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Question 1 of 65
1. Question
Consider a rigid retaining wall with partially submerged cohesionless backfill with a surcharge. Which one of the following diagrams closely represents the Rankine’s active earth pressure distribution against this wall?
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Question 2 of 65
2. Question
The VPI (vertical point of intersection) is 100 m away (when measured along the horizontal) from the VPC (vertical point of curvature). If the vertical curve is parabolic, the length of the curve (in meters and measured along the horizontal) is _______
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Question 3 of 65
3. Question
For a construction project. The mean and standard deviation of the completion time are 200 days and 6.1 days, respectively. Assume normal distribution and use the value of standard normal deviate Z = 1.64 for the 95% confidence level. The maximum time required (in days) for the completion of the project would be __________
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Question 4 of 65
4. Question
Given that the scope of the construction work is welldefined with all its drawings, specifications, quantities and estimates, which one of the following types of contract would be most preferred?
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Question 5 of 65
5. Question
The divergence of the vector field V = x^{2}i + 2y^{3}j + z^{4}k at x = 1, y = 2, z = 3 is _______
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Question 6 of 65
6. Question
Consider the frame shown in the figure:
If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematical indeterminacy would be equal to
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Question 7 of 65
7. Question
As per Noise Pollution (Regulation and Control) Rules 2000 of India, the day time noise limit for a residential zone, expressed in dB (A) L_{eq}, is
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Question 8 of 65
8. Question
Let G be the specific gravity of soil solids, w the water content in the soil sample, γ_{w} the unit weight of water, and γ_{d} the dry unit weight of the soil. The equation for the zero air voids line in a compaction test plot is
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Question 9 of 65
9. Question
The safety within a roundabout and the efficiency of a roundabout can be increased, respectively, by
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Question 10 of 65
10. Question
In a material under a state of plane strain, a 10×10 mm square centered at a point gets deformed as shown in the figure.
If the shear strain γ_{xy} at this point is expressed as 0.001k (in rad), the value of k is
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Question 11 of 65
11. Question
The method of orientation used, when the plane table occupies a position not yet located on the map, is called as
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Question 12 of 65
12. Question
If a centrifugal pump has an impeller speed of N (in rpm), discharge Q (in m^{3}/s) and the total head H (in m), the expression for the specific speed Ns of the pump is given by
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Question 13 of 65
13. Question
Following observations have been made for the elevation and temperature to ascertain the stability of the atmosphere:
The atmosphere is classified as
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Question 14 of 65
14. Question
During a storm event in a certain period, the rainfall intensity is 3.5 cm/hour and the Φ − index is 1.5 cm/hour. The intensity of effective rainfall (in cm/hour, up to one decimal place) for this period is ______
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Question 15 of 65
15. Question
For a broad gauge railway track on a horizontal curve of radius R (in m), the equilibrium cant e required for a train moving at a speed of V (in km per hour) is
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Question 16 of 65
16. Question
Consider the following simultaneous equations (with c_{1} and c_{2} being constants):
3x_{1} + 2x_{2} = c_{1}
4x_{1} + x_{2} = c_{2}
The characteristic equation for these simultaneous equations is
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Question 17 of 65
17. Question
A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10^{−6} m/s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm^{3}/s per m, up to one decimal place) under the sheet pile is _____
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Question 18 of 65
18. Question
While aligning a hill road with a ruling gradient of 6 %, a horizontal curve of radius 50 m is encountered. The grade compensation (in percentage, up to two decimal places) to be provided for this case would be______
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Question 19 of 65
19. Question
Consider the following statements related to the pore pressure parameters, A and B:
P. A always lies between 0 and 1.0
Q. A can be less than 0 or greater than 1.0
R. B always lies between 0 and 1.0
S. B can be less than 0 or greater than 1.0
For these statements, which one of the following options is correct?
