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Full Length Test #4
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 APTITUDE 0%
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 CHEMICAL TECHNOLOGY 0%
 ECONOMICS 0%
 FLUID MECHANICS 0%
 HEAT TRANSFER 0%
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Question 1 of 65
1. Question
1 pointsCategory: APTITUDEThere are five hotels in a line. If 4 men go into hotel at 11 a.m what is the probability that each go into a different hotel?

Question 2 of 65
2. Question
1 pointsCategory: APTITUDEIf a number is divided by 110, the quotient & the remainder are equal. Find the sum of all such numbers ?

Question 3 of 65
3. Question
1 pointsCategory: APTITUDEReplace the underlined parts with one of the options given below to correct the sentence :
The population of Mumbai is greater than any other city in the country.Correct
Incorrect

Question 4 of 65
4. Question
1 pointsCategory: APTITUDEIdentify a pair that best expresses a relationship similar to that expressed in the original pair
ALTERCATION: ROWCorrect
The given pair is that of synonyms. Altercation or row means quarrel. Similarly, in option D,
nefarious and wicked are synonymsIncorrect
The given pair is that of synonyms. Altercation or row means quarrel. Similarly, in option D,
nefarious and wicked are synonyms 
Question 5 of 65
5. Question
1 pointsCategory: APTITUDEThe scam dealt a death ____ to the local minister‟s political ambitions
Correct
The phrase ‘death blow’ means an event that leads to failure of something.
Incorrect
The phrase ‘death blow’ means an event that leads to failure of something.

Question 6 of 65
6. Question
2 pointsCategory: APTITUDEA thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius r, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and square regions in terms of r?
Correct
Area of the circle = πr² Area of the square = one of its sides squared Perimeter of the square is 40 – (the perimeter of the circle = 2πr) One of the sides of the square = 402πr/4 or 101/2πr
Total area: πr²+(101/2πr)²
Incorrect
Area of the circle = πr² Area of the square = one of its sides squared Perimeter of the square is 40 – (the perimeter of the circle = 2πr) One of the sides of the square = 402πr/4 or 101/2πr
Total area: πr²+(101/2πr)²

Question 7 of 65
7. Question
2 pointsCategory: APTITUDEIf 12 ounce of a strong vinegar solution is diluted with 50 ounce of water to form a threepercent vinegar solution, what was the concentration of the original solution (in %)?
Correct
We know that the new solution is 3% vinegar and has a total of 62 ounces of liquid. Using the percent equation: % = part/whole 3/100 = ounces vinegar/62 (3/100)62 = ounces of vinegar Now, before we actually calculate, let’s think about what we’re doing next. We want to know the % vinegar in the original solution. So, once again: % = part/whole ×100% = (3/100) (62)/12 × 100% = (186)×(1/12) % = 15.5%
Incorrect
We know that the new solution is 3% vinegar and has a total of 62 ounces of liquid. Using the percent equation: % = part/whole 3/100 = ounces vinegar/62 (3/100)62 = ounces of vinegar Now, before we actually calculate, let’s think about what we’re doing next. We want to know the % vinegar in the original solution. So, once again: % = part/whole ×100% = (3/100) (62)/12 × 100% = (186)×(1/12) % = 15.5%

Question 8 of 65
8. Question
2 pointsCategory: APTITUDEIn a marathon race (50 kilometers), Birbal gave Tansen a 30minute head start. Tansen runs the race at a rate of 6 kilometers per hour. Birbal runs the race at a rate of 7 kilometers per hour. If they start from the same point and follow the same path, how long will Birbal run before he overtakes Tansen?
Correct
Birbal is gaining on Tansen at a rate of 1 kmh (7 kmh – 6 kmh). In 30 minutes, Tansen was able to run 3 kilometers. We need to determine how long it will take for Birbal to overcome Tansen ‘s 30minute (3 km) advantage. distance = rate × time 3 km = 1 kmh × time time = 3 km / 1 kmh time = 3 hours Birba will overtake Tansen in 3 hours. The answer is B.
Incorrect
Birbal is gaining on Tansen at a rate of 1 kmh (7 kmh – 6 kmh). In 30 minutes, Tansen was able to run 3 kilometers. We need to determine how long it will take for Birbal to overcome Tansen ‘s 30minute (3 km) advantage. distance = rate × time 3 km = 1 kmh × time time = 3 km / 1 kmh time = 3 hours Birba will overtake Tansen in 3 hours. The answer is B.

