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A man covered certain distance on foot at the rate of 5km/h and rest by bicycle at the rate of 12km/h. If he took 15hrs to cover a distance of 110km. Find the distance covered by him on foot.
The compound interest compounded half yearly on a certain sum of money at 10% per annum for 1 year is Rs. 246.The simple interest on the same sum for 2.5 years at 7% per annum is:
If the world ‘MAJORITY’ is encoded as ‘PKBNXSHQ’, how will the word ‘DAUGHTER’ be encoded?
In the given figure, which number represents cow, lion and goat but not tiger.
In a car showroom, the average value of three cars is 15 Lakh, where the average price of two costliest cars is double the price of the cheapest car. Find the cost of the cheapest car.
In the following question, four words are given out of which one word is correctly spelt. Select the correctly spelt word.
A is in the south of B at a distance of 4m. C is in the east of B at a distance of 5m. D is in the west of C at a distance of 12m. E is in the north of D at a distance of 5m. How far is C from E and E is in which direction from C?
In the sentence, identify the segment which contains the grammatical error.
Every student has to face a lot of pain to get selected in this competitive exam.
Arrange the given words in the sequence in which they occur in the dictionary.
1. Culmination, 2. Conclusion, 3. Climax, 4. Cultivation
Gustavo, Pablo and Gaviria are working together on a project. They can finish it together in a day. Gustavo alone can finish it in 2 days and Pablo in 3 days. How much time will Gaviria take to finish the project alone?
Let A ϵ M3 (R) be such that det (AI) = 0, where I denotes the 3 x 3 identity matrix. If the trace of A = 13 and det A = 32, then the sum of squares of the eigen values of A is _________.
The value of surface integral ndS over the surface of the sphere x^{2} + y^{2} + z^{2} = 16 is
A cargo ship weighs 50 MN and the ships is tilted through an angle of 5 due to water of weighing 500 KN is being filled on ship’s boats. The mean distance of water (in mm) from the centre of the ships is 12 m. The metacentric height is
A dam is constructed across river for the purpose of irrigation. The depth of water (H) stored on the upstream side of dam is 5 m. The total pressure exerted on the upstream face for 1 m length of dam (in KN) is (assume g = 10 m/s^{2})
Three kg of oxygen gas is heated from 15^{o}C to 90^{o}C. , the change in enthalpy( in KJ) is
Which of the following curve represent a nonstrain hardening material
A thin cylindrical pressure vessel of internal diameter 800 mm and wall thickness 10 mm is given a coating which cracks when the strain reaches to 0.0002. The internal pressure (in MPa) at which cracking start in coating is (Take E = 210 GPa, Poisson ratio = 0.25)
The effect of forced convection can be neglected if
Consider the following linear programming problem
Maximize X= 3y_{1 }+ 2y_{2}
Subject toy_{1} ≤ 4
y_{2} ≤ 6
6y_{1} + y_{2} ≤ 18
y_{1} ≥ 0, y_{2} ≥ 0
The optimal value of the objective function for the above problem is
In a singlechannel queuing model, the customer arrival rate is 12 per hour and the waiting time in the queue is 2.5 minute. The proportion of time that a server actually spends with customers is
A rotating bar made of forged steel 50 mm in diameter (S_{ut} = 600 N/m^{2}), is subjected to completely reverse bending stress. The corrected endurance limit (in MPa) of the bar is 100 N/mm^{2}. The fatigue strength of the bar for the life of 25000 cycles is
Which of the following is a multi point cutting tool?
