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Following table provides figures (in rupees) on annual expenditure of a firm for two years - 2010 and2011.
In 2011, which of the following two categories have registered increase by same percentage
Raw material and Research & Development
Salary & wages and Advertising
Power & fuel and Advertising
Raw material and Salary & wages
A number is as much greater than 75 as it is smaller than117.
The number is
89
93
91
96
At a station, Storm I of 5 hour duration with intensity 2 cm/h resulted in a runoff of 4 cm and Storm II of 8 hour duration resulted in a runoff of 8.4 cm. Assume that the ϕ-index is the same for both thestorms.
The intensity of storm II (in cm/h) is
1.75
1.50
2.25
2.00
At a station, Storm I of 5 hour duration with intensity 2 cm/h resulted in a runoff of 4 cm and Storm II of 8 hour duration resulted in a runoff of 8.4 cm. Assume that the ϕ-index is the same for both thestorms.
The ϕ-index (in cm/h) is
1.4
1.2
1.0
1.6
Following bearings are observed while traversing with acompass.
Line Fore Bearing Back BearingAB 126°45´ 308°00´BC 49°15´ 227°30´CD 340°30´ 161°45´DE 258°30´ 78°30´EA 212°30´ 31°45´After applying the correction due to local attraction, the corrected fore bearing of line BC will be
48°15´
49°45´
48°45´
50°15´
Two different soil types (Soil 1 and Soil
2) are used as back fill behind a retaining wall as shown in the figure, where ϒt is total unit weight, and c' and φ' are effective cohesion and effective angle of shearingresistance.
The resultant active earth force per unit length (in kN/m) acting on the wall is
57.0
35.2
31.7
51.8
Beam PQRS has internal hings in spans PQ and RS asshown.
The beam may be subjected to a moving distributed vertical load of maximum intensity 4 kN/m of any length anywhere on thebeam.
The maximum absolute value of the shear force (in kN) that can occur due to this loading just to the right of support Q shall be
30
55
40
45
All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness E
I. Find the magnitude of the bending moment at Q (in kNm) due to the givenloading.
__________
25
30
35
40
Find the value of λ such that the function f(x) is a valid probability densityfunction.
__________f(x) = λ(x -
1)
(2 - x) for 1 ≤ x ≤ 2 = 0 otherwise
6
5
3
4
Find the magnitude of the error
(correct to two decimal places) in the estimation of following integral using Simpson’s 1/3Rule.
Take the step length as 1. _________
0.52 to 0.55
2.12 to 2.15
1.00 to 1.05
1.34 to 1.37
The state of 2D-stress at a point is given by the following matrix of stresses:What is the magnitude of maximum shear stress in MPa
50
110
100
75
A water treatment plant is designed to treat 1 m3/s of rawwater.
It has 14 sandfilters.
Surface area of each filter is 50 m2. What is the loading rate (in m3/day
. m2) with two filters out of service for routine back washing? __________
89 to 91
121 to 123
143 to 145
234 to 236
Four columns of a building are to be located within a plot size of 10 m * 10 m. The expected load on each column is 4000 kN. Allowable bearing capacity of the soil deposit is 100 kN/m2. The type of foundation best suited is
isolated footing
raft foundation
combined footing
pile foundation
The ‘plane section remains plane’ assumption in bending theory implies
strain profile is linear
stress profile is linear
both strain and stress profiles are linear
shear deformations are neglected
As per IS 800:2007, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by local buckling is classified as
semi-compact section
slender section
compact section
plastic section
A 1-h rainfall of 10 cm magnitude at a station has a return period of 50years.
The probability that a 1-h rainfall of magnitude 10 cm or more will occur in each of two successive years is
0.02
0.0004
0.2
0.04
There is no value of x that can simultaneously satisfy both the givenequations.
Therefore, find the ‘least squares error’ solution to the two equations,
i.e., find the value of x that minimizes the sum of squares of the errors in the twoequations.
__________2x = 34x = 1
0.5
2.1
0.9
1.6
An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shockabsorbers.
All shock absorbers are subjected to a qualitytest.
The ones that pass the quality test are consideredreliable.
Of X’s shock absorbers, 96% arereliable.
Of Y’s shock absorbers, 72% arereliable.
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
0.720
0.334
0.667
0.288
The drainage area of a watershed is 50km2.
The φ index is 0.5 cm/hour and the base flow at the outlet is 10 m3/s. One hour unit hydrograph (unit depth = 1 cm) of the watershed is triangular in shape with a time base of 15hours.
The peak ordinate occurs at 5hours.
For a storm of depth of 5.5 cm and duration of 1 hour, the peak ordinate (in m3/s) of the hydrograph is
82.60
92.60
102.60
55.00
The flow net around a sheet pile wall is shown in thesketch.
The properties of the soil are: permeability coefficient = 0.09 m/day (isotropic), specific gravity = 2.70 and void ratio = 0.85. The sheet pile wall and the bottom of the soil areimpermeable.
The seepage loss (in m3 per day per unit length of the wall) of water is
0.33
0.43
0.38
0.54
1
2
3
6
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