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A 300meterlong train passes a 450meterlong platform in 5 sec. If a man is walking at a speed of 4 m/sec along the track and the train is 100 m away from him, how much time will it take to reach the man?
A boat takes half the time moving a certain distance downstream than upstream. The ratio of the speed of the boat to that of the current is
Which of the following words is opposite to the word “connivance”?
Direction: A number is wrong in the following number series. Select the wrong number.
64, 130, 264, 536, 1076
Direction: Each statement has a blank followed by four options. Select the most appropriate word for the blank. Guru was always able to maintain a _______ face when he said something silly, and that contrast made everyone laugh.
A supermarket launched a scheme that if a customer purchases two CDs, one extra CD will be free and if he purchases 3 Mobiles he will get one extra Mobile free. If the cost price of 3 CD and 4 Mobile be Rs.6700 and Rs.232500 respectively. If a customer purchase 2 CD and 3 Mobile as per scheme he availed 1 product free of each category, then at what price these product should be sold so that the agency can get overall profit of 17.5%
In the following question, two/three statements are given followed by four conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
I. Some cats are owls.
II. Some owls are elephant.
Conclusion:
I. Some cats are elephant.
II. All owls are elephant.
In the following question, a set of labelled sentences is given. Out of the four alternatives, select the most logical order of the sentences to form a coherent paragraph.
(P) The over 11km MundkaBahadurgarh section of Delhi Metro’s Green Line, connecting the capital of Haryana, was inaugurated by the Prime Minister.
(Q) The rapidly growing industry in the area was waiting for Metro connectivity, said Mr.PM, adding that it would create new employment opportunities and benefit students.
(R) Built at a cost of Rs 2,028 crore, the MundkaBahadurgarh elevated section, with seven stations, is the third Metro extension between Delhi and Haryana.
S)Mr. Prime Minister said Bahadurgarh was known as the Gateway of Haryana and would now be the Gateway of Development with the advent of the Metro.
Study the information given below and answer the questions based on it.
Eight friends, A, B, C, D, E, F, G and H are sitting around a circle (not necessarily in the same order) facing the centre. B sits third to the left of F. E is an immediate neighbour of both B and H. Only one person sits between A and H. C and G are immediate neighbours of each other. Neither C nor G is an immediate neighbour of B. Only one person sits between C and D.
Who amongst the following is an immediate neighbour of both A and H?
Direction: Study the line graph carefully and answer the given questions.
The graph shows the total number of students who attended the exams and the total number of students who passed the exam in different years of school.
Note:
1. The total number of students enrolled in each year= The total number of students who appeared in the exam + The total number of students who didn’t appear in the exam
2. The total number of students who appeared in the exam= The total number of students passed in the exam + The total number of students who failed in the exam
What is the average number of students who failed over the years?
Determine the variation in tractive effort if the driving wheel diameter is 2m of a two cylinder locomotive. Consider the following parameters
Mass of reciprocating parts per cylinder = 300 kg
Distance between cylinder centre lines = 0.55 m
Crank radius = 0.2 m
Cranks are at angles = 90°
If the velocity of hammer blow is 80km/h and take c = 0.75
In a heat exchanger, the hot liquid enters with a temperature of 200°C and leaves at 180°C. The cooling fluid enters at 50°C and leaves at 130°C. The capacity ratio of the heat exchanger is __________.
Consider a signal x (t) given by , then x(t) is given by
A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F_{22}:
A cast steel slab of dimension 40×20×10 cm, is poured horizontally using a side riser. The riser is cylindrical in shape with diameter and height both equal to 20 cm. Then the freezing ratio is___.
Determine the magnitude of the moment transferred to the center of the pulley. If a differential pulley of diameters 400 mm and 200mm respectively are used, and is subjected to belt tensions.
The given eigen values of the following matrix are represented by λ_{1} and λ_{2}
A = The value of λ_{1}^{2} + λ_{2}^{2} + λ_{1}λ_{2} is ___.
A solid aluminium shaft, 5 cm diameter and 1 m long, is to be replaced by a tubular steel shaft of the same length and the same outside diameter (i.e. 5 cm), such that each of the two shaft could have the same angle of twist per unit torsional moment over the total length. Modulus of rigidity of steel is three times that of aluminium. The inner diameter of the tubular shaft is
Threaded Bolts B1 and B2 of similar length and material are subjected to similar tensile load. If the elastic strain energy stored in bolt B1 is 4 times as compared to bolt B2, then what will be the mean diameter of bolt B2. The mean diameter of bolt B1 is 20mm.
Which of the following are correct?
