Practice Test: Mechanical Engineering (ME)- 8 - Mechanical Engineering

In the following question, out of the four alternatives, select the word opposite in meaning to the given word.Turgid

Direction: Read the information carefully and give the answer of the following questions:
Total number of children  = 2000

If two-ninths of the children who play football are females, then the number of male football children is approximately what percent of the total number of children who play cricket?

Direction: Study the following information carefully and answer the given questions:
The following pie chart shows the percentage distribution of total number of Apples (Dry + Wet) sold in different days of a week :

The pie chart2 shows the percentage distribution of total number of Apples (Wet) sold in different days of a week.

Find the ratio of Apples (Dry + Wet) sold on Tuesday to that of the Apples (Wet) sold on Thursday?

Directions: In each of the questions below, some statements are given followed by some conclusions. You have to consider the statements to be true even if they seem to be at variance with commonly known facts. You have to decide which of the following conclusions logically follows from the given statements. Give answer.
Statements:
Some jacket is shirt.
Some shirts are trouser.
No shoes are t-shirt.
All trousers are shoes.
All pants are t-shirt.
Conclusions:
I. All shirts being t-shirt is a possibility.
II. Some shoes are trouser.
III. Some jackets are t-shirt.
IV. Some shirts being t-shirt is a possibility.

The question below consists of a set of labelled sentences. These sentences, when properly sequenced form a coherent paragraph. Select the most logical order of sentences from among the options.
P: July 1969 was to see a transformed Indira Gandhi.
Q: Quite a few people contributed with ideas.
R: She sounded the bugle through her historic ‘Note on Economic Policy and Programme’ that was
circulated among delegates at Bangalore on July 9, 1969.
S: But the pivot was P.N.Haksar who gave shape, structure and substance with the help of some of his
colleagues in the Prime Minister’s Secretariat.

Direction: Which of the following is the MOST SIMILAR in meaning to the given word?
Remnant

Direction: Study the following information carefully and answer the given questions.

Seven people, P, Q, R, S, T, W and X sitting in a straight line facing north, not necessarily in the same order. R sits at one of the extreme ends of the line. T has as many people sitting on his right, as on his left. S sits third to the left of X. Q sits on the immediate left of W. Q does not sit at any of the extreme ends of the line.
If all the people are made to sit in alphabetical order from right to left, the positions of how many people will remain unchanged?

A wooden block (relative density = 0.65) floats above surface of a liquid of relative density of 1.35, contained in a tank. The volume fraction of metallic piece lies above the liquid surface is

Match the following lists and choose the correct answer using the codes given below

In a 1:36 scale model test of a spillway, discharge of flow over the model is 6 m³/s. If the velocity of flow over model was found to be 5 knots, then the velocity of flow over prototype in m/s will be

A cylindrical pipe is made up of copper having E=120 Gpa and A=110 mm2. This cylindrical tube is covered with an aluminum tube having E=70 Gpa and A=70 mm2. If the two assembly are in parallel and is loaded with a force of 70 KN. Find the deflection of the whole assembly under this loading. Given length of the tube is 500 mm.

A bar of uniformly tapering section with 75 mm and 150 mm diameter, is held between two parallel end supports 6 m apart. If the length of the bar is 5.998 m, then stress induced in the bar for a temperature change of 30^oC will be (Take coefficient of thermal expansion =12×10^-6 per ^oC and E = 2×10⁵ N/mm²)

A spherical body of diameter 750mm of initial temperature 25℃ is immersed in the fluid at temperature 400℃. Thermo physical properties of the body are k=22W/m-K, c=400 J/kg and ρ=9000kg/m³ (Regular notations used). Determine the time (in seconds) when the temperature will become 390℃, given the convective heat transfer coefficient between body and fluid is 300W/m².

Which of the following statement is correct regarding transportation

Consider a project given below

The variance for the project will be

Guest’s theory of failure is best suited for

In automobiles, the brakes used in hand braking systems are usually

In AJM process nozzle tip distance changes with MRR

A 50mm thick strip rolled to 30mm thickness in 3 passes with equal reduction in each pass by using rolls of 600mm diameter, what is the minimum coefficient of friction required for rolling operation________.

A rectangular hole of size 50mm x 60mm is to be made on a 8 mm thick sheet having ultimate tensile strength and sheer strength of 500MPa & 300MPa respectively the punching force required (in KN) is__________.