Question 9 of 65
9. Question
2 pointsCategory: APTITUDESamuel is obviously a bad fisherman. During the past season, in which he and the five members of his team spent four months on a boat together off Dutch Harbor, AK, he caught fewer fish than any of his teammates. Which of the following, if true, most weakens the argument above?
Correct
Incorrect

Question 10 of 65
10. Question
2 pointsCategory: APTITUDEGiven below are three statement followed by three conclusions. Assuming the statement to be true, decide which one logically follows:
Statements:
 I. No agora is cramped.
 II. Some turfs are cramped.
 III. All terrains are agoras.
Conclusions:
 I. No terrain is cramped.
 II. No turf is a terrain.
 III. Some cramped are terrains.
Correct
Conclusion I is correct since the statements clearly depicts that terrain and cramped are two separate circles. Conclusion II is incorrect because the circle of turf intersects terrain which means there is some relationship between the two. Conclusion III is incorrect because cramped and terrains are two completely different circles which do not meet at any point and have no relationship in any way.
Incorrect
Conclusion I is correct since the statements clearly depicts that terrain and cramped are two separate circles. Conclusion II is incorrect because the circle of turf intersects terrain which means there is some relationship between the two. Conclusion III is incorrect because cramped and terrains are two completely different circles which do not meet at any point and have no relationship in any way.

Question 11 of 65
11. Question
1 pointsCategory: THERMODYNAMICSIn a reacting system, which of the following quantities will increase the degrees of freedom?
Correct
DF = number of unknown labeled variables + number of independent chemical reactions – number of independent chemical balance – number of other equations relating unknown variables by observing the above equation. Number of independent reactions will affect the reaction according to the above condition
Incorrect
DF = number of unknown labeled variables + number of independent chemical reactions – number of independent chemical balance – number of other equations relating unknown variables by observing the above equation. Number of independent reactions will affect the reaction according to the above condition

Question 12 of 65
12. Question
1 pointsCategory: PROCESS CALCULATIONSWhich of the following can be treated as limiting reagent for the reaction
HCl+ NaOH → NaCl +H2O , if 90gm of NaOH reacts with 50g of HCl? 
Question 13 of 65
13. Question
1 pointsCategory: ECONOMICSA company produces grinders at the rate of P units per day. The variable costs per grinder is Rs. 32 + 0.2P^1.5 . The total daily fixed charges are Rs. 1000 and all other expenses are constant at Rs.2920 per day. If the selling price per grinder is Rs.200, determine the daily profit at a production schedule giving the maximum daily profit(in Rupees).

Question 14 of 65
14. Question
1 pointsCategory: HEAT TRANSFERThe outer diameter of an uninsulated steam pipe is 4 inch. The outside surface temperature of the pipe is constant at 200 ºF and the room temperature where the pipe is located is 50ºF. The heat content of the stream is Rs.2 per 10^6 Btu. Find the cost of heat losses per year (in Rupees) from the pipe, if the length of the pipe is 100 feet. Given ε= 0.7 and heat transfer coefficient for heat loss from the surface by convection is 1.5 Btu / hr.ft² ºF

Question 15 of 65
15. Question
1 pointsCategory: THERMODYNAMICSIn an insulated duct, air is flowing steadily. The pressure and temperature measurements of the air at two stations A and B are given below (Assume Cp= 1.005 kJ / kgK)
Choose the correct option.

Question 16 of 65
16. Question
1 pointsCategory: CHEMICAL TECHNOLOGYWhat is the role of feed guard converter in the synthesis of ammonia?
Correct
It is used to remove traces of H2O, H2S, P and Arsenic. It is also used to convert CO and CO2 into CH4 .
Incorrect
It is used to remove traces of H2O, H2S, P and Arsenic. It is also used to convert CO and CO2 into CH4 .