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Question 20 of 65
20. Question
Let the characteristic strength be defined as that value, below which not more than 50% of the results are expected to fall. Assuming a standard deviation of 4 MPa, the target mean strength (in MPa) to be considered in the mix design of a M25 concrete would be
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Question 21 of 65
21. Question
The plate load test was conducted on a clayey strata by using a plate of 0.3m × 0.3 m dimensions, and the ultimate load per unit area for the plate was found to be 180 kPa. The ultimate bearing capacity (in kPa) of a 2 m wide square footing would be
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Question 22 of 65
22. Question
The infiltration capacity of a soil follows the Horton’s exponential model, f = c_{1} + c_{2}e^{−kt}. 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 h^{−1}, up to two decimal places) is_______
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Question 23 of 65
23. Question
A twofaced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the coin is tossed one more time, the probability (up to one decimal place) of obtaining H again, given the previous realizations of H, H and H, would be_______
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Question 24 of 65
24. Question
The most important type of species involved in the degradation of organic matter in the case of activated sludge process is
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Question 25 of 65
25. Question
Let w = f (x,y), where x and y are functions of t. Then, according to the chain rule, is equal to
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Question 26 of 65
26. Question
Consider the portal frame shown in the figure and assume the modulus of elasticity 4 E = 2.5×10 MPa and the moment of inertial, I = 8×10^{8} mm^{4} for all the members of the frame.
The rotation (in degrees, up to one decimal place) at the rigid joint Q would be_______
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Question 27 of 65
27. Question
The radii of relative stiffness of the rigid pavements P and Q are denoted by ℓ_{p} and ℓ_{Q}, respectively. The geometric and material properties of the concrete slab and underlying soil are given below:
The ratio (up to one decimal place) of ℓ_{p}/ℓ_{Q} is ______
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Question 28 of 65
28. Question
A 1 m wide rectangular channel carries a discharge of 2m^{3}/s. The specific energydepth diagram is prepared for the channel. It is observed in this diagram that corresponding to a particular specific energy, the subcritical depth is twice the supercritical depth. The subcritical depth (in meters, up to two decimal places) is equal to _______
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Question 29 of 65
29. Question
A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kNm) that the shaft can resist is_______
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Question 30 of 65
30. Question
Consider the following statements:
P. Walls of one brick thick are measured in square meters.
Q. Walls of one brick thick are measured in cubic meters.
R. No deduction in the brickwork quantity is made for openings in walls up to 0.1 m^{2} area.
S. For the measurement of excavation from the borrow pit in a fairly uniform ground, dead men are left at suitable intervals.
For the above statements, the correct option is
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Question 31 of 65
31. Question
Following are the statements related to the stress paths in a triaxial testing of soils:
P. If σ_{1} = σ_{3}, the stress point lies at the origin of the pq plot
Q. If σ_{1} = σ_{3}, the stress point lies on the paxis of the pq plot.
R. If σ_{1} > σ_{3}, both the stress points p and q are positive.
For the above statements, the correct combination is
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Question 32 of 65
32. Question
A simply supported rectangular concrete beam of span 8m has to be prestressed with a force of 1600kN. The tendon is of parabolic profile having zero eccentricity at the supports. The beam has to carry an external uniformly distributed load of intensity 30 kN/m. Neglecting the selfweight of the beam, the maximum dip (in meters, up to two decimal places) of the tendon at the midspan to balance the external load should be________
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Question 33 of 65
33. Question
An observer standing on the deck of a ship just sees the top of a lighthouse. The top of the lighthouse is 40 m above the sea level and the height of the observer’s eye is 5 m above the sea level. The distance (in km, up to one decimal place) of the observer form the lighthouse is _______
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Question 34 of 65
34. Question
If AB^{T} is equal to
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Question 35 of 65
35. Question
A 2 m long, axially loaded mild steel rod of 8 mm diameter exhibits the loaddisplacement (p−δ) behavior as shown in the figure.