Mechanism of material removal for ECM machining
A 6 mm thick sheet is rolled to 3 mm with a pair of rollers having diameter 300mm. The friction coefficient at the work roll interface is 0.1, the maximum number of passes required ____
A 140 mm diameter billet is extruded to 70 mm, at the working temperature of 800ºC. The average flow stress of material is 350 MPa, the force required for extrusion (in MN) is _____
The steam is expanded isentropically in steam turbine from 20 bars, 350∘C to 0.08 bars and then it condensed to saturated liquid water in the condenser. The pump feeds back the water into the boiler. Neglect losses in the processes, the cycle efficiency (in percentage) are
Given data: At p = 0.08 bar, hfg = 2403.1 kJ/kg, s_{fg} = 7.6361 kJ/kg K, v_{f} = 0.001008 m3/kg
h_{1} =3159.3 kJ/kg, s_{1} = 6.9917 kJ/kg K, h_{3} = 173.88 kJ/kg, s_{3} = 0.5926 kJ/kgK,
In the figure shown below, the relative velocity of link 1 with respect to link 2 is 15 m/s. The link 2 rotates at a constant speed of 150 rpm. The magnitude of the coriolis component of acceleration of link 1 is .....
The annual demand of the company is 10000 units per year. The ordering cost per order is Rs 100 per year and the carrying cost is Rs10 per unit per year and the shortage is allowed. The shortage cost is Rs 5 per unit per year. Maximum inventory is_______.
A cantilever beam of 5m length supports a triangularly distributed load over its entire length, the maximum of which is at the free end. The total load is 21 N. What is the bending moment at fixed end?
Consider the following data for a product
Demand= 1000 units/ year
Order = Rs. 40/ order
Holding cost = 10% of the unit cost/ unit year
Unit cost = Rs. 500
With a policy of ordering every month, the total annual cost would be _____.
For a particular product, the following information is given:
Selling price per unit: Rs. 100
Variable cost per unit: Rs. 60
Fixed cost: Rs. 1000000
Due to inflation the variable cost has increased by 10% while fixed costs have increased by 5%. If the break even quantity is to remain constant, the percentage increase in sales price would be ____.
For the following assignment problem find the minimum cost of assignment
Find the reactions at A and D of a truss if it is hinged at one end while the other end is inclined at an angle of 45^{0}.
What will be the height between the bottom of the sprue and free metal surface of the casting, having a gating ratio of 1 : 1.5 : 2. The height of metal during pouring in the basin is 100mm above the cope, where cope box has a height of 200 mm.
In a rolling process, a sheet of 25 mm thickness is rolled to 20 mm thickness. Roll is of diameter 1200 mm and it rotates at 100 rpm. What is the roll strip contact length?
For a fluid flow through a divergent pipe of length 2m having inlet and outlet diameters of 0.6m and 0.4m respectively and a constant flow rate of 0.5 m3/sec, assuming the velocity to be axial and uniform throughout, the acceleration at the exit is;
Manufacturing a product requires processing on four machines A, B, C, D in the order A – B – C – D. The capacities of four machines are A = 100, B = 110, C = 120 and D = 130 units per shift. If the expected output is 85% of the system capacity, then what is the expected output?
The eigenvectors of the matrix are written in the form and What is a + b?
Ratio of the buckling strength of the hollow steel column to that of solid square column of the same material, same cross section area, same length. The ratio of outer to inner diameter of the hollow column is 2.
A hollow cylinder 10 cm internal diameter and 20 cm outer diameter has an inner surface and outer surface temperatures are 300^{0}c and 200^{0}c. The thermal conductivity of cylinder material is 80 W/Mk. The area of the cylinder per meter length such that cylinder can be transform into an equivalent slab is
A 0.8 mm diameter nickel alumel thermocouple is used to measure the temperature difference of a fluid. The sensitivity of the thermocouple (in s) is
Given data:
Convective heat transfer coefficient = 500 W/mK
Specific heat of fluid = 350 J/kgK
Density of thermocouple material = 9500 Kg/m3
In a counter flow heat exchanger, the water (C_{p} = 4200J/kgK) flawing at the rate of 1000kg/h enters at 15^{∘}C and leaves at 30^{∘}C. It is heated by ail (C_{p} = 2100J/kgK) flowing at the rate of 500kg/h from the inlet temperature of 100^{∘}C ta 40^{∘}C. The na. of transfer units is
In compressor of a Refrigerator, air enters in the axial flow compressor & leaves the compressor axially. Calculate the degree of reaction, if the component of air responsible for whirl is leaving the compressor at onethird the average blade velocity of rotor if the flow velocity at inlet and outlet remain same.
