SCORE CARD TIME MANAGEMENT QUESTIONS REPORT SOLUTION
Solution Report For
Represent whole test solution with correct and incorrect answers. View Your Test Analysis Q. No Question Status Q.1Attempt Correct Correct Ans. c Video Solution Solution Mark the option which contains the word farthest in meaning to the given word: Profound a. Minnow b. Petty c. Shallow d. Excessive Q.2
Attempt Correct Correct Ans. b Video Solution Solution Choose the most appropriate alternative to complete the sentence: The child danced with ______ joy on hearing the news that her father had arrived home from a long business trip. a. Staid b. Unbridled c. Stealthy d. Restrained Q.3
Attempt Correct Correct Ans. c Video Solution Solution Choose the most appropriate alternative to complete the sentence: The young girl was so full of enthusiasm and ______ that she infected the room with energy. a. Languidness b. Apathy c. Vivacity d. Blandness Q.4 If then x equals a. 2 b. 4 c. 16 d. 12
Attempt Correct Correct Ans. b Video Solution Solution Q.5
Attempt Correct Correct Ans. 12 Video Solution Solution ΔABC is right angled at vertex B. If perpendicular ‘p’ is dropped from vertex B on hypoteneous
AC. If AM = 9 and MC = 16. Then ‘p’ equals
Q.6
Attempt Incorrect Your Ans. a Correct Ans. c
Solution Video Solution
Read the argument carefully and answer the question that follows:
The number of people suffering from a certain abdominal disease has gone down significantly in the country this year, as compared to last year. Health officials attribute this decrease entirely toimproved sanitary conditions at watertreatment plants, which made for cleaner water this year and thus reduced the incidence of the disease. Which of the following, if true, would most seriously weaken the health officials’ explanation for the lower incidence of the disease? a. Many new watertreatment plants have been built in the last five years in the country. b. Bottled spring water has not been consumed in significantly different quantities by people diagnosed as having the intestinal disease, as compared to people who did not contract the disease. c. Because of a new diagnostic technique, many people who until this year would have been diagnosed as having the intestinal disease are now correctly diagnosed as suffering from intestinal ulcers. d. Because of medical advances this year, far fewer people who contract the intestinal disease will develop severe cases of the disease.
Q.7 An unbiased dice is thrown twice. If the first throw determines the tens place digit ‘T ’ and second throw detemines the unit place digit ‘U’. Then the probability that this two digited number ‘TU ’ is a perfect square or a perfect cube is
a.
Attempt Correct Correct Ans. d Video Solution Solution c.
d.
Q.8
Not Attempt Correct Ans. b Video Solution Solution The sum of first 100 terms which are common to both the series M and N M → 17, 21, 25, 29 ... N → 16, 21, 26, 31 ... a. 100001 b. 101100 c. 111010 d. 101010 Q.9
Not Attempt Correct Ans. d Video Solution Solution The following pie charts show the distribution of expense for different items for years 1997 and 1998. Find the sum of the differences between expenditure in 1997 and 1998 on D and that on C as a percentage of difference in total expenditure between two years a. 115 b. 100 c. 85 d. 105 Q.10 Refer to the tables below Table (1) refers capacity available for various machines and Table (2) refers capacity required for manufacting one unit each of products A and B respectively on these machines. Capacity available and required are in hours.
Attempt Incorrect Your Ans. 375 Correct Ans. 4650
Solution Video Solution
If 20 units each of A and B are produced and cost of an idle hour is Rs. 7.5/hr. Then total cost of idle hours of entire set up of all four given machines is say ‘p’. (where idle hours will be difference of capacity available and capacity utilized). Then ‘p’ equals Rs. ___________.
