Mock GATE Exam 2019 - Civil Engineering

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6. 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 _____

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

91

93

89

96

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

OV

OW

PV

PW

9. 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

10. 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

11. 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 2m10¹¹ 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

12. 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

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

SP< SQ< SR ; MP=MQ=MR

SP=SQ>SR; MP=MQ>MR

SP < SQ > SR ; MP =MQ=MR

SP < SQ<SR ; MP< MQ <MR

14. 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

15. 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

16. 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

17. 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

18. 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

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

20 μPa

20 db

10 db

None

20. 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

21. The soil profile above the rock surface for a 25^oinfinite 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

22. 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

23. 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

24. The function f(x) = sin | x | is

Continuous for all x

Continuous only at certain points

Differentiable at all points

None of the above

25. 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)

26. 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 m 10^-6 m²/sec, the friction factor of the pipe material is

0.0015

0.032

0.037

0.048

27. 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 m 10^-5m²/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

28. 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

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

C3A

C3S

C2S

NONE

30. 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

31. 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

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

One

Two

Three

None of the above

33. 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

34. 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

35. 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

36. 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

37. 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

38. 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

39. 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

40. 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

41. The following details refer to a closed traverse:

Line	Consecutive coordinate
Line	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°

42. 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

43. 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

44. 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

45. 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

46. 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

47. 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

48. 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

49. 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

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

Converges

Diverges

Oscillatory

None

51. 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

Upstream and downstream heads are interchanged

Soil in the flow space is changed

Dimensions of the flow space are changed

Head difference causing the flow is changed

52. In a region with magnetic declination of 2ºE, the magnetic Fore bearing (FB) of a line AB was measured as N79º50' E. There was local attraction at A. To determine the correct magnetic bearing of the line, a point O was selected at which there was no local attraction. The magnetic FB of line AO and OA were observed to be S52º40'E and N50º20'W, respectively. What is the true FB of line AB ?

N81º50'E

N82º10'E

N84º10'E

N77º50'E

53. In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity 2.60, 2.70, 2.65 and 1.01, are mixed in the relative proportions (% by weight) of 55.0, 35.8, 3.7 and 5.5 respectively. The theoretical specific gravity of the mix and the effective specific gravity of the aggregates in the mix respectively are :

2.42 and 2.78

2.42 and 2.93

2.42 and 2.63

2.64 and 2.78

54. 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:

30

40

45

50

55. 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

32.5 KN

69.32 KN

82.5

119.32

56. Choose the grammatically INCORRECT sentence:

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

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

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

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

57. 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 1.50m10⁻⁵ per °C, the vertical deflection of the beam (in mm) at its mid-span due to temperature gradient is

_____

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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