(P) Slenderness ratio is defined as the ratio of the effective length of the column to the minimum radius of the gyration
(Q) Euler’s formula is applicable for short columns
(R) Rankine’s constant for mild steel is 1/7500
A cantilever is subjected to a UDL the cross section of the beam is Hsection placed as shown in fig. The bending stress distribution across the cross section will be
A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300 K. The velocity of the fluid is 10 m/s. Assuming kinematic viscosity, ν = 30 × 10 − 6 m^{2}/s, the thermal boundary layer thickness (in mm) at 0.5 m from the leading edge is __________
A slot is to be milled by a side and face milling cutter with 10 teeth and of diameter 150 mm. the cutting speed is 50 m/min and feed is 0.95 mm/tooth. The table feed in mm/min will be
In the gear train of 1 : 10 as shown below, the pinion transmits 250 kW at 1800 rpm. What is the tangential load on the gear tooth?
Four technicians are required to do four different jobs. Estimates of time to complete every job provided by the technicians are as below
The minimum time to complete all jobs is _______.
An orifice meter consisting of 0.1m diameter orifice in a 0.25m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of the orifice plate is measured by the MercuryOil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic meters per second is
Oil having density of 800 Kg/m^{3} and viscosity of 0.2Ns/m^{2} is flowing through a pipeline of 50mm diameter at an average velocity of 2 m/s. The Darcy friction factor for the flow is
What is directional derivative of ∅ =xy^{2} + yz^{3} at P (2, 1,1) in the direction of a normal to the surface x log z  y^{2} = 4 at A (1, 2, 1)?
The pressure outside of the water droplet of diameter 0.06mm is 12 N/cm^{2}. Calculate the pressure within the droplet. The surface tension is given as 0.08N/m.
For exchanging notes in a bank 50 customers arrive in 60 min which follows Poisson's distribution and service time follows exponential distribution. Due to lack of notes there is a single window for exchange and serves as a first come first serve basis. Probability of more than 20 customers in the system is 0.3 then, how much mean time is required for exchanging notes for a customer on the counter?
A manometer contains a liquid having a specific gravity of 1.5. The gauge pressure at pt. A is 15kN/m^{2}, determine the pressure at point C (air column between point B and C)
Which of the following is True for this matrix A?
The power required to pump cooling water to the condenser is 20kW. Cooling water at 20℃ is flowing through CI pipe that is 0.8km long and 0.4m diameter at the rate of 0.07m^{3}/s. Calculate average velocity of flow.
Assume f (coefficient of friction) =0.02
A steel cube contracted on all six faces is heated so that the temperature rises uniformly by 40 ºC. If the thermal coefficient of the steel is 12 × 10^{6} per oC, Young’s modulus is 210GPa and the Poisson’s ratio is 0.28, the thermal stress developed in the cube due to heating is
A agroindustry has six different jobs a, b, c, d, e, f in process with promised deadlines of days 60, 72, 67, 72, 65, 70 but today is day 60 still work remaining for days of 2, 2, 2, 4, 5, 6 respectively. So, find the correct job sequence.
At a point in a material there are two direct stresses of 60 MPa tensile and 50 MPa compressive acting at right angles to each other. The greatest principal stress in the material is limited to 125 MPa in tension. To what shearing stress may the material be subjected on the given plane.
For a 50 mm shaft and hole pair designated H7 S8 the basic size lies in the range of 50 – 80 mm.
Date:ForTolerance
H_{7}16i
S_{8}25i
The fundamental deviation for ‘S ’ shaft is (IT7+0.4D) microns.
The allowance in mm will be
Two venturi meters, with the same manometers, of different area ratios are installed in the same pipeline. The reading of 1^{st }manometer is h and the area ratio is 2. If the 2nd manometer reads 8h, its area ratio is
Match the items in columns I and II.
A water sprinkler has an 8 mm diameter nozzle at either end of the rotating arm. It is discharging water at right angle to the rotating arm in opposite direction at a velocity of 10 m/s. If the axis of rotation is at a distance of 0.2 m from one end and 0.24 m from other end, then the angular velocity of arm is (neglect frictional effect)
A cantilever beam of length L and negligible mass, carries a mass (m) at the free end. If the same beam needs to be replaced with a spring mass system, the equivalent stiffness of the spring under the same mass (m) will be?
Maximum fluctuation of kinetic energy in an engine has been calculated to be 2600 J. Assuming that the engine runs at an average speed of 200 rpm, the polar mass moment of inertia (in kg. m2) of a flywheel to keep the speed fluctuation within ±0.5% of the average speed is______________?
If A is then A^{121}  A^{120} is?
Two dice are thrown. What is the probability that the sum of the numbers on the two dice is eight?
An aeroplane moving with a velocity of 300 kmph negotiates a turn along a circular path of radius 600 m. If the angular velocity of the rotating parts of the plane is 120 rad/s and the moment of inertia of the rotating parts is 60 kg.m^{2}, the gyroscopic couple is?