Which of the following is not related to soldering operation:

A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm is

Hardenability of steel can be improved by adding which of the following element

The value of sensitivity for an isochronous governor is

Match list I (terms) with list II (definition) and select the correct answer using the codes given below the lists:
List I
A) Base circle
B) Trace point
C) Pitch point
D) Prime circle
List II
I. Smallest circle that can be draw from the centre of cam and tangent to pitch curve
II. Smallest circle that can be draw from the centre of cam through the pitch points
III. Point on pitch curve having the maximum pressure angle
IV. Point on pitch curve having the minimum pressure angle
V. Smallest circle that can be draw to the cam profile
VI. Reference point on follower and used to generate pitch curve
Codes:
A B C D

A milk chilling unit can remove heat from the milk at the rate of 42 MJ/h. The rate of heat leakage into the milk from the surrounding is 4.2 MJ/h. The specific heat of milk above the freezing point is 4.2 kJ/kg K and below the freezing point is 2.1 kJ/kg K. The freezing point of milk is -2 ^oc and the latent heat is 100 kJ/kg. The time required (in min) for cooling a batch of 100 kg milk from 47 ^oc to -5 ^oc is

A power plant operating on a closed Brayton cycle operates between pressure of 1 bar and 8 bar. Compression and Expansion both are isentropic. The heat absorbed by the coolant per kg kW output of air which is used to cool the air after expansion in turbine is_____

The matrix 3×3 matrix A is transformed to the diagonal matrix D = P^-1AP, where, P The possible Eigen vector of A is

The value of the integral evaluated around the closed curve |z-3| = 1 is

If 5 unbiased dice are thrown simultaneously, the probability of obtaining exactly two sixes is

The velocity vector is given as  The divergence of this velocity vector at (1,1,1)

The volume of solid bounded by the surface x = 0, y = 0 and x + y + z =4 and z = 0 is

An airplane, travels through still air at 300 km/hr, is having two propellers of 2.5 m diameter. Take density of still air as 1.22 kg/m³. The difference of pressure (in kPa) across a propeller, if discharge through each propeller is 480 m³/s, will be

Water of mass density 1000 kg/m³ is transported using a pipe of diameter 40 cm. Flow in the pipe is turbulent. If the flow velocity at the centre and that at a 5 cm distance from centre of pipe are 5 m/s and 4 m/s respectively, then the value of wall shear stress (in Pa) will be

A single acting reciprocating pump has a piston of 15 cm diameter and 22.5 cm stroke. The pump is required to deliver 0.29 m³ of water per minute at 75 rpm. If the suction and delivery heads are 3 m and 10 m respectively, then the percentage of slip of pump is

The tensile stress at the bottom edge of a cast iron beam shown in figure is 50 MPa when it is subjected to a bending moment. The value of stress (in MPa) at the top will be

Consider the beam in figure given below. The reaction at point C and rotation at point B will be (flexural rigidity of beam = EI)

A thin cylindrical vessel of 3.2 m diameter and 5 m long is subjected to a circumferential tensile stress of 140 N/mm² and axial tensile stress of 70 N/mm². If the volumetric strain of the vessel is 14×10^-4, then the Poisson’s ratio of the material will be (Neglect the compressive stress on the walls and take E = 2×10⁵ N/mm²)

A 5 mm diameter and 4 m length steel wire is submerged in a fluid at 60^oC. The conductivity and resistivity of wire is 20 W/m-deg and 70 micro-ohm-cm. If 600 amperes electric current passes through it and conductance at wire surface is 4 kW/m²-deg, then maximum temperature of the wire is

In a certain heat exchanger, cold fluid enters at 40^oC and rate of the flow is 1650 kg/hr. The hot fluid is at a temperature of 130^oC and cold fluid leaves the heat exchanger at 90^oC. Specific heat of the cold fluid is 3.5 kJ/kg-K. If heat transfer area is 0.707 m², then the overall heat transfer coefficient is

Find the net value of heat flux between two parallel, infinite plates having emissivity of 0.75 and 0.7. The planes are maintained at 450 K and 500 K.

A parallelepiped enclosure measures 3 m × 3.5 m with 4 m height. The bottom floor having 0.75 emissivity is maintained at 380 K and all other surfaces (emissivity = 0.8) are maintained at 505 K. The net radiation (in kW) to the floor will be

A hot plate of 40 cm × 40 cm maintained at 90^oC is exposed to ambient air at 30^oC. The appropriate correlation for the convective coefficient is

The properties of ambient air at 60^oC are given as
thermal conductivity = 0.028 W/m-deg, c_p = 1.008 kJ/kg-K,
mass density = 1.06 kg/m³, kinematic viscosity = 18.97×10^-6 m²/s.
If the plate is kept vertical, the value of convective heat transfer coefficient will be

A ball pen manufacturer produces refill and barrel. The work department is capable of producing 20000 refills or 10000 barrels or any other combinations of these per week. The demand for refills and barrels is limited to 15000 and 8000 units per week respectively. The profit per unit from refill is 1 rs. And that from barrel is 3 rs. The maximum profit to the manufacturer in rupees will be

Exponential smoothening method with smoothening index 0.4 is used to determine the forecast of certain product. The demand for August, September, October and November were 210, 220, 200 and 230 units respectively. Find the forecast for the month of December if the forecast of August was 250 units.

