Mock GATE Exam 2019 - Civil Engineering

65 Questions | Total Attempts: 76

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Mock GATE Exam 2019 - Civil Engineering

Paper Specific Instructions CE: Civil Engineering Duration : 180 minutes Total Marks : 100 Read the following instructions carefully Go through various question palette symbols and understand their meanings before starting the examination


Questions and Answers
  • 1. 
    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

  • 2. 
    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

  • 3. 
    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.

  • 4. 
    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

  • 5. 
    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

  • 6. 
    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

  • 7. 
    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

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

      OV

    • B. 

      OW

    • C. 

      PV

    • D. 

      PW

  • 9. 
    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

  • 10. 
    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? [Blank]
  • 11. 
    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

  • 12. 
    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)

  • 13. 
    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 

  • 14. 
    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

  • 15. 
    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

  • 16. 
    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

  • 17. 
    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

  • 18. 
    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

  • 19. 
    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

  • 20. 
    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

  • 21. 
    A plate in equilibrium is subjected to uniform stresses along its edges with magnitude  σxx=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 σzz is negligibly small and assumed to be zero, then the strain εzz is
    • A. 

      -120×10-6

    • B. 

      -60 × 10-6

    • C. 

      0.0

    • D. 

      120 ×10-6

  • 22. 
    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 × 10MPa; 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. 

      SP< SQ< SR ; MP=MQ=MR

    • B. 

      SP=SQ>SR;  MP=MQ>MR

    • C. 

      S< S> SR ;  M=MQ=MR

    • D. 

      SP < SQ<SR ; MP< MQ <MR

  • 23. 
    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 [Blank]
  • 24. 
    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

  • 25. 
    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

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