Mock GATE Exam 2019 - Civil Engineering

The activity details of a project are given below: Activity Depends on Duration (in days) P -- 6 Q P 15 R Q,T 12 S R 16 T P 10 U Q,T 14 V U 16 The estimated minimum time (in days) for the completion of the project will be________

A reinforced-concrete slab with effective depth of 80 mm is simply supported at two opposite ends on 230 mm thick masonry walls. The centre-to-centre distance between the walls is 3.3 m. As per IS 456 : 2000, the effective span of the slab (in m, up to two decimal places) is________

A tracer takes 100 days to travel from Well-1 to Well-2 which are 100 m apart. The elevation of water surface in Well-2 is 3 m below that in Well-1. Assuming porosity equal to 15%, the coefficient of permeability (expressed in m/day) is  ________

The analysis of a water sample produces the following results: Ion milligram per milli-equivalent for the ion Concentration (mg/L) Ca²⁺ 20.0 60 Mg²⁺ 12.2 36.6 Na⁺ 23.0 92 K⁺ 39.1 78.2 Cl^- 35.5 71 SO₄^2- 48.0 72 HCO₃^- 61.0 122 The total hardness (in mg/L as CaCO₃ ) of  the water sample is   ________

The relation between speed u (in km/h) and density k (number of vehicles/km) for a traffic stream on a road is u = 70 - 0.7k. The capacity on this road is  ________ vph (vehicles/hour).

A number is as much greater than 75 as it is smaller than 117. The number is :

• 91

• 93

• 89

• 96

Given the sequence of terms ,AD CG FK JP , the next term is 

• OV

• OW

• PV

• PW

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is   1/7  and the probability of wife’s selection is  1/5  . What is the probability that only one of them is selected?

• 4/5

• 2/7

• 8/15

• 4/7

Select the pair that best expresses a relationship similar to that expressed in the pair : Medicine : Health

• Science : Experiment

• Wealth: Peace

• Education :Knowledge

• Money : Happiness

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude  σ_xx=30 MPa and σyy=50 MPa as shown in the figure. The Young’s modulus of the material is 2×10¹¹ N/m²  and the Poisson’s ratio is 0.3. If σ_zz is negligibly small and assumed to be zero, then the strain ε_zz is

• -120×10^-6

• -60 × 10^-6

• 0.0

• 120 ×10^-6

The two columns below show some parameters and their possible values. Parameter Value P – Gross Command Area     I –100 hectares/cumec Q – Permanent Wilting Point    II – 6^o C R – Duty of canal water   III – 1000 hectares S – Delta of wheat      IV – 1000 cm                                                  V – 40 cm    VI – 0.12 Which of the following options matches the parameters and the values correctly ?

• P-III, Q-II, R-V, S-IV

• P-III, Q-VI, R-I, S-V

• P-I, Q-V, R-VI, S-II

• None

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 2.5 × 10⁴ MPa; and the moment of interta I is 8 × 10⁸ mm⁴, the correct comparison of the magnitude of the shear force S and the bending moment M developed at the support is

• S_P< S_Q< S_{R ;} M_P=M_Q=M_R

• S_P=S_Q>S_R;  M_P=M_Q>M_R

• S_P < S_Q > S_{R ;}  M_P =M_Q=M_R

• S_P < S_Q<SR ; M_P< M_Q <M_R

A 1-h rainfall of 10 cm magnitude at a station has a return period of 50 years. The probability that a 1-h rainfall of magnitude 10 cm or more will occur in each of two successive years is:

• 0.04

• 0.4

• 0.0004

• None

The curve given by the equation (x^2)+ (y^2) = 3axy  is

• Symmetric about x-axis

• Symmetric about y-axis

• Symmetric about line y=x

• Tangential to x = y = a/3 

Column I gives a list of test methods for evaluating properties of concrete and Column II gives the list of properties Column I Column II P. Resonant frequency test 1. Tensile strength Q. Rebound hammer test 2. Dynamic modulus of elasticity R. Split cylinder test 3. Workability S. Compacting factor test 4. Compressive strength

• P-2,Q-4,R-1,S-3

• P-2,Q-1,R-4,S-3

• P-2,Q-4,R-3,S-1

•  P-4,Q-3,R-1,S-2

A person on a trip has a choice between private car and public transport. The probability of using a private car and transport. The probability of using a private car is 0.45. While using the public transport, further choices available are bus and metro, out of which the probability of commuting by a bus is 0.55. In such a situation, the probability (rounded up to two decimals) of using a car, bus and metro. Respectively would be 

• 0.45, 0.30 and 0.25

• 0.45, 0.25 and 0.30

• 0.45, 0.55 and 0.00

• 0.45, 0.35 and 0.20

A container originally contains 10 litres of pure spirit.From this container 1 litre of spirit is replaced with 1 litre of water .Subsequently 1 liter of mixture is again replaced with 1 litre of water and this process is repeated one more time. How much spirit is now left in the container?