Question 17 of 65
17. Question
2 pointsCategory: MATHEMATICSPerform the following operations on the matrix
(i) Add the second row to the third row
(ii) Subtract the second column from the first column
The sum of the Eigen values and product of the Eigen values of the resultant matrix are respectively ______ 
Question 18 of 65
18. Question
1 pointsCategory: MATHEMATICS 
Question 19 of 65
19. Question
1 pointsThe function f(x)= 3x²+ 4x 2 is integrated between 0 and 2 (both inclusive) using single step application of Trapezoidal rule. The difference between the values obtained from Trapezoidal rule and exact solution is __

Question 20 of 65
20. Question
1 pointsCategory: MATHEMATICSCorrect
Incorrect

Question 21 of 65
21. Question
1 pointsCategory: MATHEMATICS 
Question 22 of 65
22. Question
1 pointsCategory: HEAT TRANSFERAmong following assumptions, which are true in case of deriving the following equation?
i. Thermal conductivity of solid is very high.
ii. Surface resistance i.e. convective resistance is very low than conductive resistance.
iii Area is very large in proportional to volume.
iv. Surrounding fluid has higher temperature than the solid.Correct
Incorrect

Question 23 of 65
23. Question
1 pointsCategory: FLUID MECHANICSFluid of density 800 kg/m³ and viscosity 0.004 kgm¹s¹ is flowing through an annular pipe having inner and outer diameter 0.2m and 0.4m with velocity 2m/s. Calculate Reynolds number for the flow.

Question 24 of 65
24. Question
1 pointsCategory: MASS TRANSFERIn which of the following ways, the size of the liquid bubble affects the mass transfer rate?
Correct
Incorrect

Question 25 of 65
25. Question
1 pointsCategory: FLUID MECHANICSCorrect
Incorrect

Question 26 of 65
26. Question
1 pointsCategory: MASS TRANSFERThe residual feed stream that have a little of the solute left in it is known as
Correct
Incorrect

Question 27 of 65
27. Question
2 pointsCategory: PROCESS CONTROLCalculate the ultimate gain and crossover frequency for a proportional controller in case of a process, having the open loop transfer function

Question 28 of 65
28. Question
1 pointsCategory: PROCESS CONTROLThe input range of an electronic proportional controller is 7 to 23 mA and output range of 3 to 7 V. For an input change of 5 mA, if the proportional band of the controller is 38%, then the output change will be _____________ V.

Question 29 of 65
29. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGCorrect
Incorrect

Question 30 of 65
30. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGA series of experiments carried out with different values of CAo (Initial concentration of reactant). What would be the relation between CAo and half life period (t1/2) of the reaction? (Order of reaction is 1)

Question 31 of 65
31. Question
2 pointsCategory: PROCESS CONTROLA thermometer at 320ºC is placed in water bath at 900ºC. The initial rate of rise in temperature is found to be 25ºC/ sec. Calculate the value of time constant in seconds, assuming that thermometer is a first order device with unity steady gain.

Question 32 of 65
32. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGIn order to find out the order of a chemical reaction, a series of experiments were conducted and it was found that the halflife period was same in all of them. What might be the order of the reaction?
Correct
Incorrect

Question 33 of 65
33. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGConsider the following series reaction with each of the two steps being first order The maximum yield of ‘B’ is given by
Correct
Incorrect

Question 34 of 65
34. Question
2 pointsCategory: PROCESS CONTROLThe transfer function of a control system is The initial value of corresponding function is ______ .
Correct
Incorrect

Question 35 of 65
35. Question
2 pointsCategory: PROCESS CONTROL 
Question 36 of 65
36. Question
2 pointsCategory: ECONOMICSA highly automated processing plant having a capacity of 150 tons/day of product and requiring principal processing steps of heat transfer, reaction and distillation. Find the average operating labour requirements for an annual operation of 300 days, if the plant requires 30 employeehours/ day/processing step.
Correct
There are 3 process steps
Therefore Operating labor required = 3×30×300 × 27000Incorrect
There are 3 process steps
Therefore Operating labor required = 3×30×300 × 27000 
Question 37 of 65
37. Question
2 pointsCategory: PROCESS CALCULATIONSIf M kg of solution containing x (wt%) solute mixes with N kg of another solution containing y % (wt basis), then what is the resultant solution concentration, if M: N is 2: 3?

Question 38 of 65
38. Question
2 pointsCategory: THERMODYNAMICSThe maximum useful work obtainable from a closed system exchanging heat with only atmosphere as it passes from state 1 to state 2 is given by

Question 39 of 65
39. Question
2 pointsCategory: ECONOMICSThe annual direct production costs for a plant is Rs.250000 while the sum of the annual fixed charges, overhead, cost and general expenses is Rs.150000. if total annual sales are Rs.550000 and the product sells at Rs.50 per unit, then the breakeven point in units of production per year will be ________.

