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A monkey is trying to reach the top of a tree. He climbs 3 feet in a minute but slides down by 1.5 feet after each climb. If he reaches the top of the tree in 58 minutes, then the maximum possible height of the tree is ________ feets.
In the following question, a sentence has been given in Direct/Indirect Speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in Indirect/Direct Speech.
My husband said to me, “Wait for me outside."
What of the following function(s) in an accurate description of the graph for the range(s) indicated?
A. y = 2x + 4 for 3 ≤ x ≤ 1
B. y = x1 for 1 ≤ x ≤ 2
C. y = x1 for 1 ≤ x ≤ 2
D. y = 1 for 2 ≤ x ≤ 3
A rectangular room having dimensions 3.74 m x 5.78 m is required to be tiled using a minimum number of identical square tiles. The number of such tiles and area of each tile (in cm^{2}) is given by
In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase.
To take into account
In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.
The total number of questions in the paper are;
Amol, Brijendra, Chander and Dron are sitting around a roundtable. One of them is an electronics engineer (ECE) who is sitting to the left of the Mechanical Engineer (ME). Amol is sitting opposite a Computer Science Engineer (CSE). It is also known that Dron likes to play computer games and Brijendra is sitting to the right of Civil Engineer (CE). Identify the correct match from the given choices.
In five cities A is more populated than B which is less populated then E. D is more populated than E but not as populated as A. C is less populated than B. Which city has the highest population?
Onethird of Ramesh’s marks in Arithmetic is equal to half his marks in English. If he gets 150 marks in the two subjects to gather, how many marks has he got in English?
In a test given by Prof Virus during the minors, Raju gets 32% marks and fails by 20 marks whereas Chatur gets 30 marks more than passing marks while scoring 42% marks. The marks required to get twice the passing marks are _______.
During the subsurface investigations for design of foundations, a standard penetration test was conducted at 4.5m below the ground surface. The record of number of blows is given below.
Q. Assuming the water table at ground level, soil as fine sand and correction factor for overburden as 1.0, the corrected ‘N’ value for the soil would be
A beamcolumn having overall depth and width is 550 mm and 250 mm. If torsional moment for this beam is 30 kN.m then twisting moment will be
An isolated ‘T’ beam is used on the walkway. The beam is simply supported with an effective span of 6 m. Effective width of flange for shown figure is :
What is the maximum possible eccentricity in a prestressed concrete beam of circular crosssection? Diameter of the section is d. Tension is not allowed anywhere and any time in the crosssection. Neglect dead load (selfweight).
Deposit with flocculated structure is formed when
A simply supported prestressed beam of 300 × 500 mm in c/s is subjected to a superimposed load of 20 kN/m over a span of 10m. If a prestressing force of 1000 kN is applied through a straight tendon located along centroidal axis then what is the extreme top fiber stress at the mid section:
What will be the maximum possible uniformly distributed load (inclusive of selfweight) over the entire span of a simply supported beam of span ‘L’ such that the deflection at midspan at service condition is zero? The crosssection is rectangular. The prestressing force ‘P’ is applied with uniform eccentricity ‘e’. Assume no losses.
If Qs4 and Qs6 are the equilibrium discharges of S curve for the catchment obtained by 4 hour UH summation and 6 hour UH summation, respectively, then Q_{s4}/Q_{s6} is __________. (Up to 2 decimal places)
The beam PQR shown in the given figure is horizontal. The distance to the point of contraflexure from the fixed end P is _____m. (up to two decimal place)
30 KN/m^{2} load acting on a 4m × 6m 2way slab. Effective Load acting in a shorter direction is_____ KN/m^{2}.
A stream function is given by:
Ψ = 3xy^{2} + (x^{2}+2)y
The flow rate across a line joining points A(0,5) and B(1,2) is
Before passage of a surge, the depth and velocity of flow at a section are 1.8 m and 3.6 m/s. After the surge passage, they are 0.6 m and 8 m/s respectively. The speed of the surge is?
