Here I am giving you question paper for Gate production and industrial engineering examination in PDF file attached with it .. some content is given below .

Q.5 The area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is

(A) 1/6 (B) 1/4 (C) 1/3 (D) 1/2

Q.6 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

(A) 1 (B) 2 (C) 4 (D) 8

Q.7 A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is

increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same,

the percentage change in the circumferential (hoop) stress is

(A) 0 (B) 1 (C) 1.08 (D) 2.02

Q.9 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

(A) 395 (B) 790

(C) 1580 (D) 3160

Q.14 Which one of the following configurations has the highest fin effectiveness?

(A) Thin, closely spaced fins (B) Thin, widely spaced fins

(C) Thick, widely spaced fins (D) Thick, closely spaced fins

Q.15 Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor, f = 0.0225) of

length 500 m. The volumetric flow rate is 0.2 m3/s. The head loss (in m) due to friction is (assume

g = 9.81 m/s2)

(A) 116.18 (B) 0.116 (C) 18.22 (D) 232.36

Q.16 A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies

to a height of 25 mm. The percentage change in diameter is

(A) 0 (B) 2.07 (C) 20.7 (D) 41.4