Q.11
Attempt Correct Correct Ans. d Solution
Spring of stiffness k is cut into 5 parts and each part is placed in series. The new stiffness will be a. 5 k b. 25 k c. d. k Q.12
Attempt Correct Correct Ans. b Video Solution Solution In a gating system for Magnesium material casting, the ratio 1 : 4 : 4 represents a. sprue base area : ingate area : runner area b. sprue base area : runner area : ingate area c. casting surface area : ingate area : sprue base area d. sprue base area : runner area : casting surface area Q.13
Attempt Correct Correct Ans. d Video Solution Solution The height of a cylindrical container is twice that of its diameter. The ratio of the horizontal forces on the wall of the cylinder, when it is completely filled to that when it is half filled with the same liquid, is a. 2 b. 3 c. 3.5 d. 4 Q.14 A process in which iron and its base alloys are heated above the transformation range and then suddenly quenched in a molten salt bath at a temperature of 180° C to 300°C, held there
Not Attempt Correct Ans. a Video Solution Solution for sometime and then removed is a. Austempering b. Spheroidising c. Processannealing d. Martempering Q.15
Not Attempt Correct Ans. a Solution
In the graph as shown below, for an axial flow compressor, surging is likely to occur in which one of the following zones? a. A b. B c. C d. D Q.16
Attempt Correct Correct Ans. a Video Solution Solution A round billet of diameter 125 mm is extruded and diameter of extruded product is 55 mm. If extrusion constant is 56 MPa, then the extrusion force required is a. 1.13 MN b. 1.52 MN c. 2.52 MN d. 1.62 MN Q.17
Not Attempt Correct Ans. d Solution
The slenderness ratio for a circular column is directly proportional to Where d is the diameter of the circular column. a. d b. d 2 c. d –2 d. d –1 Q.18 The diagram shown below refers to the stressstrain curve for a mild steel specimen.
Attempt Correct Correct Ans. d Solution The region of Necking is given by a. AB b. BC c. CD d. DE Q.19
Attempt Incorrect Your Ans. c Correct Ans. a
Solution Video Solution The mean effective pressure of the thermodynamic cycle shown in the given pressurevolume diagram is a. 3.0 bar b. 3.5 bar c. 4.0 bar d. 4.5 bar Q.20
Attempt Correct Correct Ans. b Video Solution Solution Cycloidal tooth profile of a cycloidal gear tooth is a combination of
a. Hypocycloid and involute of a circle b. Hypocycloid and epicycloid c. Epicycloid and involute of a circle d. Straight line and epicycloid
Attempt Correct Correct Ans. b Video Solution Solution work is done on the system, if the compression follows a. Adiabatic process b. Isothermal process c. Polytropic process d. Same for all processes Q.22
Attempt Correct Correct Ans. b Video Solution Solution In any forced (or) natural convection heat transfer situation, the velocity of the flowing fluid is zero, where the fluid wets any stationary surface. The magnitude of heat flux where the fluid wets a stationary surface is given by a. b. c. d. Q.23
Not Attempt Correct Ans. c Video Solution Solution A thin aluminium sheet with an emissivity of 0.1 on both sides is placed between two very large parallel plates that are maintained at uniform temperatures T1 = 800 K and T2 = 500 K and have emissivities ∈1 = 0.2 and ∈2 = 0.7 respectively. The Net Radiation heat exchange between the two plates is a. 706 W/m2 b. 1006 W/m2 c. 806 W/m2 d. 502 W/m2 Q.24 The value of is a. b. c. e 5 d. e –5
Attempt Correct Correct Ans. d Video Solution Solution Q.25
Not Attempt Correct Ans. d Video Solution Solution Let A be a 4 × 4 nonsingular matrix and B be the matrix obtained from A by adding its third row thrice to the first row. Then determinant of matrix [2 A–1B] will be a. 0 b. 2 c. 8 d. 16 Q.26
Attempt Incorrect Your Ans. .06212 Correct Ans. 0.41 (0.38 0.43)
Solution Video Solution
A 1 kg mass is suspended vertically from a point fixed on the Moon by a spring having stiffness of 4 N/mm. The static displacement of the mass is _________ mm.
Q.27
Attempt Correct Correct Ans. 5(4.9 5.1) Video Solution Solution A refrigeration plant uses a condenser with heat rejection ratio of 1.2. If the capacity of the plant is 210 kJ/min, then the value of the coefficient of performance(COP) of the refrigeration plant is __________.
