CEA GATE Series Quiz: Exam!

   value of b = ?

• 0

• E

• 1

• None

The closing error in a closed loop traverse of 500 m total length is 0.289 m, then the relative precision of this traverse will be

• 1 : 1560

• 1 : 1730

• 1 : 2170

• 1 : 1910

Let y(x) be the solution of the initial value problem     = x and y(0) = 0. Find the value of     (Correct up to 2 decimal places).

• 0.3

• 0.32

• 0.6

• 1.24

Pervious sand having an air content of 15% is used in the foundation of a masonry dam. If the maximum permissible upward gradient for a factor of safety of 3 against boiling is 0.315. The percentage of air voids in the pervious sand will be ______ %.

• 6

• 6.4

• 6.8

• 7

If n and y are positive integers and 450 y = n³, which of the following must be an integer?

• None of these

For which value of x, the following matrix A is a singular matrix.

• 1

• -1

• 2

• 3

Consider the following function: f(x) at x=2 is

• Continuous and differentiable 

• Continuous but not differentiable

• Differentiable but not continuous

• Neither continuous nor differentiable

The integrating factor of equation y log y dx + (x – log y) dy = 0 is

• Log x

• Log y

• Log (log x)

• Log (log y)

For the state of stress (MPa) shown in the figure below. The ratio of Major principal stress to minor principal stress will be _____ (up to two decimal places)

• 2.6

• 5.2

• 1.3

• 0

In a catchment, there are five rain gauge stations A, B, C, D, and E are located on a circular shape basin of a diameter of 24 km as shown in the figure below. If the rainfall at station A, B, C, D, and E in the month of August is 250 cm, 200 cm, 225 cm, 240 cm, and 210 cm respectively, then the average rainfall (in m, up to two decimal place) over the catchment in the month of August will be __________.

• 0.2

• 0.23

• 0.25

• 0.27

Choose the most approximate word from the options given below to complete the following sentence. I believe in the _____ of positive thinking thus always recommend these books to my clients.

• Power

• Powers

• Powerful

• Empowering

Consider a circle of radius r. Fit the largest possible square inside it and the largest possible circle inside the square. What is the radius of the innermost circle?

• R/2

Select the pair that best expresses a relationship similar to that expressed in the pair: Horse: Foal

• Deer: Doe

• Goose: Gosling

• Hen: Rooster

• Fox: Vixen

Read the following passage and find out the inference stated through passage. Juvenile delinquency is also termed as Teenage Crime. Basically, juvenile delinquency refers to the crimes committed by minors. These crimes are committed by teenagers without any prior knowledge of how it affects the society. These kind of crimes are committed when children do not know much about outside world. Which of the following Inferences is correct with respect to above passage? 

• Since these crimes are committed due to lack of knowledge there is need to help these teenagers and get them on right track

• These crimes are fuelled with bad knowledge imparted in schools. 

• These crimes are committed by teenagers with proper knowledge of its consequences. 

• Teenagers who commit crimes should be detained for crime just as any grown human would be

The graph shows cumulative frequency % of research scholars and the number of papers published by them. Which of the following statements is true?

• Majority of the scholars published more than 4 paper

• 60% of the scholars published at least 2 papers

• 80% of the scholars published at least 6 papers

• 30% of scholars have not published only paper

Find the laplace transform of t²sin (2t).

For the Real Beam shown in the figure below, identify the correct conjugate beam

The liquid limit and plastic limit of the soil is 55% and 25% respectively. If the natural water content of the soil is 30%. The correct statement is

• Soil is in plastic stage of consistency with consistency index equal to 0.167

• Soil is in plastic stage of consistency with liquidity index equal to 0.833.

• Soil is in plastic stage of consistency with consistency index equal to 0.833

• Soil is in liquid stage of consistency with ratio of consistency index to liquidity index equals to 1.