Assume the yield stress of steel as 250 Mpa. The complementary energy (in Nmm) stored in the bar up to its linear elastic behavior will be_______
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Question 36 of 65
36. Question
Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given as
P:d = 60t
Q:d = 60t^{2}
Within the first one hour, the maximum space headway would be
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Question 37 of 65
37. Question
Consider the following definite integral:
The value of the integral is
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Question 38 of 65
38. Question
A municipal corporation is required to treat 1000 m^{3}/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be______
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Question 39 of 65
39. Question
For the construction of a highway. A cut is to be made as shown in the figure.
The soil exhibits c’ = 20 kPa, ϕ = 18°, and the undrained shear strength = 80 kPa. The unit weight of water is 9.81 kN/m^{3}. The unit weights of the soil above and below the ground water table are 18 and 20 kN/m^{3}, respectively. If the shear stress at Point A is 50 kPa, the factors of safety against the shear failure at this point, considering the undrained and drained conditions, respectively, would be
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Question 40 of 65
40. Question
A catchment is idealized as a 25 km × 25 km square. It has five rain gauges, one at each corner and one at the center, as shown in the figure.
During a month, the precipitation at these gauges is measured as G_{1} = 300 mm, G_{2} = 285mm, G_{3} = 272mm, G_{4} = 290mmand G_{5} =288mm. The average precipitation (in mm, up to one decimal place) over the catchment during this month by using the Thiessen polygon method is_______
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Question 41 of 65
41. Question
The tangent to the curve represented by y = x ln x is required to have 45° inclination with the xaxis. The coordinates of the tangent point would be
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Question 42 of 65
42. Question
Water is pumped at a steady uniform flow rate of 0.01 m^{3}/s through a horizontal smooth circular pipe of 100 mm diameter. Given that the Reynolds number is 800 and g is 9.81 m/s^{2} , the head loss (in meters, up to one decimal place) per km length due to friction would be____
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Question 43 of 65
43. Question
Group I given a list of test methods and test apparatus for evaluating some of the properties of ordinary Portland cement (OPC) and concrete. Group II gives the list of these properties.
Group I Group II
P. Le chatelier test 1. Soundness of OPC
Q. VeeBee test 2. Consistency and setting time of OPC
R. Blaine air permeability test 3. Consistency or workability of concrete
S. The Vicat apparatus 4. Fineness of OPC
The correct match of the items in Group I with the items in Group II is
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Question 44 of 65
44. Question
The figure shows a Utube having a 5 mm×5 mm square crosssection filled with mercury (specific gravity = 13.6) up to a height of 20 cm in each limb (open to the atmosphere).
If 5cm^{3} of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be______
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Question 45 of 65
45. Question
The analysis of a water sample produces the following results:
The total hardness (in mg/L as CaCO_{3}) of the water sample is_____
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Question 46 of 65
46. Question
Consider the three prismatic beams with the clamped supports P, Q, and R as shown in the figures.
Given that the modulus of elasticity, E is 4 2.5×10 MPa; and the moment of inertia, I is 8×10^{8} mm^{4}, the correct comparison of the magnitudes of the shear forces S and the bending moment M developed at the supports is
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Question 47 of 65
47. Question
Consider a squareshaped area ABCD on the ground with its centre at M as shown in the figure. Four concentrated vertical load of P=5000 kN are applied on this area, at each corner.
The vertical stress increment (in kPa, up to one decimal place) due to these loads according to the Boussinesq’s equation, at a point 5 m right below M, is______
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Question 48 of 65
48. Question
For a given water sample, the ratio between BO_{5day, 20}_{℃} and the ultimate BOD is 0.68. The value of the reaction rate constant k (on base e)( in day^{−1}, up to two decimal place) is ________
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Question 49 of 65
49. Question
Two identical concrete piles having the plan dimensions 50 cm× 50 cm are driven into a homogeneous sandy layer as shown in the figures. Consider the bearing capacity factor N_{q} for ϕ = 30°as24.
.
If Q_{P1} and Q_{P2} represent the ultimate point bearing resistance of the piles under dry and submerged conditions, respectively, which one of the following statements is correct ?