• 7.58 lit

• 7.84 lit

•  7 lit

• 7.29 lit

The soil profile above the rock surface for a 25^o infinite slope is shown in the figure, where s_u is the undrained shear strength and γ_t is total unit weight. The slip will occur at a depth of

• 6.83

• 7.83

• 8.83

• 9.83

A spillway discharges flood at a rate of 9 m³/s per metre width. If the depth of flow on the horizontal apron at the toe of the spillway is 46 cm, the tail water depth needed to form a hydraulic jump is approximately given by which of the following?

• 2.54 m

• 4.90 m

• 5.77 m

• 6.23 m

The reference pressure used in the determination of sound pressure level is

• 20 μPa

• 20 db

• 10 db

• None

Choose the most appropriate alternative from the options given below to complete the following sentence: Despite several ________________ the mission succeeded in its attempt to resolve the conflict.

• Attempts

• Setbacks

• Meetings

• Delegations

The directional derivative of    f(x,y,z)=(x^2 * y * z ) + ( 4* x * z ^2  )  at the  point  ( 1, -2 , -1 ) in the direction of PQ where P( 1 , 2 , -1 ) and Q ( -1 , 2 ,3 )  is

• -28/√5

• 28/5

• -28/5

• 28/√5

The function f(x) = sin | x | is 

• Continuous for all x

• Continuous only at certain points

• Differentiable at all points

• None of the above

4. If A and B are square matrixes of sizes n x n, then which of the following statement is not true.

• Det(AB)=detA.detB

• Det(kA)=k^n. det(A)

• Det(A+B)=detA+detB

• Det A^T =1/det(A^-1)

Water flows through a 100 mm diameter pipe with a velocity of 0.015 m/sec. If the kinematic viscosity of water is 1.13 × 10^-6 m²/sec, the friction factor of the pipe material is

•  0.0015

•  0.032

• 0.037

• 0.048

The degree of static indeterminacy of a rigidly jointed frame in a horizontal plane and subjected to vertical loads only, as shown in figure below is

• 6

• 4

• 3

• 1

The compound which is largely responsible for initial setting and early strength gain of Ordinary Portland Cement is

• C₃A

• C₃S

• C₂S

• NONE

An automobile with projected area 2.6 m² is running on a road with speed of 120 km per hour. The mass density and the kinematic viscosity of air are 1.2 kg/m³ and 1.5 × 10^-5 m²/s, respectively. The drag coefficient is 0.30. The metric horse power required to overcome the drag force is

• 33.23

• 19.23

• 23.23

• 20.23

The dimensions of a symmetrical welded I-section are shown in the figure. The plastic section modulus about the weaker axis (in cm³, up to one decimal place) is

• 78 to 85 

• 88 to 92

• 95-100

• None

1. The rank of the matrix                                                              1 -2  -1                                                     A =    -3  3   0                 is                                                              2   2  4           

• One 

• Two 

• Three 

• None of the above

A circular pipe has a diameter of 1 m, bed slope of 1 in 1000, and Manning’s roughness coefficient equal to 0.01. It may be treated as an open channel flow when it is flowing just full, i.e., the water level just touches the crest. The discharge in this condition is denoted by Q_full. Similarly, the discharge when the pipe is flowing half-full, i.e., with a flow depth of 0.5m, is denoted by Q_half. The ratio Q_full/Q_half  is:

• 1

• 2

• 0.5

• None

Sieve analysis on a dry soil sample of mass 1000 g showed that 980 g and 270 g of soil pass through 4.75 mm and 0.075 mm sieve, respectively. The liquid limit and plastic limits of the soil fraction passing through 425μμ sieves are 40% and 18% respectively. The soil may be classified as

• SC

• MI

• CI

• SM

A 1: 50 scale model of a spillway is to be tested in the laboratory. The discharge in the prototype is 1000 m³/s. The discharge to be maintained in the model test is

• 0.08 m³/s

• 0.57 m³/s

• 0.057 m³/s

• 5.7 m³/s

Choose the most appropriate word from following options to complete the given sentence. ______________ is the key to their happiness ; they are satisfied with what they have.