Question 40 of 65
40. Question
2 pointsCategory: CHEMICAL TECHNOLOGYWhat is the role of nitrogen in agriculture?
Correct
Incorrect

Question 41 of 65
41. Question
2 pointsCategory: THERMODYNAMICSAssertion (A) : The change in heat and work cannot be expressed as difference between the end states.
Reason (R) : Heat and work are both exact differentials.Correct
Incorrect

Question 42 of 65
42. Question
2 pointsCategory: FLUID MECHANICSFor an incompressible flow through a pipe, the relation between shear stress and the distance from the centre line is
Correct
The relationship between the stress and the distance from the centre is given by
Incorrect
The relationship between the stress and the distance from the centre is given by

Question 43 of 65
43. Question
2 pointsCategory: CHEMICAL TECHNOLOGYThe impure acetylene from the generator produced by wet process from CaC2 does not contain
Correct
Incorrect

Question 44 of 65
44. Question
2 pointsCategory: FLUID MECHANICSConsider a liquid, which is in static condition in the container. Consider a point P within the fluid as shown below. If Px , Py , Pz are the pressure components in x, y and z directions respectively, then
Correct
Pressure is a scalar quantity and the magnitude remains same in all the directions irrespective of dimensions of the container.
Incorrect
Pressure is a scalar quantity and the magnitude remains same in all the directions irrespective of dimensions of the container.

Question 45 of 65
45. Question
2 pointsCategory: MASS TRANSFERIn a food industry a drying operation is going on. If the wet bulb temperature of the outgoing air increases, then the humidity of outgoing air
Correct
Increase in the wet bulb temperature, increases the humidity of outgoing air.
Incorrect
Increase in the wet bulb temperature, increases the humidity of outgoing air.

Question 46 of 65
46. Question
2 pointsCategory: MATHEMATICSCorrect
Incorrect

Question 47 of 65
47. Question
2 pointsCategory: MATHEMATICSCorrect
Incorrect

Question 48 of 65
48. Question
1 pointsCategory: MATHEMATICSWhich of the following functions is/are analytic everywhere in the complex plane?
choose 2 answers
Correct
Incorrect

Question 49 of 65
49. Question
2 pointsCategory: MATHEMATICSWhich of the following differential equations have y=sinx as solution?
more than 1 answers can be correct

Question 50 of 65
50. Question
2 pointsCategory: MATHEMATICS 
Question 51 of 65
51. Question
2 pointsCategory: HEAT TRANSFERCorrect
Incorrect

Question 52 of 65
52. Question
2 pointsCategory: HEAT TRANSFER 
Question 53 of 65
53. Question
2 pointsCategory: HEAT TRANSFERThe surface temperature of the sun is 5500 ºC . Determine the emissive power of the sun

Question 54 of 65
54. Question
2 pointsCategory: HEAT TRANSFERIf a solid cylinder of radius 0.4m and conductivity 40W/mK is immersed in a fluid of temperature 300K, heat generation of the cylinder is 10W/m³. Heat transfer coefficient (convective) of fluid is 20W/m² K. Find the heat generation number and Biot number for the situation.

Question 55 of 65
55. Question
1 pointsA high temperature surface separating a liquid and a gas dissipates heat in both mediums. Liquid and gas have the same temperature. On which side of the surface, fin is more required and why? (K=thermal conductivity)
Correct
Incorrect

Question 56 of 65
56. Question
1 pointsCorrect
Incorrect

Question 57 of 65
57. Question
1 pointsCorrect
Incorrect

Question 58 of 65
58. Question
1 pointsCorrect
Incorrect

Question 59 of 65
59. Question
1 pointsCorrect
Incorrect

Question 60 of 65
60. Question
1 pointsPick out the wrong statement
Correct
Wear and tear of equipment are more in a dry process as the mechanical impact will be more. But in a wet process, it is lower by the slurry formation.
Incorrect
Wear and tear of equipment are more in a dry process as the mechanical impact will be more. But in a wet process, it is lower by the slurry formation.

Question 61 of 65
61. Question
1 pointsCorrect
Incorrect

Question 62 of 65
62. Question
1 pointsCorrect
Incorrect

Question 63 of 65
63. Question
1 pointsWhich of the following statement is incorrect in the context of dimensional equations?
Correct
none of these
Incorrect
none of these

Question 64 of 65
64. Question
1 pointsCorrect
Incorrect

Question 65 of 65
65. Question
1 pointsCorrect
P 3, Q 2, R1
Incorrect
P 3, Q 2, R1
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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