Which of the following is not a hardness test.
Consider the following data for an item:
Demand = 1500 units/year,
Ordering cost = Rs. 4 per order
Storage cost = 10% of unit price per year
The optimum cost (in Rs.) is
Consider the following data and the corresponding statements:
Case 1:
Case 2:
I. case 1 has higher stability of sales
II. case 2 has higher stability of sales
III. case 1 has higher weightage to recent sales
IV. case 2 has higher weightage to recent sales
Which of the following statements is/are correct?
The moment of inertia of a beam section which is 500 mm deep is 69.49 × 10^{7} mm^{4}. The maximum stress in the beam is not to exceed 110 N/mm^{2}. The maximum span of the beam is _______ m, when simply supported at the ends and could carry a uniformly distributed load of 50 kN per metre length.
A beam of circular section is subjected to a load of 4kN. If the diameter of the circular section is 0.1m. Calculate the maximum shear stress.
A company produces two types of toys: P and Q. Production time of Q is twice that of P and the company has a maximum of 2000 time units per day. The supply of raw material is just sufficient to produce 1500 toys (of any type) per day. Toy type Q requires an electric switch which is available @ 600 pieces per day only. The company makes a profit of Rs.3 and Rs.5 on type P and Q respectively. For maximization of profits, the daily production quantities of P and Q toys should respectively be?
For a mechanism having 6 links and 7 joints the number of instantaneous centre is? (IC is a point at which a particular link is assumed to be a rotational motion about that point)
Calculate the rate of heat dissipation of a bearing, if it has a rubbing velocity of 1.57 m/s. The bearing is 80mm in length. Viscosity of this oil at the oil temperature of 50℃ is 0.050kg/ms. The temperature of the bearing is 85℃ and surrounding temperature is 30℃, assume energy dissipation coefficient to be 209.34 W/m^{2}℃ and speed of journal is 600RPM.
Solution of the differential equation 3y dy/dx + 2x = 0 represents a family of?
The cooling capacity of cooling and dehumidifying coil is 128 kW. Atmospheric air at a flow rate of 3 kg/s (on dry basis) enters to the cooling coil with an enthalpy of 85 kJ/kg of dry air and humidity ratio is 20 grams/kg of dry air. The air leaves the coil with an enthalpy of 43 kJ/kg of dry air and a humidity ratio is 10 grams/kg of dry air. What will be the enthalpy (in kJ/kg d.a) of condensate water leaving the coil?
For SHM motion of cam & follower, the maximum velocity of the follower is, where, h = rise of follower,θ = angle turned by crank, Φ = crank rotation for maximum follower displacement.
The rod AB, of length 1 m, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along QP and QR. If the velocity VA of the slider at A is 2 m/s, the velocity of the midpoint of the rod at this instant is ________m/s
A matrix P is a symmetric matrix and a matrix Q is a skew symmetric matrix. If both the matrix are equal then,?
For the system shown below, the natural frequency of the system is _______ rad/s.
Consider force F = 143N on disc and G = 100GPa
In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pas is pumped at the rate of 0.04 m^{3}/s. The power required to maintain the flow (in KW) is?
The following set of equations has
3x + 2y + z = 4
x – y + z = 2
– 2x + 2z = 5
A Roller bearing has a basic dynamic load rating (C_{10} for 10^{6} revolution) of 50 kN. If the equivalent radial load on the bearing in 70 kN, the expected life in (10^{6} revolutions) is?
The product of two complex numbers 1 + i and 2 – 5i is?
In the counter flow heat exchange, for the hot fluid the specific heat is 3 kJ/kg K, mass flow rate is 6 kg/s, inlet temperature is 150 °C and outlet temperature is 100 °C. For the cold fluid, the specific heat is 3 kJ/kg K, mass flow rate is 8 kg/s, inlet temperature is 20 °C. Neglecting the heat transfer to surrounding, the outlet temperature of the cold fluid in °C is ________.
Consider the following secondorder differential equation:
y`` 4y` +3y = 2t  3t^{2},The particular solution of the differential equations is?
27 docs228 tests

27 docs228 tests
