Mechanical Engineering (Set 1) - ME 2017 GATE Paper (Practice Test) - Mechanical Engineering MCQ

P, Q, and R talk about S’s car collection. P states that S has at least 3 cars. Q believes that S has less than 3 cars. R indicates that to his knowledge, S has at least one car. Only one of P, Q and R is right. The number of cars owned by S is

He was one of my best __________ and I felt his loss _________.

Directions

Q. No. 6- 10 Carry Two Marks Each

Q.

Two very famous sportsmen Mark and Steve happened to be brothers, and played for country K. Mark teased James, an opponent from country E, “There is no way you are good enough to play for your country.‟‟ James replied, “Maybe not, but at least I am the best player in my own family.” Which one of the following can be inferred from this conversation?

“Here, throughout the early 1820s, Stuart continued to fight his losing battle to allow his sepoys to wear their caste-marks and their own choice of facial hair on parade, being again reprimanded by the commander-in-chief. His retort that „A stronger instance than this of European prejudice with relation to this country has never come under my observations‟ had no effect on his superiors.” According to this paragraph, which of the statements below is most accurate?

The growth of bacteria (lactobacillus) in milk leads to curd formation. A minimum bacterial population density of 0.8(in suitable units) is needed to form curd. In the graph below, the population density of lactobacillus in 1 litre of milk is plotted as a function of time, at two different temperatures, 25°C and 37°C. Consider the following statements based on the data shown above

(i) The growth in bacterial population stops earlier at 37°C as compared to 25°C

(ii) The time taken for curd formation at 25°C is twice the time taken at 37°C 

 Which one of the following options is correct?

Let S₁ be the plane figure consisting of the points (x,y) given by the inequalities |x - 1|≤2 and |y+2|≤ 3. Let S₂ be the plane figure given by the inequalities x - y ≥ -2, y ≥1, and  x ≤3 Let S be the union of S₁ and S₂. The area of S is.

What is the sum of the missing digits in the subtraction problem below?

Directions

Q. No. 1 to 25 Carry One Mark Each

Q. A motor driving a solid circular steel shaft transmits 40kW of power at 500 rpm. If the diameter of the shaft is 40 mm, the maximum shear stress in the shaft is ________MPa.

Consider the following partial differential equation for u(x,y) with the constant c > 1 :  Solution of this equation is 

The following figure shows the velocity-time plot for a particle traveling along a straight line. The distance covered by the particle from t = 0 at t = 5s is______m.

The damping ratio for a viscously damped spring mass system, governed by the relation

 is given by

The differential equation   with the two boundary conditions 

Metricthread of 0.8 mm pitch is to be cut on a lathe. Pitch of the lead screw is 1.5 mm. If the spindle rotates at 1500 rpm, the speed of rotation of the lead screw (rpm) will be _________

The molar specific heat at constant volume of an ideal gas is equal to 2.5 times the universal gas constant (8.314 J/mol.K). When the temperature increases by 100K, the change in molar specific enthalpy is _______________ J/mol.

A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = t², θ( t )= t, where t is time. The kinetic energy of the particle at time t = 2 is

The Poisson"s ratio for a perfectly incompressible linear elastic material is 

A heat pump absorbs 10 kW of heat from outside environment at 250 K while absorbing 15 kW of work. It delivers the heat to a room that must be kept warm at 300K. The Coefficient of Performance (COP) of the heat pump is ___________.

Which one of the following is NOT a rotating machine?

Consider the schematic of a riveted lap subjected to tensile load F, as shown below. Let d be the diameter of the rivets, and joint S_f be the maximum permissible tensile stress in the plates. What should be the minimum fvalue or the thickness of the plates to guard against tensile failure of the plates? Assume the plates to be identical.

Water (density = 1000 kg/m³) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of 1 kg/s. If the pressure drop across the pipe is 100 kPa, the minimum power required to pump the water across the pipe, in watts, is_____

For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?

Cylindrical pins of diameter 15^+0.020 mm are being produced on a machine. Statistical quality control tests show a mean of 14.995 mm and standard deviation of 0.004mm. The process capability index Cp is

The product of eigenvalues of the matrix P is

The value of 

In an arc welding process, welding speed is doubled. Assuming all other process parameters to be constant, the cross sectional area of the weld bead will

A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ______.