Mock GATE Exam 2019 - Civil Engineering

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

• A.

  Science : Experiment

• B.

  Wealth: Peace

• C.

  Education :Knowledge

• D.

  Money : Happiness

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.

• A.

  Attempts

• B.

  Setbacks

• C.

  Meetings

• D.

  Delegations

Choose the grammatically INCORRECT sentence:

• A.

  They gave us the money back less the service charges of three hundred rupees

• B.

  This country's expenditure is not less than that of Bangladesh.

• C.

  The committee initially asked for a funding of Fifty lakh rupees , but later settled for a lesser sum .

• D.

  This country's expenditure on educational reforms is very less.

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.

• A.

  Contentment

• B.

  Ambition

• C.

  Perseverance

• D.

  Hunger

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.

• A.

  Figurative

• B.

  Collateral

• C.

  Literal

• D.

  Figurine

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 )?

• A.

  HSIG

• B.

  SGHI

• C.

  IGSH

• D.

  IHSG

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?

• A.

  7.58 lit

• B.

  7.84 lit

• C.

   7 lit

• D.

  7.29 lit

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

• A.

  OV

• B.

  OW

• C.

  PV

• D.

  PW

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

• A.

  91

• B.

  93

• C.

  89

• D.

  96

The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of quadrilateral are 3:4:5:6. The largest angle of the triangle is twice its smallest angle .What is sum , in degrees , of the second largest angle of triangle and the largest angle of quadrilateral? ________

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

• A.

  One 

• B.

  Two 

• C.

  Three 

• D.

  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.

• A.

  Det(AB)=detA.detB

• B.

  Det(kA)=k^n. det(A)

• C.

  Det(A+B)=detA+detB

• D.

  Det A^T =1/det(A^-1)

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

• A.

  Symmetric about x-axis

• B.

  Symmetric about y-axis

• C.

  Symmetric about line y=x

• D.

  Tangential to x = y = a/3 

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 

• A.

  2 & 3

• B.

  1 & 2

• C.

  2 & 1

• D.

  3 & 2

The series ∑( n^3/3^n )                                    ( n raised to power 3 divided by 3 raised to power n )

• A.

  Converges

• B.

  Diverges

• C.

  Oscillatory

• D.

  None

The function f(x) = sin | x | is 

• A.

  Continuous for all x

• B.

  Continuous only at certain points

• C.

  Differentiable at all points

• D.

  None of the above

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

• A.

  -28/√5

• B.

  28/5

• C.

  -28/5

• D.

  28/√5

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 

• A.

  0.45, 0.30 and 0.25

• B.

  0.45, 0.25 and 0.30

• C.

  0.45, 0.55 and 0.00

• D.

  0.45, 0.35 and 0.20

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?

• A.

  4/5

• B.

  2/7

• C.

  8/15

• D.

  4/7

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

• A.

  0.5

• B.

  1.406

• C.

  1.5

• D.

  2

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

• A.

  -120×10^-6

• B.

  -60 × 10^-6

• C.

  0.0

• D.

  120 ×10^-6

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

• A.

  S_P< S_Q< S_{R ;} M_P=M_Q=M_R

• B.

  S_P=S_Q>S_R;  M_P=M_Q>M_R

• C.

  S_P < S_Q > S_{R ;}  M_P =M_Q=M_R

• D.

  S_P < S_Q<SR ; M_P< M_Q <M_R

The beam of an overall depth 250 mm (shown below) is used in a building subjected to two different thermal environments. The temperatures at the top and bottom surfaces of the beam are 36°C and 72°C respectively. Considering coefficient of thermal expansion (α) as 1.50×10⁻⁵ per °C, the vertical deflection of the beam (in mm) at its mid-span due to temperature gradient is ________

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

• A.

  6

• B.

  4

• C.

  3

• D.

  1

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

• A.

  Zero

• B.

  Wl^2/12  hogging 

• C.

  Wl^2/24  hogging

• D.

  Wl^2/12  sagging

Beam PQRS has internal hinges in spans PQ and RS as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity 4 kN/m of any length anywhere on the beam. 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:

• A.

