Home / GATE 2017-2018 / GATE Production :: Practice Test Paper 1

### GATE 2017-2018 :: GATE Production

1.  is
2.  A. 1/4 B. 1/2 C. 1 D. 2

3. For the spherical surface x2 + y2 + z2 = 1, the unit outward normal vector at the point (1/√2, 1/√2, 0) is given by
4.  A. . B. . C. . D. .

5. Consider the function f(x) = |x| in the interval -1 â‰¤ x â‰¤ 1. At the point x = 0, f(x) is
6.  A. continuous and differentiable. B. non-continuous and differentiable. C. continuous and non-differentiable. D. neither continuous nor differentiable.

7. At x = 0, the function f (x) = x3 + 1 has
8.  A. a maximum value B. a minimum value C. a singularity D. a point of inflection

9. The area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is
10.  A. 1/6 B. 1/4 C. 1/3 D. 1/2

11. For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is
12.  A. 1 B. 2 C. 4 D. 8

13. A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the Young's modulus is E. The magnitude of the maximum deflection is
14.  A. ML2/2EI B. ML2/EI C. 2ML2/EI D. 4ML2/EI

15. A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is
16.  A. 395 B. 790 C. 1580 D. 3160

17. In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is

18.  A. 0.05 B. 0.1 C. 5.0 D. 10.0

19. Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the saturated liquid and vapor at 15 kPa are hf = 225.94 kJ/kg and hg = 2598.3 kJ/kg respectively. The mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power output of the turbine in MW is
20.  A. 6.5 B. 8.9 C. 9.1 D. 27.0