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Question 50 of 65
50. Question
The culturable command area of a canal is 10,000 ha. The area grows only two cropsrice in the Kharif season and wheat in the Rabi season. The design discharge of the canal is based on the rice requirements, which has an irrigated area of 2500 ha, base period of 150 days and delta of 130 cm. The maximum permissible irrigated area (in ha) for wheat, with a base period of 120 days and delta of 50 cm, is_______
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Question 51 of 65
51. Question
The composition of a municipal solid waste sample is given below:
The difference between the energy content of the waste sample calculated on dry basis and asdiscarded basis (in kJ/kg) would be______
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Question 52 of 65
52. Question
Consider the following secondorder differential equation:
y”− 4y’+ 3y = 2t − 3t^{2}
The particular solution of the differential equations is
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Question 53 of 65
53. Question
Two plates of 8 mm thickness each are connected by a fillet weld of 6 mm thickness as shown in the figure.
The permissible stresses in the plate and the weld are 150 MPa and 110 MPa, respectively. Assuming the length of the weld shown in the figure to be the effective length, the permissible load P (in KN) is______
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Question 54 of 65
54. Question
Two prismatic beams having the same flexural rigidity of 1000 kNm^{2} are shown in the figures.
If the midspan deflections of these beams are denoted by δ_{1} and δ_{2} (as indicated in the figures). The correct option is
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Question 55 of 65
55. Question
Two towers A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure.
The length of the image of the tower A on the photograph is1.5 cm and of the tower B is 2.0 cm. The distance of the top the tower A (as shown by the arrowhead) is 4.0 cm and the distance of the top of the tower B is 6.0 cm, as measured form the principal point p of the photograph. If the height of the tower B is 80 m, the height (in meters) of the tower A is ______
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Question 56 of 65
56. Question
There was no doubt that their work was thorough.
Which of the words below is closest in meaning to the underlined word above?
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Question 57 of 65
57. Question
Four cards lie on a table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are 2, 3, red, and blue.
Proposition: If a card has an even value on one side, then its opposite face is red.
The cards which MUST be turned over to verify the above proposition are
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Question 58 of 65
58. Question
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is
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Question 59 of 65
59. Question
What is the value of x when
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Question 60 of 65
60. Question
The event would have been successful if you ______ able to come.
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Question 61 of 65
61. Question
P,Q,R,S,T and U are seated around a circular table. R is seated two places to the right of Q.P is seated three places to the left of R. S is seated opposite U. If P and U now switch seats.
Which of the following must necessarily be true?
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Question 62 of 65
62. Question
Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people inevitably came out of the centre in the order that they went in. However, the time they spent inside seemed to vary a lot: some people came out in a matter of minutes while for others it took much longer.
From this, what can one conclude?
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Question 63 of 65
63. Question
A map shows the elevations of Darjeeling, Gangtok, Kalimpong, pelling, and Siliguri.
Kalimpong is at a lower elevation than Gangtok. Pelling is at a lower elevation than Gangtok. Pelling is at a higher elevation that siliguri. Darjeeling is at a higher elevation than Gangtok.
Which of the following statements can be inferred from the paragraph above?
i. Pelling is at a higher elevation than Kalimpong
ii. Kalimpong is at a lower elevation than Darjeeling
iii. Kalimpong is at a higher elevation than siliguri
iv. Siliguri is at a lower elevation than Gangtok
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Question 64 of 65
64. Question
Budhan covers a distance of f19 km in 2 hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the time and walks the rest (at the same speed as before) and covers 26 km in 2 hours. The speed in km/h at which Budhan walks is
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Question 65 of 65
65. Question
The points in the graph below represent the halts of a lift for duration of 1 minute, over a period of 1 hour.
Which of the following statements are correct?
i. The elevator never moves directly from any nonground floor to another nonground floor over the one hour period
ii. The elevator stays on the fourth floor for the longest duration over the one hour period
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