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Mr. Rammurthy starts a business investing 250000 in year 1998. In year 1999 he invested an additional amount of 100000 and Mr. Siddharth Rau joined him with an amount of 350000. In year 2000. Mr. Rammurthy invested another additional amount of 100000 and Mr. Rajan Babu joined them with an amount of 350000. What will be Siddharth Rai’s share in the profit of 1500000 earned at the end of three years from the start of the business in 19988?
What is the difference between the compound interest and simple interest on Rs. 4000 at 5% per annum for 2 years?
In the following question, out of the five alternatives, select the word similar in meaning to the given word.
Sedition
Two pipes A and B can fill a tank in 36 min and 45 min respectively. A waste pipe C can empty the tank in 30 min. If all the pipes are opened together then the tank will be full in how much time?
Direction: In each question, a sentence with four words printed in bold are given. These are numbered as (1), (2), and (3). One of these four words printed in bold may be either wrongly spelt or inappropriate in the context of the sentence. Find out the word, if any, which is wrongly spelt or inappropriate. The number of that word is the answer. If all the words printed in bold are correctly spelt and appropriate in the context of the sentence, mark (4), i.e., 'All correct' as the answer.
No incidence of violence (1)/ occurred during the protests (2)/ against the Government’s (3)/ All correct (4)
In the following question, select the related word pair from the given alternatives.
? : Sun :: Rain : ?
72% of the students of a certain class took Biology and 44% took Mathematics. If each student took at least one of Biology or Mathematics and 40 students took both of these subjects, the total number of students in the class is?
Study the following paragraph and answer the given questions.
Fashion has become one of the largest fads among the youth. The amount of time wastage and expenditure on fashion is very large. What bothes however is the fact that fashion is here to stay despite countless arguments against it. What is required therefore is that strong efforts should be made in order to displace excessive craze of fashion from the minds of today's youth.
Which of the following statements finds least support by the argument made by the author in the given paragraph?
Direction: Find out the number of students who play only cricket.
Note : Total number of students  (25 +22) = 47
If the uncle of the father of Rani is the grandson of the father of Anup and Anup is the only son of his father, then what is the relation of Anup with Rani?
A copper rod 400mm long is pulled in tension to a length of 401.2 mm by applying a tensile stress of 330 MPa. Then Young’s modulus of copper is
Find optimum order quantity where annual demand is 400 and ordering cost is 250 per order Carrying cost per unit 2%.
Consider the following statements:
P: Casting yield is kept minimum while designing a gating system.
Q: Gating ratio of 4:1:1 corresponds to a pressurised gating system.
R: Possibility of air aspiration effect is more in unpressurised gating system
S: Pressurised gating system can only be used for non ferrous castings
Which of above statements are correct?
The general solution of the differential equation with C_{1} and C_{2} as constants are:
A square bar with tapered length having circular cross section area having diameter 10 cm and 20 cm at two ends and length of the bar is 80 cm is subjected to a tensile force of 50 KN. If the bar is made up of steel having modulus of elasticity 200GPa, Find the elongation of the tapered bar (in mm) _______.
A stone is dropped from a balloon going up with a uniform velocity of 10 m/s. if the balloon was 40 m high when the stone was dropped, the height of balloon from the ground when the stone hits the ground is (take g = 10 m/s^{2})
A banner hoarding having dimensions 2m × 2m is kept vertical by a 5m long pillar. Air blowing at 5 m/s is striking directly to the banner. If the maximum moment the pillar can withstand is 100 Nm. To reduce the drag force holes need to be cut out from the hoarding with a punch of 10 cm diameter. If the air drag coefficient is 0.5, then the total number of holes need to be cut out are
An double slider chain mechanism with the slotted link of length 5 units FIXED. A point on the link traces a curve which has a slope dy/dx = 2√3 eat the point (√3/2,1). Find the equation of the curve.
A slender bar of 100 mm^{2} crosssection is subjected to loading as shown in the figure. If the modulus of elasticity is taken as 200 × 10^{9} Pa, then the elongation produced in the bar will be ____ mm.
The resultant of two vectors when acting at right angles is 10kN. If they act at 600 their resultant is 5√6 kN. Find the magnitude of individual vectors.
Two coins are tossed once, where E :no tail appears, F : no head appears. Find P(E/F).
For a beam simply supported at ends, carrying UDL, the ratio of maximum principal stress at extreme fibre to maximum principal stress at neutral axis is___. The beam is square and length is 10 times the side of square.
A body is said to be provided optimum amount of streamlining when ______.