As per IS 10500:2012, the total concentration of manganese (as Mn) and iron (as Fe) for drinking water purpose shall not exceed

• 0.1 mg/L

• 0.2 mg/L

• 0.3 mg/L

• 0.5 mg/L

  A water sample analysis produces alkalinity and hardness of 200 mg/L and 250 mg/L as Caco₃ respectively. The carbonate and non-carbonate hardness respectively will be

• 200 mg/L and 50 mg/L

• 200 mg/L and 0 mg/L

• 250 mg/L and 50 mg/L

• 250 mg/L and 0 mg/L

The average surface area of a reservoir for a period of two months is 50 hectare-m. The difference of saturated vapour pressure and actual vapour pressure is 15 mm of Hg. If the wind velocity at a height of 9.0 m above the ground is 10m/s, then the daily average evaporation in (mm/day) from the reservoir will be (use k_m = 0.36)

• 15.55 mm/day

• 17.55 mm/day

• 20.55 mm/day

• None

The column vector is a simultaneous Eigen vector of    and 

• B = 0 or a = 0

• B = a or b = -2a

• B = 2a or b = -a

• B = a/2 or b = -a/2

Satisfy the assumption of Rolle’s theorem in the interval [-1, 1], then ordered pair (p, q) is

• (2, -1)

• (-2, -1)

• (-2, 1)

• (2, 1)

2000 cashew nuts are mixed thoroughly in flour. The entire mixture is divided into 1000 equal parts. And each part is used to make 1 biscuit. Assume that no cashews are broken in the process. A biscuit is picked at random. The probability it contents no cashew is _____.

• Between 0 and 0.1

• Between 0.1 and 0.2

• Between 0.2 and 0.3

• Between 0.3 and 0.4

If the following formula is used for the numerical integration of a function f(x), then what should be the values of the constants a, b, c so that for f(x) = 1 or f(x) =  x or f(x) =  x², there is no error in the formula

An I-section bean is fabricated with plates having an elastic section modulus of 200 × 10^-5m³. If the laterally unsupported steel beam is classified as a semi-compact section, then the design plastic moment capacity of the beam considering Fe 410 grade of steel and the partial safety factor of material as 1.1 will be ____ kNm. (Use Bending stress reduction factor (X_LT= 1.0) 

• 400

• 450

• 500

• 550

As per IRC 37:2012, the design traffic in terms of the cumulative number of standard axis (in million standard axes, up to two decimal places) based on the below data will be_____. Initial traffic in the year of completion of construction = 4000 commercial vehicle per day (CPVD) Vehicular damage factor = 5 Lane distribution factor = 0.75 The annual rate of growth of commercial vehicle = 9% Design life = 12 years.

• 100

• 105

• 110

• 115

In order to prepare 50m³ Ready Mix concrete for a rigid pavement for a mix 1 : 3: 6 by weight, with water/cement ratio of 0.5 and unit weight of concrete as 2250 kg/m³, the amount of coarse aggregate (in tonnes) will be ______ .

• 20

• 22

• 28

• 32

A block of weight 50kN is supported by a rope that is wrapped one-and-one-half times around the circular shaft. If the coefficient of static friction between the rope and the shaft material is 0.15, then the largest possible value of P according to the figure (given below) will be ____x 10⁴ N.

• 21

• 22

• 23

• 24

A completely saturated clay sample was tested in a UU test under a cell pressure of 250 kN/m² and the principal stresses at failure were noted as 350 kN/m² and 200 kN/m² respectively. If the effective shear strength parameters of this clay layer are c^I= 25 kN/m² and ɸ^I = 23°, the pore water pressure at failure will be _____ kN/m²

• 140

• 142

• 144

• 146

A hydraulically efficient trapezoidal section conveying a discharge of 210 m³/s. If the Froude number at a section is 0.489, the bed slope required will be? Assume the flow to be uniform and manning’s roughness coefficient to be 0.017.

• 1 in 1483

• 1 in 73

• 1 in 2000

• 1 in 2500

A 25 cm long rod of uniform rectangular section of size 10 mm (wide) and 1.4 mm thickness is bend to form an arc of a circle. If the longitudinal strain at the surface of the rod is 0.00084, the central displacement of the rod will be _____ mm. Neglect second order quantities

• 9

• 9.3

• 9.5

• 9.8

A layer of normally consolidated clay of thickness 1.5 m is undergoing one-dimensional consolidation under a pressure increment of 30 kPa. If the final primary consolidation settlement (mm) by using Terzaghi’s theory is 20 mm, the initial effective stress within the soil layer will be ______ kN/m². Assume the following soil properties: initial void ratio (e₀) = 1.345. Compression index (C_c) = 0.40.

• 150

• 153

• 160

• 163

A vertical cut is made in pure saturated clay having undrained shear strength of 150 kN/m² (consider smooth vertical back). How much actual height (m) of this vertical cut be made such that there is a 400% factor of safety against shear failure. Take γ_sat of clay = 19 kN/m³.