A rectangular plate 1.2 x 3 m is immersed in a liquid of relative density 0.85 with its 1.2 m side horizontal and just at the water surface. If the plane of plate makes an angle of 50o with the horizontal, the pressure force on one side of the plate is
A beam with both continuous ends has a clear span of 6m and supports 600 mm wide. The effective depth of the beam is 550 mm. As per IS 4562000, the effective span of the beam (in m) is____________
A turbine develops 2516 kW at 240 rpm. The torque in the shaft is approximately:
A Kaplan turbine has a runner of diameter 4.0 m. The diameter of the hub is 1.6 m. If the velocity of flow and the swirl velocity at the inlet side of the blade at the hub are 6.0 m/s and 10.0 m/s, respectively, the flow and swirl velocities at the inlet side of the tip are, respectively:
A pipe of 30 cm diameter conveying 300 l/s of water has a rightangled bend in a horizontal plane. The resultant force exerted on the bend if pressure at inlet and outlet of the bend are 24.525N/cm^{2} and 23.544N/cm^{2} is ___ N.
A sample of saturated cohesionless soil tested in a drained triaxial compression test showed an angle of internal friction of 30°. The deviator stress at failure for the sample at a confining pressure of 200kPa is equal to
The daily cover of MSW landfills consists of which one of the following?
Two different soil types (soil I and Soil 2) are used as backfill behind a retaining wall as shown in the figure, where gt is total unit weight, and c ¢ and f ¢ are effective cohesion and effective angle of shearing resistance. The resultant active earth force per unit length (in kN/m) acting on the wall is:
What is the final end moment in the following structure?
In an irrigation project, in a certain year, 70% and 46% of the culturable command area in Kharif and Rabi, respectively, remained without water and the rest of the area got irrigation water. The intensity of irrigation in that year for the project was
A retaining wall is constructed in a clayey soil. The height of the backfill is found to be 9m, the unit weight of the sand is 2t/m3 and the angle of internal friction is 30˚. Find out the earth pressure per meter length on the retaining wall with a smooth vertical back.
Activities A, B, C and D constitute a small project; their interrelationship, expected duration and standard deviation of this expected duration are shown in the figure, respectively.
With a view to improving the speed of implementation, each of B, C and D are split into three equal segments, maintaining appropriate interrelationships between A and each of these nine segments. What will be the standard deviation of the modified project duration after segmentation (to the nearest 1/10in unit)?
The infiltration capacity of a soil follows the Horton's exponential model, f = c. During and experiment, the initial infiltration capacity was observed to be 200 mm/h. After a long time, the infiltration capacity was reduced to 25 mm/h. If the infiltration capacity after 1 hour was 90 mm/h, the value of the decay rate constant, k (in 11', up to two decimal places) is____
Reciprocal leveling was done between two points A and B, the readings of which are as shown below, which are 700 mm apart.
If the atmospheric conditions do not change during the period of observation and R.L. of A is 126.49 m, then the R.L. of B is _______ m.
Let P be a 2 ×2 real orthogonal matrix and is a real vector [x1, x2]T with length Then, which one of the following statements is correct?
Determine the specific gravity of the liquid Y for the fig. given below.
An ascending gradient of 1 in 50 meets a descending gradient of 1 in 40. The length of the vertical summit curve for a stopping sight distance of 200 m, will be ______m.
[Assume height of eye level of driver and object above roadway surface are 1.2 m and 0.18 m respectively]
The variance of the random variable X with probability density function f(x) = 1/2 xe^{x} is ___________.
Let X and Y be independent random variables. Given that X has a uniform distribution over –1 ≤ x ≤ 1 and ▁Y = 2 and ▁(Y^2 )=6 Another random process W(t) is defined as W(t) = (Y + 3Xt) ⋅t
The mean square value of W(t) is
The state of the soil when plants fail to extract sufficient water for their requirements is _____.
