at 50ºC. A chip in this housing has an internal thermal power generation rate of 3×10^3W. This chip is subjected to an air flow resulting in the convective coefficient of 9W/m2ºC over its two main surfaces which are 0.5cm×1.0cm. Determine chip surface temperature (in ºC). Neglect radiation and heat transfer from edges.
Correct
Incorrect

Question 58 of 65
58. Question
1 pointsCorrect
Incorrect

Question 59 of 65
59. Question
1 pointsAn irreversible exothermic reaction which generates 4700 kcal/mole reagent “Z” is to be run at 25°C (77°F) in a reactor with HTC (U) = 55 BTU/hr ft² °F and heat transfer area (A) of 16.5 ft² by controlled addition of reagent “Z”. Jacket temperature is 0°C (32°F).
Calculate the heat removal rate.Correct
Q = UAΔT = 55×16.5×(77 − 32) = 40,800 BTU / hr
Incorrect
Q = UAΔT = 55×16.5×(77 − 32) = 40,800 BTU / hr

Question 60 of 65
60. Question
1 pointsCorrect
Incorrect

Question 61 of 65
61. Question
1 pointsA solution of ethyl alcohol containing 8.6% alcohol by weight is fed at the rate of 5000 kg/hr to a continuous fractionating column operating at atmospheric pressure. The distillate which is the desired product contains 95.4% alcohol by weight and the residue from the bottom of the column contains 0.1% alcohol by weight.
Calculate the mass flow rate of the distillate in kg/hr.Correct
Incorrect

Question 62 of 65
62. Question
1 pointsA first order thermometer having a time constant of 5 seconds is to measure a temperature oscillating between 120 °C to 140 °C with a period of 2 minutes. What temperature will be indicated by the thermometer?
Correct
Incorrect

Question 63 of 65
63. Question
1 pointsA Carnot heat engine converts one sixth of the heat input to work. When the temperature of cold reservoir is reduced by 62°C. The efficiency of the engine is doubled. The temperature of the hot reservoir is 99° C and a cold reservoir is_________ °C .
Correct
Incorrect

Question 64 of 65
64. Question
1 pointsIf a horizontal electronic component with a surface temperature of 48°C, 8 mm wide and 16mm long is dissipating at 0.4 W by free convection from one side into air where the temperature is 22°C, then the Nusselt number will be _________________.
Correct
Incorrect

Question 65 of 65
65. Question
1 pointsThe favorable conditions for the maximum yield of ammonia by Haber’s process are
Correct
High pressure, low temperature, and high concentrations of reactants.
Incorrect
High pressure, low temperature, and high concentrations of reactants.
0sincostansin^{1}cos^{1}tan^{1}πex^{y}x^{3}x^{2}e^{x}10^{x}^{y}√x^{3}√x√xlnlog()1/x%n!789+MS456–M+123×M0.EXP÷MR±RNDC=MC 
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