At a production machine, parts arrive according to a Poisson process at the rate of 0.35 parts per minute. Processing time for parts have exponential distribution with mean of 2 min. What is the probability that a random part arrival ﬁnds that there are already 8 parts in the system (in machine + in queue)?
A Circular beam, 50 mm in diameter, is welded to the support by means of circumferential fillet weld as shown in the diagram. It is subjected to a eccentric load of 20kN at a distance of 100mm parallel to support and at distance of 200mm away from the support. Thickness of the weld is 10mm. Find Maximum principal stress at weld on XX plane.
The turbine rotor of a ship has a mass of 5000 kg and its radius of gyration is 500 mm. The turbine rotor rotates at 1500 rpm in counterclockwise direction (view from stern or rear end). If the ship travels at a speed of 90 km/h and steer to the left in a curve of 100 m then the gyroscopic couple on the ship and its effect respectively are
Consider following statements:
I) A gas is said to be an ideal gas when intermolecular forces are zero.
II) A gas behaves as an ideal gas under high temperature and high pressure.
III For an ideal gas, the temperature variation w. r. t. pressure during throttling condition is zero.
IV) A gas cools during expansion only when the Joule Thomson coefficient is negative.
Which of the following statements is/are correct?
Two castings of the same metal have the same surface area. One castings is in the form of a sphere and the other is a cube. What is the ratio of the solidification time for the sphere to that of the cube?
The uniform rod in figure weighs 400 N, length of the rod is 12 m
Determine the angle ɵ in degrees.
The system of equations x  4y + 7z = 12 , 3x + 8y  2z = 10, 26 z  8y = 6
A bar of length 2.1m and diameter 38mm is subjected to pure torsion. If the shear modulus of the material is 41GPa, calculate the torsional stiffness of the bar.
Two shafts of same material and same length are connected in series and subjected to a torque of 20 kNm. If the ratio of their diameters is 1:3 then the ratio of their angles of twist is:
The temperature of two thermometers A and B are t_{A} and t_{B}. The reading t a and t_{B} agree at the ice point and steam point and are related as
Where, a,b and c are constants and t_{A} and t_{B} are in ^{∘}C The thermometers A and B, bath are immersed in a fluid and reads 45^{∘}C
and 47^{∘}C respectively. The thermometer reading A, when the thermometer B reads 22^{∘}C
A shaft compressed all round by a hub will have a Mohr’s circle as __________.
Steam flows at the rate of 5m^{3}/s at a particular section in a reaction turbine where the diameter of blade is 2m and the velocity of flow is 6m/s. What is the blade height of section _________mm.
A conical valve of weight 3 kN is used to stop the flow of water from bottom the tank as shown in the figure. Find the force F (in kN) required to stop the flow of water from the bottom of the tank.
Far the Froude model law 1/25 model of a pipe is to be tested. If the discharge is 300m^{3}/s, then the discharge at which the model must be tested is ……….m^{3}/s?
The pressure on the fluid is 3 MPa. The Young’s modulus is 210 GPa and the Poisson’s ratio is 0.25, the volumetric compressive strain produced is
If there are two materials A & B, for material “A”, Young’s modulus is twice the Shear modulus & for “B” Young’s modulus is thrice the bulk modulus, then μ_{A} & μ_{B} respectively are
Consider a stepped shaft subjected to a twisting moment applied at B & C as shown in the figure. Assume shear modulus, G = 80 GPa. The angle of twist at D (in degrees) is ______ (corrected up to 3 decimal places)
In an epicyclic gear train, an arm carries two gears A and B having 36 and 45 teeth respectively. If the arm rotates at 150 r.p. m. in the anticlockwise direction about the centre of the gear A which is fixed, determine the speed of gear B. If the gear A instead of being fixed, makes 300 r.p.m. in the clockwise direction, what will be the speed of gear B?
The cost parameters and other factor for a production inventory system of automobile factory are
Demand / year = 6000 units
Unit cost = Rs. 40/
Setup cost (order cost) = Rs. 500/ set up
Production rate/ year = 36000 units
Holding cost/unit/year = Rs. 8/
Shortage cost/unit/year = Rs. 20/
The optimal lot size would be _____ units.
The number of degrees of freedom for the mechanism shown will be.
A laminar fully developed fluid (k = 0.175 W/mK) flow inside a 6 mm internal diameter tube under uniform wall temperature boundary conditions. Compute the heat transfer rate between the tube walls and the fluid for a length of 8 m if the mean temperature difference between the wall and the fluid is 50 °C.
A grinding operation requires 5 kW of power to be carried by the motor. The material removal rate is given as 23.65 mm3/sec and the grinding ratio is given as 12. Find the wear rate of the grinding grains of the grinding wheel.