Q.28
Attempt Correct Correct Ans. 0.125(0.124 0.126)
Solution Video Solution
In a shaping operation, pawl and ratchet mechanism is used for providing feed to the workpiece. If the ratchet has 40 teeth and pawl rotates the ratchet by 1 tooth every time the crank moves by 1 revolution and the pitch is 5 mm, then the feed is _________ mm/stroke.
Q.29
Attempt Incorrect Your Ans. 50 Correct Ans. 200(199 201)
Solution A ductile material has shear yield strength of 100 MPa. The stress at yielding under equal biaxial tension for the material, according to maximum shear stress theory is _________ MPa.
Q.30 The local drag coefficient at the trailing edge when the free stream velocity is 2 m/s will be __________ × 10–3.
Attempt Incorrect Your Ans. .005 Correct Ans. 1.05(1.02 1.08)
Solution Video Solution
Q.31
Attempt Correct Correct Ans. 2065.74(2064 2067)
Solution Video Solution Helium gas enters an adiabatic nozzle steadily at 500°C and 600 kPa with negligible velocity and exits at a pressure of 90 kPa. The highest possible velocity of helium gas at the nozzle exit is ________ m/s. [Take γ = 1.67; cp = 5.18 kJ/kgK] Q.32
Attempt Incorrect Your Ans. 377 Correct Ans. 650(645 655)
Solution Video Solution Heat is generated in a 3 cm diameter spherical radioactive material uniformly at a rate of 15 W/cm3. Heat is dissipated to the surrounding medium at 25° C with a heat transfer coefficient of 120 W/m2K. The surface temperature of the material in steady operation is _________°C. Q.33
Not Attempt Correct Ans. 301.59(300 303) Video Solution Solution In the figure shown below, the relative velocity of link 1 with respect to link 2 is 8 m/s. Link 2 rotates at a constant speed of 180 rpm. The magnitude of Coriolis component of acceleration of link 1 is _________m/s2.
Q.34
Not Attempt Correct Ans. 4.44 (4.00 4.80) Video Solution Solution Q.35
Attempt Correct Correct Ans. 50 Video Solution Solution Let P = {Pij} be a 50 × 50 matrix, where Pij = min {(i, j) i, j = 1, 2, ...50}, then rank of P is _________.
Q.36
Attempt Correct Correct Ans. c Video Solution Solution Match ListI with ListII and select the correct answer using the codes given below the lists: ListI P. Cavity formed by trapped gas, dirt, grease or any other foreign substance Q. A depression at the terminator of a weld bead R. In arc and gas welding the metal particles expelled and which do not form a part of the weld S. The molten metal which is expelled out by the application of pressure and solidifies around the welds Codes: P Q R S (a) 4 3 1 2 (b) 2 1 4 3 (c) 3 4 2 1 (d) 4 3 2 1 a. a b. b c. c d. d Q.37
Attempt Incorrect Your Ans. a Correct Ans. c
Solution Video Solution A cylindrical casting of 40 cm diameter and 20 cm height is filled with available head of 25 cm and gate diameter of 2 cm. The time (in sec) required for filling, assuming bottom gate will be a. 36.12 b. 72.24 c. 49.11 d. 100.02 Q.38 The optimistic, most likely and pessimistic time estimates of an activity are 5, 10 and 21 days respectively. What are the expected time and standard deviation?
