Practice Test: Mechanical Engineering (ME)- 4 - Mechanical Engineering

Improve the sentence with suitable options by replacing the underlined word.

He "lay" on the grass enjoying the sunshine.

1. Fill in the blanks :

            At times, we are all ______ to be mistaken.

There are two solutions of wine and water, the concentration of wine being 0.4 and 0.6 respectively. If five liters of the first solution be mixed with fifteen liters of the second, find the concentration of wine in the resultant solution.

Rajiv bought some apples at the rate of 25 for Rs. 400 and an equal number at the rate of 30 for Rs. 270. He then sold all at the rate of 10 for Rs. 180. Find his profit/loss percentage

The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.

2 men and 3 boys can do a piece of work in 10 days, while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work ?

In an exam, 60% of the candidates passed in Maths and 70% candidates passed in English and 10% of the candidates failed in both the subjects, 300 candidates passed in both the subjects. Find the total number of candidates appeared in the exam, if they took test in only two subjects that is Math and English.

    is equal to

A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four tosses. 

Other Roots of the equation

if one root is same as one root of x² + 10x + 9 = 0

A speaks truth in 60% cases and B speaks truth in 70% cases. The probability that they will say the same thing while describing a single event is

While water passes through a given pipe at mean velocity V1. The flow is found to change from Laminar to turbulent. If another fluid of specific gravity 0.8 and coefficient of viscosity 20% of that of water, is passed through the same pipe, the transition of flow from Laminar to turbulent is expected if the flow velocity is

A cylinder contains 0.12 m3 of air at 1 bar and 90⁰c  . It is compressed to 0.03 m³, the final pressure being 6 bar. The index of compression will be   

The rpm of steel bar of 150 mm diameter which is turned at 50 m/min speed with carbide tool is.

 A nuclear fuel element is in the form of a solid sphere of 12.5 mm radius. It’s thermal conductivity is 24.2 W/mK. The heat generation rate is 50 × 10⁶ W/m³. The heat generated is     absorbed by a fluid at 200⁰C . If the maximum temperature is limited to 360⁰C , the convection coefficient (W/m²K) required is

Consider the PERT network shown  below:

The desired completion date for the project if probability of finishing the project is 19% (Z(0.87) = 0.19) is.

    In rolling process, roll diameter is 800 mm. The thickness of 60 mm strip is to be reduced to 40 mm in single pass. Coefficient of friction is

A gas expands from an initial state where the pressure is 340 kPa and volume is 0.0425 m³ to a final pressure of 136 kPa. If the gas follows PV² = c, then the work for the process (in kJ) will be.   

An item is produced at the rate of 50 items per day. The demand occurs at the rate of 25 items per day. If the setup cost is Rs. 100 per setup and holding cost is Rs 0.01 per unit of item per day. The economic lot size is:

In a pipe flow, the head loss due to friction is 6m. If the power transmitted through the pipe has to be maximum then the total head at the inlet will have to be maintained as. 

In a cutting operation, angle of approach is 75⁰  and feed is 0.32 mm/rev. The value of underformed chip thickness is.

Portion BC is semi-circular . If after several oscillation ball of mass 10 kg comes to rest. The bending moment at A when ball is at rest will be ? Take g = 9.81 m/s²

    An orthogonal cutting operation is being carried out under following conditions. Cutting speed = 4m/s, depth of cut = 0.5 mm,Chip thickness = 0.6 mm,Chip velocity is:-

A two stage compressor takes in air at 1.1 bars and discharges at 20 bars. For max efficiency, the intermediate pressure is.   

In case of Partial bearing, the angle of contact between the bush and journal is  

    In a tool life test, doubling the cutting speed reduces the tool life to   of the original. Taylor’s tool life index is. 

A fluid jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle is.

    The purpose of helical grooves in a twist drill is to
    1.    Improve the stiffness
    2.    Save  tool material
    3.    Provide space for chip removal
    4.    Provide rake angle for cutting edge
    Select the correct choice given below

A  heat engine receives heat from a source  at 1200 K at a rate of 500 kW and rejects waste heat to a medium at 300 K. The power output of heat engine is 180 kW. The irreversibility rate associated is.    

Consider the following statements about the v engine, when the angle between the cylinder center lines is 90⁰ .

    1.    The resultant unbalanced primary force is m r w²
    2.    Primary unbalance force can be completely balanced by a mass placed at a suitable radius diametrically opposite to the crank
    3.    Secondary unbalanced force along the engine centre line is zero
    4.    Resultant secondary unbalance force is zero.
    Which of the above statements is/are incorrect

 When the annual demand of a product is 2400 units, the EOQ is 2000 units. If the annual demand is 4800 units, the EOQ will be:

A cantilever beam AB shown in the figure has an extension BCD attached to the free end. A force P acts at the end of the extension. What is the ratio of a/L, so that vertical deflection at point B is zero?

For an analytic function f (x iy) = u (x, y) iv (x, y), u is given by u = 4xy+ x. The expression for V considering K to  be a constant

Consider the differential equation  with initial condition y (o) = 0. Taking step size of 0.1 the value of y at x = 0.1. Using fourth order Runge – kutta method

Which condition of Rankine cycle has highest efficiency when operating between same pressure limits?

