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GATE 2017-2018 :: GATE Civil

  1. Two bitumen samples "X and "Y have softening points 45oC and 60oC, respectively. Consider the following statements: 
    I. I Viscosity of "X will be higher than that of "Y at the same temperature. 
    II Penetration value of "X will be lesser than that of "Y under standard conditions. 
    The CORRECT option evaluating the above statements is
  2. A.
    Both I and II are TRUE
    B.
    I is FALSE and II is TRUE
    C.
    Both I and II are FALSE
    D.
    I is TRUE and II is FALSE

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  3. Road roughness is measured using
  4. A.
    Benkelman beam
    B.
    Bump integrator
    C.
    Dynamic cone penetrometer
    D.
    Falling weight deflectometer

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  5. Which of the following errors can be eliminated by reciprocal measurements in differential leveling? 
    I Error due to earth's curvature 
    II Error due to atmospheric refraction
  6. A.
    Both I and II
    B.
    I only
    C.
    II only
    D.
    Neither I nor II

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  7. The error in  for a continuous function estimated with h = 0.03 using the central difference formula , is 2 * 10-3. The values of x0 and f(x0) are 19.78 and 500.01, respectively. The corresponding error in the central difference estimate for h = 0.02 is approximately
  8. A.
    1.3 * 10-4
    B.
    3.0 * 10-4
    C.
    4.5 * 10-4
    D.
    9.0 * 10-4

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  9. In an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is
  10. A.
    1/32
    B.
    2/32
    C.
    3/32
    D.
    6/32

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  11. The eigenvalues of matrix  are
  12. A.
    -2.42 and 6.86
    B.
    3.48 and 13.53
    C.
    4.70 and 6.86
    D.
    6.86 and 9.50

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  13. The solution of the ordinary differential equation dy/dx + 2y = 0 for the boundary condition, y = 5 at x = 1 is
  14. A.
    y = e-2x
    B.
    y = 2e-2x
    C.
    y = 10.95e-2x
    D.
    y = 36.95e-2x

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  15. A simply supported beam is subjected to a uniformly distributed load of intensity w per unit length, on half of the span from one end. The length of the span and the flexural stiffness are denoted as l and EI, respectively. The deflection at mid-span of the beam is
  16. A.
    5/6144 wl4/EI
    B.
    5/768 wl4/EI
    C.
    5/384 wl4/EI
    D.
    5/192 wl4/EI

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  17. The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force P and a moment M at mid-height. The reaction(s) at R is/are

  18. A.
    a vertical force equal to P
    B.
    a vertical force equal to P/2
    C.
    a vertical force equal to P and a horizontal force equal to M/h
    D.
    a vertical force equal to P/2 and a horizontal force equal to M/h

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  19. A concrete beam prestressed with a parabolic tendon is shown in the sketch. The eccentricity of the tendon is measured from the centroid of the cross-section. The applied prestressing force at service is 1620 kN. The uniformly distributed load of 45 kN/m includes the self-weight.

    The stress (in N/mm2) in the bottom fibre at mid-span is
  20. A.
    tensile 2.90
    B.
    compressive 2.90
    C.
    tensile 4.32
    D.
    compressive 4.32

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