Attempt Correct Correct Ans. c Video Solution Solution a. 12, 3 b. 11, 4 c. 11, 2.67 d. 10, 16 Q.39
Attempt Correct Correct Ans. c Video Solution Solution A cup of 10 mm height is drawn from a sheet diameter 15 mm. The first and second draws have reduction of 45% and 30% respectively followed by reductions of 15% for further draw. The number of draws necessary is a. 1 b. 2 c. 3 d. 4 Q.40
Not Attempt Correct Ans. b Video Solution Solution ECM of iron having 25 × 25 mm2 cross section is done. Using following specification Atomic weight = 55.85 gm valency = 2 density = 7.86 g/cm3 The gap between the tool and the workpiece = 0.25 mm Supply voltage = 12 V Specific resistance of the electrolyte = 3 Ω cm The material removal rate will be a. 4.38 cm3/min b. 2.19 cm3/min c. 6.51 cm3/min d. 3.75 cm3/min Q.41 Service workshop has four jobs on hand to be processed. The date and processing time for each of the jobs are given below: Using the shortest processing time (SPT) rule, total tardiness is a. 14 b. 16 c. 20 d. 18
Attempt Correct Correct Ans. d Video Solution Solution Q.42
Attempt Incorrect Your Ans. b Correct Ans. c Solution A frame shown in figure, subjected to a horizontal force P. Consider only bending effects, the horizontal displacement of point B is a. b. c. d. Q.43
Attempt Correct Correct Ans. b Video Solution Solution The air pressure to make the pressure at N one third of that at M. a. 0.1 kPa b. 0.3 kPa c. 0.2 kPa d. 0.4 kPa Q.44 A nozzle is designed such that the velocity in the nozzle varies as
Attempt Correct Correct Ans. c Video Solution Solution Where u0 is the velocity at the entrance and L is the nozzle length. The velocity is uniform across each section. What is the acceleration at the station halfway through the nozzle? a. b. c. d. Q.45
Attempt Incorrect Your Ans. c Correct Ans. d
Solution Video Solution In the figure shown, the efficiency of the Otto cycle is given by Where, r = compression ratio, γ = ratio of specific heats, HR = heat rejected and WD = work done a. 1 only b. 2 only c. 2 & 3 only d. All of these
Q.46 In a springmassdamper single degree of freedom system, the mass is 2 kg and the undamped natural frequency is 20 Hz. The critical damping constant of the system is
a. 503 N.s/m b. 725 N.s/m c. 1001 N.s/m d. 1500 N.s/m
Attempt Correct Correct Ans. a Video Solution Solution Q.47
Not Attempt Correct Ans. d Video Solution Solution The wall of an industrial drying oven is constructed by sandwiching 0.05 m, thick insulation, having a thermal conductivity K = 0.05 W/mK, between thin metal sheets. At steady state, the inner metal sheet is at T1 = 900 K and the outer sheet is at T2 = 600 K. Temperature varies linearly through the wall. The temperature of the surroundings away from the oven is 300 K. What is the rate of exergy destruction within the wall? a. 0.1 kW/m2 b. 0.01 kW/m2 c. 0.03 kW/m2 d. 0.05 kW/m2 Q.48
Attempt Correct Correct Ans. d Video Solution Solution If then which among the following inferences is correct a. All the processes of the cycle are irreversible b. All the processes of the cycle can be irreversible c. All the processes of the cycle can be reversible d. All the processes of the cycle must be reversible Q.49
Attempt Incorrect Your Ans. c Correct Ans. d
Solution Video Solution
Which of the following statement is correct
1. Thermal conductivity of a gas increases with increasing molecular weight. 2. Thermal conductivity of metal decreases with increase in temperature.
3. Thermal conductivity of nonmetallic liquids generally decreases with increasing temperature. a. 1 ,2 and 3 b. 1 and 3 only c. 1, 2 only d. 2, and 3 only Q.50 The general solution of x2y″ – 5xy ′ + 9y = 0 is a. b. c. d.
Attempt Incorrect Your Ans. a Correct Ans. b
Solution Video Solution
Q.51
Not Attempt Correct Ans. c Video Solution Solution The value of integral , where C is the circle a. 0 b. –2π i c. –π 2 i d. 2π i Q.52
Not Attempt Correct Ans. 0.1139(0.09 0.13) Solution A full journal bearing has a nominal diameter of 50 mm and a bearing length of 25 mm. The bearing supports a load of 3000 N and the speed of the journal is 3000 rpm, and the radial clearance specified as 0.04 mm. SAE 10 oil has been chosen at 60°C temperature. The viscosity is 0.014 Pas. The Sommerfeld number is ____________.