The inverse Laplace transform of 

Find the natural frequency of vibration of the system

In Bell-Coleman refrigeration plant, air is drawn from cold chamber at pressure of  2 bar and 10⁰C  , then compressed to 10 bar and then cooled to 25⁰C in cooler before expansion in exparder. Refrigeration effect per kg of air is ( g = 1.4, CP = 1.09 kJ/kg K)       

A closed tank containing water is partly filled with water and the air space above it is under pressure. A 5 c.m. hose connected to the tank discharges water to atmosphere on to the roof of a building 3 m above the level of water in the tank, if friction losses are 1.5 m of water, what air pressure must be maintained in the tank to deliver 15 L/s to the roof?

Calculate the elongation of copper bar of solid circular cross-section with tapered ends when it is stretched by axial loads of magnitude of 30 kN.

Diameter at cross section  A, B, C and D are 0.5, 1, 1 and 0.5 cm respectively. Take E = 120 GPa

Cylindrical  tank of 1.0 m diameter and 5 m total length has hemispherical ends. It contains liquid oxygen which has boiling point and heat of vapourisation -180⁰C  and 210 kJ/kg respectively. It is required to insulate the tank so as to reduce the boit off rate of oxygen is steady state to 14 kg/h. Assume room temperature outside the insulation as 25⁰C. If the maximum thickness of the insulating material is limited to 70 mm, the thermal conductivity(W/m⁰C) is

Brass billet is to be extruded from its initial diameter of 40 mm to final diameter of 20 mm. The extrusion constant is 200 MPa. Force required for extrusion is

An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa, with eheat occurring at 4 MPa. The temperature of steam at the inlet of both turbines is 500⁰ C, and the enthalpy of steam is 3185 kJ/kg at the exit of the high pressure turbine, and 2247 kJ/kg at the exit of the low pressure turbine. Disregarding the pump work, the efficiency of the cycle is.

The structure is carrying a horizontal load P at E. Legs AB and CD are vertical. The stress resultants in AB segment are

Find entropy change of air in a polytropic equation where pressure is doubled & volume becomes one third. (C_p = 1 kJ/kgK, C_V= 0.7 kJ/kgK)

Number of chlorine atoms in R – 12 are:-

200 kW is transmitted by a single reduction gear. The pitch circle diameter of pinion is 200 mm and its speed 750 rpm. The teeth are of involute profile with pressure angle equal to 20⁰ .
The radial force acting on each wheel when transmitting the given power

In a engine working on otto cycle the temp. at the beginning and end of the compression are 50⁰C and 373⁰C . The compression ratio and air standard efficiency of the engine is.

In the production shop of a company the breakdown of the machine is found to follow poisson distribution with an average rate of 3 machines per hour. Break down time at one machine
costs 40 rupees per hour to the company. The company hires a repairman who demands rupees 20 per hour and will repair the broken down machines following the exponential distribution at the rate of 4 per hour. The total cost involved in hiring the repairman is

Figure shows the linear power characteristics, voltage and arc length is related to each other by a linear equation V = 20 + 2l. What is the value of current when arc length is 5 mm (l is in
mm).

If all the dimensions of a vertically subtended circular bar are doubled, then the maximum stress produced in it due to its own weight will

Particle A makes a perfectly elastic collision with another particle B at rest. They fly apart in opposite direction with equal speeds. The ratio of their masses is

A hole with 40 mm diameter and 50 mm depth is to be drilled in mild steel component. The cutting speed can be taken as 65 m/min and feed rate is 0.25 mm/rev. The time required to drill
the hole in minutes is [Take drill point angle118⁰ and over travel 3mm]

A flat steel bar with constant EI and length L it bent by couples applied at the ends so that the mid point deflection is δ(δ<<L). Then the value of applied couple M is?

The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m³/kg and 0.001 m³/kg . The latent heat of vaporization using clausius clapeyron equation is.

A steel washer is of 46 mm outer diameter and 24 mm inner hole diameter and is 4 mm thick.Maximum shear stress is 40.5 N/mm2 and percentage reduction is 22.Work done (in Joules) will be

In a PERT network the expected time to finish one activity is 22 days and variance of the activity is 16 days. The ratio of pessimistic time to optimistic time if most likely time for finishing the activity is 23 days is

In beam ABCD, there is a roller support at B abd C as shown in the figure. If 200 kN load is applied at the indicant of BC. The shear force at the support A will be

Which one of the following is not the correct statement about control volume?

Shaft is loaded with two point loads as shown

Transverse natural frequency if single load is applied is 100 Hz. Find the frequency if both loads are applied simultaneously

4800 kJ of heat is being transferred from constant temperature source at 800 K to another at 600 K when environment temperature is 200 K. The loss of available energy is.

In a certain double pipe heat exchanger hot water flow at a rate of 5000 kg/h. and gets cooled from 95⁰C to 65⁰C . At the same time,50000 kg/h of cooling water at 30⁰C enters the heat exchanger. The flow conditions, are such that overall heat transfer coefficient remains constant at 2270  W/m²K. Assume two streams are in parallel flow and for both the streams C_p = 4.2 kJ/kg K. The effective heat transfer area is