• Contentment

• Ambition

• Perseverance

• Hunger

The saftey within a roundabout and the efficency of a roundabout can be increased, respectively, by

• Increasing the entry radius and increasing the exit radius

• Increasing the entry radius and decreasing the exit radius

• Decreasing the entry radius and increasing the exit radius

• Decreasing the entry radius and decreasing the exit radius

Following observations have been made for the elevation and temperature to ascertain the stability of the atmosphere: Elevation (in m) Temperature (in C) 10 15.5 60 15.0 130 14.3 The atmosphere is classified as

• Stable

• Unstable

• Neutral

• Inverse

The laboratory tests on a soil sample yields the following results: natural moisture content = 18%, liquid limit =60%, plastic limit = 25%, percentage of clay sized fraction =25%. The liquidity index and activity (as per the expression proposed by Skempton) of the soil, respectively, are

• -0.2 and 1.4

• 0.2 and 1.4

• -1.2 and 0.714

• 1.2 and 0.714

Two rigid bodies of mass 5 kg and 4 kg are at rest on a frictionless surface until acted upon by a force of 36 N as shown in the figure. The contact force generated between the two bodies is

• 2 N

• 4  N

• 8  N

• 16  N

Starting from x₀ =1 , one step of Newton – Raphson method in solving the equation   x^3 + 3x – 7=0  gives the next value  of (x₁ ) as

• 0.5

• 1.406

• 1.5

• 2

The following details refer to a closed traverse: Line Consecutive coordinate Northing (m) Southing (m) Easting (m) Westing (m) PQ ---- 437 173 ---- QR 101 ---- 558 ---- RS 419 ---- ---- 96 SP ---- 83 ---- 634 The length and direction (whole circle bearing) of closure, respectively are

•  2 m and 90°

• 1 m and 270°

• 1 m and 90°

•  2m and 270°

Hari(H) ,Gita(G), Irfan(I), Saira(S) are siblings . All were born on 1st january. The age difference between any two successive siblings is less than 3 years .Given the following facts : 1. Hari age + Gita age > Irfan age + Saira age 2.The age difference between Gita and Saira is 1 year.However Gita is not the oldest and Saira is not the youngest. 3. There are no twins. In which order were they born ( oldest first )?

• HSIG

• SGHI

• IGSH

• IHSG

The flow net around a sheet pile wall is shown in the sketch. 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 are impermeable. The seepage loss (in m³ per day per unit length of the wall) of water is

• 0.33

• 0.38

• 0.44

• 0.48

Deposit with flocculated structure is formed when

• Clay particles settle on sea bed

• Clay particles settle on fresh water lake bed

• Sand particles settle on river bed

• Sand particles settle on sea bed

Archimedes said ," Give me a lever long enough and a fulcrum on which to place it , and I will move the world." The sentence above is an example of a _______________ statement.

• Figurative

• Collateral

• Literal

• Figurine

A rapid sand filter comprising a number of filter beds is required to produce 99 MLD of potable water. Consider water loss during backwashing as 5%, rate of filtration as 6.0 m/h and length to width ratio of filter bed as 1.35. The width of each filter bed is to be kept equal to 5.2 m. One additional filter bed is to be provided to take care of break-down, repair and maintenance. The total number of filter beds required will be

• 19

• 20

• 21

• 22

The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit length). The bending moment in the beam at the joint ‘Q’ is

• Zero

• Wl^2/12  hogging 

• Wl^2/24  hogging

• Wl^2/12  sagging

A superspeedway in New Delhi has among the highest super-elevation rates of any track on the Indians Grand Prix circuit. The track requires drivers to negotiate turns with a radius of 335 m and 33^o banking. Given this information, the coefficient of side friction required in order to allow a vehicle to travel at 320 km/h along the curve is :

• 1.761

• 0.176

• 0.253

• 2.53

Three values of x & y are to be fitted in a straight line in the form y = a + bx by the method of least squares. Given ∑x=6 , ∑y=21, ∑x^2 =14 &  ∑xy =46, the values of a & b are respectively 

• 2 & 3

• 1 & 2

• 2 & 1

• 3 & 2