Two metallic sheets, each of 2.0 mm thickness, are welded in a lap joint configuration by resistance spot welding at a welding current of 10 kA and welding time of 10 milliseconds. A spherical fusion zone extending up to the full thickness of each sheet is formed. The properties of the metallic sheets are given as: ambient temperature = 293 K
melting temperature = 1793 K
density = 7000 kg/m^{3}
latent heat of fusion = 300 kJ/kg
specific heat = 800 J/kg K Assume:
(i) contact resistance along sheet – sheet interface is 500 micro–ohm and along electrode – sheet interface is zero;
(ii) no conductive heat loss through the bulk sheet materials; and
(iii) the complete weld fusion zone is at the melting temperature.
The melting efficiency (in %) of the process is ?
The drum of a simple band brakes at 400 rpm. The steel band is wrapped around 3/4th of the drum diameter as shown below. If 30 kW power is to be absorbed then the maximum tension in the band is ____ N. (take μ = 0)
Consider the following Linear Programming Problem (LPP):
Maximize z = 3x_{1} + 2x_{2}
Subject to x_{1} ≤ 4
x_{2} ≤ 6 (CO  OR)
3x1 + 2x_{2} ≤ 18
x_{1 }≥ 0, x_{2} ≥ 0
The humidity ratio of atmospheric air at 27 °C dry bulb temperature and 760 mm of Hg is 0.015 kg/kg of dry air. The vapour density (in kg/m^{3} of dry air) is?
A block of weight W_{1 }= 250N rests on a horizontal surface and supports on top of it another block of weight W_{2} = 75N. The block W_{2} is attached with a vertical wall by a string AB as shown in the figure. Find the force P (in N) for impending slipping.(Take μ = 0.3)
What should be the angle between the two cylinder V line engines such that all the primary and secondary forces as well as couples are perfectly balanced.
Calculate the value of poisson's ratio if bulk modulus(K) and modulus of rigidity(G) are 300MPa and 400MPa respectively. upto 3 decimal places
In a spot welding process, a current of 40,000 amperes is released for 0.015 sec. The effective resistance of the joint is 120 micro ohm. The joint can be considered as a cylinder of 6 mm diameter and 3mm height. The heat required for the melting of material is 10 J/mm^{3}. Calculate the heat transferred to environment (in kcalories) from the joint where 4.184 joules = 1 calories
An electric light fixture is held with the arrangement shown in the figure. If the weight of the fixture is 1N and the hinge is an ideal one, Then axial force in the bar PR and string PQ is
The diameters of inner and outer tubes of a Double pipe heat exchanger are 24mm and 44mm. The thickness of the inner tube is;
A point mass having mass M is moving with a velocity V at an angle θ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with the smooth wall and rebounds. The total change (final minus initial) in the momentum of the mass is
Which parameter should be increased to avoid builtupedge formation?
P: Rake Angle
Q: Velocity
R: Feed
S: Depth of cut
The following figure shows the velocitytime plot for a particle travelling along a straight line. The distance covered by the particle from t=0 to t=5s is ______ m.
Block A weighing 200 kg resting on the rough floor supports block B weighing 100 kg as shown in the figure. Both the blocks are connected with a rope passing over a smooth pulley. Find the force P required to impending motion. (Take g = 9.81 m/s2 and coefficient of friction = 0.3)
A uniform beam of length L is simply and symmetrically supported over two roller supports spaced l distance with each other. The ratio of L/l so that the upward deflection at each end equals the downward deflection at the midpoint due to a central point load is ______.
The stream function for 2D flow is given by ψ = 4xy. Calculate the velocity at point P(2,2).
Air flows over a heated plate at a velocity of 40 m/s. The local skin friction coefficient at a point on the plate 0.004. Determine the local heat transfer coefficient ( in W/m2K) at this point using Reynold’s Colburn analogy
Following are property of air
ρ= 0.88 kg/m^{3}, Cp =1001 J/kg°K, k = 0.035 W/mK, μ=2.286×10^{5} Kg/ms
A solid copper ball of mass 500gm when quenched in a water bath at 30^{∘}C, cools from 530^{∘}C to 430^{∘}C in 10 sec. What will be the temperature of the ball after the next 10 seconds?
A furniture dealer deals only in two items tables and chairs. He has Rs. 50,000 to invest and has storage space of at most 60 pieces. A table costs Rs.2500 and a chair Rs.500. He estimates that from the sale of one table, he can make a profit of Rs.250 and that from the sale of one chair a profit of Rs.75. If he buys ‘x’ and ‘y’ number of tables and chairs respectively from the available money in order to maximize his profit, the value of ‘x’ will be, assuming that he can sell all the items which he buys?
27 docs228 tests

27 docs228 tests