A steel shaft of 75 mm diameter and 630 MPa ultimate tensile strength is subjected to a torque which varies from 1500 N-m to -950 N-m. Assume the yield stress for steel in reversed bending as 510 N/mm², surface finish factor as 0.87, size factor as 0.85 and fatigue stress concentration factor as 1. The factor of safety using Soderberg criteria will be

Consider the following figure of welded joint. If the allowable shear stress is 105 MPa for static loading and value of static load P is 350 kN, then the length (in mm) of the bottom weld will be

A shaft of 300 mm diameter is carrying a load of 20 kN at 2000 rpm. A bearing of 450 mm length supporting the shaft. The absolute viscosity of lubricating oil is 0.011 kg/m-s at the operating temperature and diametral clearance of the bearing is 0.30 mm. The power loss in bearing due to friction will be

A 150 mm diameter blind hole is to be drilled upto 60mm depth at a speed of 500 rpm and feed 0.2 mm per revolution, point angle of drill is 110⁰ . Machining time per hole (minute) __

A cast steel slab of dimension 40 x 20 x 10 cm, is poured horizontally using side riser. The riser is cylindrical in shape with diameter and height both equal to 20 cm.Then the freezing ratio is___.

In a circuit box, a copper rod at room temperature of 25^o C has a gap of 0.3 mm between the end of the rod Q and the rigid wall. If temperature of the rod increases to 70^o C ,then what is the compressive stress acting on the rod PQ(Mpa)? (Assume Young's modulus = 100 Gpa & α = 15 x 10^–6 /^oC)
 

A homogeneous solid disc of mass M and radius r is connected to a spring (spring constant =K) at a point a above the centre of the disc on an inclined plane as shown in figure. The other end of the spring is fixed to the vertical wall. If the disc rolls without slipping then the natural frequency of the spring in rad/s is

Load is gradually applied on a steel plate shown below, what is the modulus of resilience, if 130 N/mm² is the maximum stress applied? (Assume E = 100 x 10³ Mpa)

A quantity of air initially at 1.5 bar, 27⁰C brought to a final temperature of 127 ⁰C by heat transfer from a thermal reservoir at 227 ⁰C. The irreversibility is (take atmospheric temperature = 27 ⁰C, atmospheric pressure = 1 bar, C_p = 1.005 kJ/kgK, C_v = 0.718 kJ/kgK)

An unsaturated air enters in an insulated chamber at 32⁰C where it flows over a long sheet of water and becomes cooled to 26⁰C, which is adiabatic saturation temperature. The total pressure of the mixture remains constant at 100 kPa. The corresponding pressure to saturation temperature is 3.363 kPa. The humidity ratio at the entry of chamber is (in kg vap/kg dry air)
Given data: C_p of air = 1.005 kJ/kgK
At 32⁰C, h_v1 = 2559.9 kJ/kg,
At 26⁰C, h_fg2 = 2439.9 kJ/kg, h_f2 = 109.1 kJ/kg

A four stroke double acting petrol engine is used 90 kW brake power on a job. The engine used 40 kg/h of fuel under working condition and its mechanical efficiency is 75%. If the engine friction power reduces by 10 kW then the saving of fuel (in kg/h) is (assume, indicated thermal efficiency remain constant)

The force in the member BD and CD respectively are

A ball of mass M strikes the floor with a speed of V m/s at an angle of incidence θ with the normal as shown in figure. The coefficient of restitution is e. The speed of the reflected ball and the angle of reflection of ball respectively are

The function, f (x) =2 Inx, satisfies the Lagrange’s Mean Value Theorem in the interval x∈  [1, 5] then the value of x is

A function follows the following equation

The Laplace transform of f(t) is

Consider the following differential equation

If y (2) = 1 then the value of y (2.2) using Runge- Kutta third order method is

An ideal gas of mass 0.5 kg has a pressure of 600 kPa, a temperature of 77⁰C and a volume of 0.08 m³. This gas undergoes an irreversible process to a final pressure of 600 kPa and final volume of 0.12 m³, during which the heat addition and work done on gas are 2 kJ and 30 kJ respectively. The value of C_v of gas is