Q.53
Not Attempt Correct Ans. 1.009(0.9 1.1) Video Solution Solution In an interchangeable assembly of hole and shaft, maximum clearance is thrice the minimum clearance and hole tolerance is twice of shaft tolerance. If basic size of hole and shaft tolerance is 20.00 mm and 0.04 mm respectively, then ratio of NOGO plug gauge to NOGO ring gauge (neglecting gauge tolerance and wear allowance) is ____________.
Q.54
Attempt Correct Correct Ans. 2 (1.9 2.1) Video Solution Solution A Carnot engine having 50% efficiency drives a Carnot refrigerator with Coefficient of Performance (COP) 4. The heat energy abstracted by the refrigerator from the cold body for each kJ of energy absorbed from the source by the Carnot engine is ________ kJ.
Q.55 An ideal Rankine cycle operates between the pressure limits of 10 kPa and 5 MPa, with a turbine inlet temperature of 600°C. The The heat rejected in the condenser is ____________kJ/kg.
Not Attempt Correct Ans. 2109.83(2107 2115) Solution Q.56
Not Attempt Correct Ans. 59.3(59 60) Video Solution Solution Air in an ideal diesel cycle is compressed from 2 litre to 0.13 litre, and then it expands during the constant pressure heat addition process to 0.30 litre. Under cold air standard conditions, the thermal efficiency of this cycle is _________%.
Q.57
Not Attempt Correct Ans. 0.272 (0.260 0.280) Solution A square plate of size 1 m × 1 m is loaded as shown in figure. O is the center of the plate. OC and OD plane are 30° to x and y direction respectively before the loading. For Young’s modulus 150 GPa and shear modulus 60 GPa, the change in angle between planes OC and OD after the application of stress in radian will be ________ × 10–3.
Q.58
Attempt Incorrect Your Ans. 4.48 Correct Ans. 4.48(4 5)
Solution Video Solution
Oil having dynamic viscosity 0.08 kg/ms flows through 100 mm diameter pipe. The laminar flow velocity distribution is given by
The shear stress at the wall is ____________ N/m2.
Not Attempt Correct Ans. 7.48(7 8) Video Solution Solution In a ‘rack and pinion’ arrangement pinion has 32 involute teeth and 4 mm module drives a rack. The pressure angle is 20°. The addendum of both pinion and rack is same. The maximum permissible value of the addendum to avoid interference is _____________ mm.
Q.60
Attempt Correct Correct Ans. 31.4(30 33) Video Solution Solution The torque developed by an I.C. engine is given by
T = (1000 + 300 sin2θ – 500 cos2θ) Nm
Where θ is the angle turned by the crank from Inner dead centre. The engine speed is 300 rpm. The mass of flywheel is 200 kg and radius of gyration is 400 mm. Power developed by the engine is ____________ kW.
Q.61
Attempt Incorrect Your Ans. 694.117 Correct Ans. 686.98(680 690)
Solution Video Solution Two bodies A and B of thermal capacities 0.8 and 0.9 kJ/K respectively are brought to same temperature by means of a reversible heat engine. If initial temperature of body A and B are 800 K and 600 K respectively. Then the final temperature of each body will be _________ K. Q.62
Not Attempt Correct Ans. 61 (60 62) Video Solution Solution Water enters a 2.5 cm internal diameter thin copper tube of a heat exchanger at 15° C at a rate of 0.3 kg/sec and is heated by steam condensing outside at 120° C. If the average heat transfer coefficient is 800 W/m2K, the length of the tube required in order to heat the water to 115 ° C is _________m.
Q.63
Attempt Correct Correct Ans. 10 Video Solution Solution For the truss shown in the figure, if P = 10 kN, the force in the member QR is __________kN.
Q.64 Let the random variable X follows binomial distribution with B (5, p) such that P (X = 2) = 2 P (X = 3), then the variance of X is ________.
Not Attempt Correct Ans. 1.111 (1.01 1.18) Video Solution Solution Q.65
Attempt Incorrect Your Ans. 5032 Correct Ans. 560
Solution Video Solution
The following table gives the velocity v of a particle at time t.
The distance moved by the particle in 12 sec as computed by Trapezoidal method is _________ m.
