CEA GATE Practice Series Test

Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything ___________ to the requirements of the exam

• Related

• Extraneous

• Outside

• Useful

If  log a/b + log b/a = log(a+b), then:

• A+ b =1

• A – b = 1

• A = b

• None

In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam

• 150

• 200

• 300

• 600

A solid 4cm cube of wood is coated with red paint on all the six sides. Then the cube is cut into smaller 1cm cubes. How many of these 1cm cubes have no colour on any side?

• 8

• 12

• 16

• 24

Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?

• 18

• 36

• 27

• 24

Which of the following raingauge gives a plot of the accumulated rainfall against the elapsed time?

• Tipping bucket type

• Weighing bucket type

• Float type

• None

The present population of a community is 28000 with an average water demand of 150 Lpcd. The existing water treatment plant has a design capacity of 6000 m³/d. It is expected that the next 20 years. What is the number of years from now when the plant will reach its design capacity assuming an arithmetic rate of population growth??

• 8.6 years    

• 12 years

• 15 years

• None

Vertical reaction developed at B in frame below due to applied load of 100 kN (with is

• 92.5 kN

• 7.4 kN

• 100 kN

• None

The value of bearing capacity factor for cohesion, N_c, for piles as per Meyerhof, is taken as :

• 6.2

• 12

• 9

• 5.14

This paragraph states that warm weather affects the consumer’s inclination to spend the age of father is 4 times more than the age of his son Amit. After 8 years, he would be 3 times older than Amit. After further 8 years, how many times will he be older than Amit?

• 2.33

• 2.5

• 3

• 3.5

The dimensions for the flexural rigidity of a beam element in mass (M), length (L) and time (T) is given by

• MT^-2

• ML³T^-2

• ML^-1T^-2

• M^-1T²

The superelevation needed for a vehicle travelling at a speed of 60 kmph on a curve of radius 128 m on a surface with a coefficient of friction of 0.15 is :

• 0.71

• 0.81

• 0.91

• 0.61

If the time period between centroid of the rainfall diagram and peak of the hydrograph is 5 hour, using Snyder’s equation the value of the base width of unit hydrograph in hours is?

• 27.5 hour

• 78 hour

• 87 hour

• 10 hour

A droplet of water at 20⁰c ( p (sigma) = 0.0728 N/m) has internal pressure 1 kPa greater than that outside it, its diameter is nearly:

• 0.1 mm

• 0.15 mm

• 0.3 mm

• 0.6 mm

The order and degree of the differential equation given, is

• 1, 1

• 2, 1

• 2, 3

• None

If the deformations of the truss-members are as shown in parentheses, the rotation of the member bd is :  

• 0.5 x 10^-2 radian

• 1.0 x 10^-2 radian

• 1.5 x 10^-2 radian

• 2.0 x 10^-2 radian

A ductile metal bar is subjected to pure shear test and its yield strength was found to be 230 N/mm² the maximum permissible shear stress on that metal will be: (N/mm²)

• 115

• 126

• 131

• 139

The insitu moisture content of a soil is 18% and its bulk unit weight is 19.65 .The specific gravity of the soil solids is 2.7. The soil is to be excavated and transported to a construction site and then compacted to a minimum dry unit weight of 16.65  at a moisture content of 20%. How many truck loads are needed to transport the excavated soil if each truck can carry 25 tons? Total volume of the compacted fill is 10,000?

• 638

• 786

• 1016

• 1092

If the statically indeterminate beam as shown in the figure below, carries a load P at Q and a load nP at S. What is the value of n to make the structure collapse with at least 3 hinges?

• 4/9

• 1/3

• 2/3

• 4/3

The left canal of tank irrigation carries a discharge of 10 cumecs and a culturable commanded area of 9000 Ha. The intensity of irrigation of Rabi crop is 70 percent and base period is 120 days. The right canal scheme carries a discharge of 24 cumecs and has a culturable commanded area of 1500 Ha. The intensity of Rabi crop is 80 percent and base period is 120 days.

• Left canal is more efficient than right canal

• Right canal is more efficient than left canal

• Both canals have same efficiency

• Efficiency cannot be deduced from the given data

Select the pair that best expresses a relationship similar to that expressed in the pair: LIGHT : BLIND

• Speech : Dumb

• Language : Deaf

• Tongue : Sound

• Voice : Vibration

In deriving the equation for the hydraulic jump in a rectangular channel in terms of the conjugate depths and the initial Froude number

• Continuity equation and energy equation are used

• Continuity equation and momentum equation are used

• Equations of continuity, mementum and energy are used

• Gradually varied flow equation is used

Consider the following statements 1) Strength of concrete cube is inversely proportional to water-cement ratio. 2) A rich concrete mix gives higher strength than a lean concrete mix since it has more cement content. 3) Shrinkage cracks on concrete surface are due to excess water in mix. Which of the following statements is correct?

• 1,2 and 3

• 1 and 2

• 1 and 3

• 1 only

Which one do you like?Standard 5-day BOD of a waste water sample is nearly x% of the ultimate BOD, where x is

• 48

• 58

• 68

• 78

A hydraulic model of a spillway is constructed with a scale 1:16. If the prototype discharge is 2048 cumecs, then the corresponding discharge for which the model should be tested is:

• 1 cumecs

• 2 cumecs

• 4 cumecs

• 8 cumecs

Consider the following statements 1) Cambium layer is between sapwood and heartwood 2) Heartwood is otherwise termed as deadwood 3) Timber used for construction is obtained from heartwood Which of the following is/are correct statements?