  30

• B.

  40

• C.

  45

• D.

  50

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

• A.

  C₃A

• B.

  C₃S

• C.

  C₂S

• D.

  NONE

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________

Consider the singly reinforced beam section given below(left figure). The stress block parameters for the cross- section from IS: 456-2000 are also given below (right figure). The moment of resistance for the given section by the limit state method is ______ kN-m. ________

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

• A.

  P-2,Q-4,R-1,S-3

• B.

  P-2,Q-1,R-4,S-3

• C.

  P-2,Q-4,R-3,S-1

• D.

   P-4,Q-3,R-1,S-2

Four bolts P, Q, R and S of equal diameter are used for a bracket subjected to a load of 130 kN as shown in the figure. The force in bolt P is

• A.

  32.5 KN

• B.

  69.32 KN

• C.

  82.5

• D.

  119.32

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

• A.

  78 to 85 

• B.

  88 to 92

• C.

  95-100

• D.

  None

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

• A.

  -0.2 and 1.4

• B.

  0.2 and 1.4

• C.

  -1.2 and 0.714

• D.

  1.2 and 0.714

A 4 m thick layer of normally consolidated clay has an average void ratio of 1.30. Its compression index is 0.6 and coefficient of consolidation is 1 m²/yr. If the increase in vertical pressure due to foundation load on the clay layer is equal to the existing effective overburden pressure, the change in the thickness of the clay layer is________ mm.

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

• A.

  0.33

• B.

  0.38

• C.

  0.44

• D.

  0.48

Deposit with flocculated structure is formed when

• A.

  Clay particles settle on sea bed

• B.

  Clay particles settle on fresh water lake bed

• C.

  Sand particles settle on river bed

• D.

  Sand particles settle on sea bed

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

• A.

  SC

• B.

  MI

• C.

  CI

• D.

  SM

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

• A.

  6.83

• B.

  7.83

• C.

  8.83

• D.

  9.83

A pile of diameter 0.4 m is fully embedded in a clay stratum having 5 layers, each 5 m thick as shown in the figure below. Assume a constant unit weight of soil as 18 kN/m³ for all the layers. Using λ-method (λ = 0.15 for 25 m embedment length) and neglecting the end bearing component, the ultimate pile capacity (in kN) is ________

The figure shows a U-tube having a 5 mm × 5 mm square cross-section filled with mercury (specific gravity=13.6) up to a height of 20 cm in each limb (open to the atmosphere). If 5 cm^3 of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in LEFT limb will be ________

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

• A.

   0.0015

• B.

   0.032

• C.

  0.037

• D.

  0.048

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

• A.

  33.23

• B.

  19.23

• C.

  23.23

• D.

  20.23

The pre-jump Froude Number for a particular flow in a horizontal rectangular channel is 10. The ratio of sequent depth (i.e., post-jump depth to pre-jump depth) is ________

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:

• A.

  1

• B.

  2

• C.

  0.5

• D.

  None

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

• A.

  0.08 m³/s

• B.

  0.57 m³/s

• C.

  0.057 m³/s

• D.

  5.7 m³/s

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?

• A.

  2.54 m

• B.

  4.90 m

• C.

  5.77 m

• D.

  6.23 m

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 ?

• A.

  P-III, Q-II, R-V, S-IV

• B.

  P-III, Q-VI, R-I, S-V

• C.

  P-I, Q-V, R-VI, S-II

• D.

  None

The ratio N_f/N_d is known as shape factor, where N_f is the number of flow lines and N_d is the number of equipotential drops. Flow net is always drawn with a constant b/a ratio, where b and a are distances between two consecutive flow lines and equipotential lines, respectively. Assuming that b/a ratio remains the same, the shape factor of a flow net will change if the 

• A.

  Upstream and downstream heads are interchanged

• B.

  Soil in the flow space is changed

• C.

  Dimensions of the flow space are changed

• D.

  Head difference causing the flow is changed

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:

• A.

  0.04

• B.

  0.4

• C.

  0.0004

• D.

  None