The maximum shear stress in a rectangular beam is_____ times of average shear stress
The laboratory tests on a soil sample gave the following results:
1). Natural water content, wn = 25%
2). Liquid limit, wL = 60%
3). Plastic limit, wp = 35%
4). Percentage of particle less than 2μ = 20%
Q. The value of activity number is
An average data for conventional activated sludge treatment plant is as follows:
Wastewater flow = 35000 m^{3}/d
Volume of aeration tank = 10500 m^{3}
Influent BOD = 230 mg/L
Effluent BOD = 20 mg/L
Mixed Liquor suspended solids (MLSS) = 2200 mg/L
Effluent suspended solids = 30 mg/L
Waste sludge suspended solids = 9500 mg/L
Quantity of waste sludge = 200 m^{3}/day
Assume MLVSS = 75% MLSS
Based on the above information, the oxygen requirement of the aeration tank is _________ tonnes/day.
The Atterberg limits of a soil are LL = 68% and PL = 34% and it contains 85% by weight of clay. The water content of a sample is 45%. Determine the predominant clay mineral.
A rectangular column section of 250mm x 400mm is reinforced with five steel bars of grade Fe 500, each of 20mm diameters. Concrete mix is M30. Axial load on the column section with minimum eccentricity as per IS: 4562000 using limit state method can be applied upto
A prestressed concrete beam (pretensioned) has the following crosssection as shown in figure below. Initial prestress = 1200 N/mm^{2} (in both wires).
Young’s modulus of steel, ES = 210 × 10^{3} N/mm2, Young’s modulus of concrete, EC = 36 × 10^{3} N/mm^{2}
What will be the loss of prestress (in N/mm^{2}) in top steel wires due to elastic shortening?
[Assume moment of Inertia about centroid axis = 8575 × 106 mm^{4}]
A 60 mmdiameter water jet strikes a plate containing a hole of 40 mm diameter as shown in the figure. Part of the jet passes through the hole horizontally, and the remaining is deflected vertically. The density of water is 1000 kg/m3. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is ______.
For a fluid the apparent viscosity is varying with rate of shear strain a shown in the following table
Q. What type of fluid is
Maximum strain theory for the failure of a material at the elastic limit is known as
For three soil layers A, B and C of crosssection 100mm x 100mm each shown, the permeability is 1.1 x 10^{2} cm/sec, 2.9 x 10^{3} cm/sec and 4.2 x 10^{4} cm/sec respectively. The rate of water flow (in cm^{3}/sec ) is
It required a time of 3 min 30 sec for 40% consolidation of a 35mmthick clay layer (2 way drainage condition) in the laboratory. How long (in days) will it take for a 4mthick clay layer of the same clay in the field under the same pressure increment to reach 40% consolidation? In the site, there is a rock layer at the bottom of the clay.
A sheet piling system with its corresponding flow net is shown in figure. Take and hydraulic conductivity as 2 x 10^{5} cm/s. Estimate (a) rate flow in cm^{3}/s (b) For the element A with l= 1.2m, calculate the average velocity.
A reservoir of surface area 400 hectares has water temperature = 27°C, relative humidity = 40%, ea of water = 17.54 mm (Hg) and velocity of wind 2 m above the ground is 11 km/hr. Use Meyer’s formula to determine the daily evaporation from the reservoir in mm.
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.
A bracket connection is formed as shown in figure using 4 bolts of 20 mm dia and grade 4.6. The service load P (in kN) that can be carried by the connection is
[Use LSM and assume failure to be critical in shear and failure shear plane lies in threaded portion of bolt]
In a pair of overlapping photographs, the mean distance between two principal points both of which lie on the datum is 6.375 cm. At the time of photography, the aircraft was 600 m above the datum. The camera has a focal length of 150 mm. in the common overlap a tall chimney 120 m high with its base in the datum surface is observed. Determine the difference of parallax for top and bottom of chimney.
Solution of dy/dx = y^{2} × x^{3} at x = √5 and y = 2 is
The value of integral e^{x}dx calculated using simpson's 1/3rd Rule, with 10 subintervals is use the table given
In the following table, x is a discrete random variable and p(x) is the probability density. The difference between the variance & the standard deviation is
A fair coin is tossed independently five times. The probability of the event "the number of times tails show up is less than the number of times heads show up” is
Consider the following equations
3x – y – z + 2w = 0
3x + y – z  2w = 0
12x + 3y – 4z  6w = 0
The system of equations will be
27 docs296 tests

27 docs296 tests