• 1, 2 and 3

• 2 and 3 only

• 1 and 3 only

• 2 only

The available moisture holding capacity of soil is 15cm per meter depth of soil. If a crop with a root zone of 0.8m and consumptive use of 6 mm/day is to be grown, the frequency of irrigation for restricting the moisture depletion to 60% of available moisture is?

• 12.5 days

•  12 days

• 10 days

• 8 days

6 boys and 6 girls sit in a row at random. Find the probability that 1) The six girls sit together 2) The boys and girls sit alternately

• 1/462

• 1/132

• 923/924

• 1/924

The pavement designer has obtained the value of design traffic as 200 million standard Axles for a newly developing highway. The design life adopted is 15 years. Annual traffic growth rate of 8% is taken into account. Commercial vehicles count before pavement construction was 5000 vehicles/day. The vehicle damage factor used in the calculation was:

• 2

• 3

• 4

• 5

A sample of clay was coated with paraffin wax and its mass, including the mass of wax was found to be 650 gm, the sample was immersed in water and the volume of the water displaced was found to be 325 Ml. The mass of the sample without wax was 640 gm and water content of the specimen was 20%. Specific gravity of wax is 0.9 and specific gravity of soil solids is 2.7. The void ratio and density of the sample is:

• = 1.50 gm/cc, e = 0.588

• = 1.50 gm/cc, e = 0.502

• = 1.70 gm/cc, e = 0.588

• = 1.70 gm/cc, e = 0.502

Horizontal stiffness coefficient, K₁₁ of bar ab is given by :

• A E/l√2

• A E/l

• 2 A E/l

• None

A father notes that when his teenage daughter uses the phone she takes no less than 6 minutes for a call but sometimes as much as an hour. 20 minutes calls are more frequent than calls of any other duration.If the daughter’s calls were to be represented as an activity in PERT project, the expected duration of each phone call is:

• 24.33 minutes

• 28.67 minutes

• 20 minutes

• 26.5 minutes

The beams in the two storey frame shown in the figure below have a cross – section such that the flexural rigidity may be considered infinite. Which among the following is the stiffness matrix for the structure in respect of the global coordinates 1 and 2?

The staff reading taken on a staff held at 200m from the instrument. The division of bubble tube is 2.5mm. Following observations were made. The radius of curvature of bubble will be ________m

• 4m

• 3.5m

• 3m

• 2.5m

The length of runway at sea level, standard atmosphere condition and zero gradient is 1500m. The airport site has an elevation of 1200m and the reference temperature asIt is proposed to construct a runway at an effective gradient of 2%. Find the actual runway length at the site:

• 1900 m

• 2000 m

• 2670 m

• None

A rectangular concrete beam of width 150mm and depth 200m is prestressed by pretensioning to a force of 200 kN at eccentricity of 30mm. The cross sectional area of prestressing steel is 200 .Given   MPa and  MPa. The percentage loss of stress in the prestressing steel due to elastic deformation of concrete is:

• 4.8%

• 5.6%

• 8.8%

• None

A man of mass m is standing on a platform of mass M kept on a smooth ice. If the man starts moving on the platform with a speed v relative to the platform, with what velocity relative to the ice does the platform recoil?

Statement: All bags are cakes. All lamps are cakes. Conclusions: I. Some lamps are bags. II. No lamp is bag. Deduce which of the above conclusion logically follows statements

• Only conclusion I follows

• Only conclusion II follows

• Either I or II follows

• Neither I or II follows

The plastic modulus of a section is 4.8 x 10 m . The shape factor is 1.2. The plastic moment capacity of the section is 120 kN.m. The yield stress of the material is

• 100 MPa

• 240 MPa

• 250 MPa

• 300 MPa

MPN index is a measure of one of the following

• Coliform bacteria

• BOD₅

• Dissolved Oxygen Content

• Hardness

A river 5 m deep consists of a sand bed with saturated unit weight of 20 kN/m . v = 9.81 kN/m . The effective vertical stress at 5 m from the top of sand bed is

• 41 kN/m^2

• 51 kN/m^2

• 55 kN/m^2

• 53 kN/m^2

A reinforced concrete structure has to be constructed along a sea coast. The minimum grade of concrete to be used as per IS : 456-2000

• M 15

• M 20

• M 25

• M 30

The probability distribution taken to represent the completion time in PERT analysis is

• Gamma distribution

• Normal distribution

• Beta distribution

• Log – normal distribution

The true bearing of a tower T as observed from station A was 356^o and the magnetic bearing of the same was 4⁰ .The back bearing of the line AB when measured with prismatic compass was found to be 296⁰ .Then the true fore bearing of line AB will be _____ degrees.

• 108

• 124

• 100

• 136

The degree of static indeterminacy of the rigid frame having 2 internal hinges is as shown in the figure below

• 6

• 5

• 4

• 3

The problem of lateral buckling can arise only in those steel beams which have

• Moment of inertia about the bending axis larger than the other

• Moment of inertia about the bending axis smaller than the other

• Fully supported compression flange

• None of the above.

Match List-I (contract types) with List-II (Characteristics): List-I a. Labour contract b.Item rate contract c. Piecework contract d.Lump sum contract List-II 1.Petty works and regular maintenance work 2.Adopted for buildings, roads, bridges and electrical works 3.Payment made by detailed measurement of different time 4.Not practiced in government

• A-3,b-4,c- 2,d -1

• A-4,b-3,c-2,d-1

• A-3,b-4,c-1,d-2

• A-4,b-3,c-1,d-2

Plate bearing test with 20 cm diameter plate on soil subgrade yielded a pressure of 1.25 x 10 N/m² at 0.5 cm deflection. What is the elastic modulus of subgrade ?

• 56.18 x 10⁵ N/m²

• 22.10 x 10⁵ N/m²

• 44.25 x 10⁵ N/m²

• None.