In the figure shown, the input M has a 48 teeth, B and D constitute a compound planet having 60 and 36 teeth respectively.
If all the gears are of same pitch, find the ratio of speeds of gear M to gear L, assuming N to be fixed.
A large turbine generates a power of 1000 kW under a head of 50 m. A 1/5th model of a hydraulic turbine is tested against a head of 10 m. The power developed (kW) and the discharge flow rate (m3/s) by the model are
Two streams of fluids of unit constant specific heat and unit mass flow rate exchange thermal energy in an adiabatic heat exchanger. The inlet temperature of hot and cold fluid streams is 300 0C and 30 0C respectively. The effectiveness of the heat exchanger if the outlet temperature of both the fluid are equal is
Oil of viscosity 0.085 Ns/m^{2} is filled between two 120 cm long concentric cylinders having inner and outer radius as 5cm and 6cm. If the inner cylinder is fixed and outer cylinder, I rotate at 900 rpm. If the inner cylinder is also rotating at 500 rpm in the same direction as that of outer cylinder. Then percentage reduction in shear stress is
The following table shows the unit cost of transportation associated from ith source to jth destination. The demand and supply at different location are also given in table. The initial basic feasible solution using Vogel’s approximation method is
Five jobs are to be assigned at a particular firm. Their work (processing) time and due dates are given in the following table. If the sequence of processing is according to earliest due date (EDD) then the average no. of jobs in the system is
The principal stresses at a point inside a solid object are σ_{1} = 100 MPa, σ_{2} = 100 MPa and σ_{3} = 0MPa. The yield strength of the material is 200 MPa. The factor of safety calculated using Tresca theory is nT and the factor of safety calculated using VonMises theory is nV. Which one of the following relations is TRUE?
The inner and outer diameters of a multiple plate clutch disc are 100 mm and 200 mm respectively. The friction coefficient and permissible intensity of pressure is 0.2 and 1 MPa. The no. of pair of contacting surfaces if the torque carrying capacity of clutch at 750 rpm is 1.1 KNm (assume uniform pressure theory)
A closecoiled helical spring, made out of a 10 mm diameter steel wire, has 20 complete coils each of mean diameter of 100 mm. A weight of 10 kg is dropped onto the spring, compresses it 60 mm, then height from which the weight is dropped (in mm) will be (take G = 85000 MPa)
In a machining experiment, the tool life was found to vary with cutting speed in following manner
If tool changing time is 3 minutes, then the optimum value of cutting speed (in m/min) for maximum productivity is
A sprue with gate diameter of 5 cm is used to fill a 80 cm diameter and 50 cm high cylindrical casting. If the head available for filling metal is 75 cm, then the minimum time taken in seconds to fill up the casting is
In a wire drawing operation the 12 mm dia. wire is reduce to 8 mm. Mean flow stress is taken 500 MPa, drawing load and stress required for wire drawing operation respectively.
A shaft has a dimension of the respective values of upper deviation, lower deviation and mean deviation.
A CNC part programming on a block is given by
M020 G02 X45.0 Y25.0 R5.0
The tool motion during the execution of the part programme will be
Three masses m1, m2 and m3 of magnitude 50 kg, 100 kg and 200 kg are connected to a rotating shaft. The corresponding radiuses of rotation are 0.4 m; 0.2 m and 0.1 m respectively and angle between successive masses are 60 and 150. What is the magnitude of balancing mass if its radius of rotation is 0.3 m?
A mass M, of 20 kg is attached to the free end of a steel cantilever beam of length 1000 mm having a crosssection of 25 × 25 mm. Assume the mass of the cantilever to be negligible and E_{steel} = 200GPa. If the lateral vibration of this system is critically damped using a viscous damper, the damping constant of the damper is
In aqua ammonia absorption refrigeration system, the temperature to be maintained in the refrigerator is −5^{∘}C and the ambient temperature is 27^{∘}C. If the actual COP is 50% af the maximum COP and the heat supply to generator is 120KW at 110^{∘}C, then the refrigeration load is
In an ideal Brayton cycle with regeneration, air is compressed from 1 bar and 300 K to 4 bar and 450 K, is heated to 750 K in the regenerator, and then further heated to 1200 K before entering the turbine. Under coldair standard conditions, the effectiveness of the regenerator (in percentage) is _____ [Take γ = 1.3 for gas]
A 4stroke and 8 cylinder gas engine with a stroke volume of 2 litre develops 30 KW at 510 rpm. The indicated mean effective pressure is 600 KN/m^{2}. The average no. of times each cylinder misfired in one minute is
27 docs228 tests

27 docs228 tests