• 6.895

• 7.895

• 8.895

• 9.895

Consider the following statement about the municipal solid waste: P. If it is assumed that air contains 23.15 percent oxygen by mass, then the amount of air required for the complete oxidation of 1 kg of carbon would be equal to 11.25kg. Q. The anaerobic digestion will require an optimum C/N ratio of about 30 – 50. R. Pulverization refers to the action of cutting and tearing, whereas shredding refers to the action of crushing and grinding. S. Electrostatic precipitator is also installed in the incineration plant to reduce air pollution, particularly due to the emission of dioxin. T. Pyrolysis is highly exothermic in nature and hence also known as destructive distillation. Which one of the following options is correct?

• P – False: Q – False: R – True: S – True: T - True

• P – True: Q – True: R – False: S – True: T – False

• P – False: Q – True: R – False: S – False: T – True

• P – False: Q – True: R – True: S – True: T – False

A bird files along the three sides of a field in the shape of an equilateral triangle at speeds of 3, 6, 8 km/hr respectively. The average speed of the bird is

Choose the most appropriate words from the options given below to fill in the blanks. She was ______ to travel abroad and _____ in the field of commerce as per her wishes.

• Eager, cease

• Restive, oppose

• Elated, venture

• Jinxed, rest

While recording sound level two reading has been taken at a site within an hour. 80 dB noise lasting for 40 minutes is followed by 100 dB noise lasting for 20 minutes. The L_equivalent of the above noise levels (in dB) will be ______.

• 89

• 91

• 93

• 95

In a 1600 m race around a circular track of length 400 m, the faster runner and the slowest runner meet at the end of the sixth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at twice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.

• 3 minutes

• 6 minutes

• 12 minutes

• 24 minutes

Consider the following statements and Identify the correct option with regard to provisions of IS 456: 2000: P. The minimum stripping time for props to slab spanning over 4.5 m is 7 days Q. The minimum stripping time for props to arches spanning over 6 m is 14 days. R. To ensure strength of Designed concrete mix, Random sampling procedure is adopted S. When bar of two different diameter are to be spliced, the lap length shall be calculated on the basis of bar of the larger diameter.

• P – True Q – True R – True S – False

• P – False Q – False R – True S – True

• P – False Q – True R – True S – True

• P – False Q – False R – True S – False

For a truss shown in figure below. Find the force in the member GC ______ kN.

• 0 kN

• 10 kN(compressive)

• 20 √2 kN (tensile)

• 20 kN (compressive)

A tension member 1SLB 250 @ 273.7 N/m is connected with two 200 wide and 12 mm thick plate with two lines of 16 mm diameter bolt in each flange. If the net section area is 2800 mm² , then the tensile strength (in kN) on the basis of net area cracking of ISLB section using Fe 410 grade of steel will be _________. (Take Partial Safety Factor as 1.25)

• 725

• 825

• 925

• None

A circular footing of diameter 4m is loaded with 200 kN/m² of load intensity. The vertical stress increment (kN/m²) at 6m depth below the footing will be?

• 15

• 30

• 60

• 120

A square footing of size 3m × 3m is placed at 2m depth below the Ground surface. If the permissible settlement of the foundation rests on sand strata is 40 mm and the final corrected S.P.T Number is 28. The net allowable bearing pressure from settlement consideration according to Peck, Hanson equation will be _____kN/m² Assume water table is at 1m below the base of the footing

• 265

• 300

• 350

• 365

A capillary rise in a glass tube when immersed in oil having surface tension 0.0825 N/m at 20° C and specific gravity of 0.96 is 6.25 mm. For 30% increase in height of capillarity, the diameter of glass tube should be decreased by ______ (percentage) Take angle of contact between glass tube and oil will be zero

• 20

• 23

• 26

• 29

The ultimate BOD of waste water is 300 mg/L and the reaction rate constant (to the base ‘e’) at 20°C is 0.3585/day, then the 5 day BOD will be.

• 175 mg/L

• 50 mg/L

• 250 mg/L

• 200 mg/L

As per IRC 37: 1984, the practical capacity values suggested for the purpose of design of two lane roads with 7.0 m wide carriageway and earthen shoulders in both direction is

• 2500 PCU per day

• 5000 PCU per day

• 10000 PCU per day

• 20000 PCU per day.

In order to allow smooth movement of Locomotive with a maximum permissible speed of 120 kmph on a Broad Gauge track in transition curve, the radius of curvature by Martin’s formula will be

• 786 m

• 687 m

• 575 m

• 638 m