Mechanical Engineering - ME 2015 GATE Paper (Practice Test) - GATE MCQ

An electric bus has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches M, N, O and P, in that order. The cumulative distances travelled and the corresponding electricity consumption are shown in the table below.

The stretch where the electricity consumption per km is minimum is

Choose the word most similar in meaning to the given word:

Awkward

Q. No. 6 – 10 Carry Two Marks Each

In the following sentence certain parts are underlined and marked P, Q and R. One of the parts may contain certain error or may not be acceptable in standard written communication.  

Select the part containing an error. Choose D as your Answer: if there is no error.

Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.

Statement:

I. All film stars are playback singers.

II. All film directors are film stars.

Conclusions:

I. All film directors are playback singers.

II. Some film stars are film directors.

Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the Chief Minister last year, asking him to allocate more funds to support arts education in schools. However, no such increase has been announced in this year?s Budget. The artists expressed their deep anguish at their request not being approved, but many of them remain optimistic about funding in the future.

Which of the statement(s) below is/are logically valid and can be inferred from the above statements?

i. The artists expected funding for the arts to increase this year.

ii. The Chief Minister was receptive to the idea of increasing funding for the arts.

iii. The Chief Minister is a prominent artist.

iv. Schools are giving less importance to arts education nowadays.

If a² + b² + c² +1, then ab + bc + ac lies in the interval

A tiger is 50 leaps of its own behind a deer. The tiger takes 5 leaps per minute to the deer?s 4. If the tiger and the deer cover 8 metre and 5 metre per leap respectively, what distance in meters will the tiger have a run before it catches the deer?

Q. No. 11 – 35 Carry One Mark Each

If any two columns of a determinant   are interchanged, which one of the following statements regarding the value of the determinant is CORRECT?

A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10 m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is ______.

(Important - Enter only the numerical value in the answer)

Which one of the following types of stress-strain relationship best describes the behavior of brittle materials, such as ceramics and thermosetting plastics, (σ = stress and ε = strain)?

The function of interpolator in a CNC machine controller is to

Holes of diameter  mm are assembled interchangeably with the pins of diameter  mm.

The minimum clearance in the assembly will be

Simpson?s 1/3 rule is used to integrate the function  between x = 0 and x = 1 using the least number of equal sub-intervals. The value of the integral is ___________

(Important - Enter only the numerical value in the answer)

Consider fully developed flow in a circular pipe with negligible entrance length effects. Assuming the mass flow rate, density and friction factor to be constant, if the length of the pipe is doubled and the diameter is halved, the head loss due to friction will increase by a factor of

For an ideal gas with constant values of specific heats, for calculation of the specific enthalpy,

A Carnot engine (CE-1) works between two temperature reservoirs A and B, where T_A = 900 K and TB = 500 K. A second Carnot engine (CE-2) works between temperature reservoirs B and C, where T_C = 300 K. In each cycle of CE-1 and CE-2, all the heat rejected by CE-1 to reservoir B is used by CE-2. For one cycle of operation, if the net Q absorbed by CE-1 from reservoir A is 150 MJ, the net heat rejected to reservoir C by CE-2 (in MJ) is _________.

(Important - Enter only the numerical value in the answer)

A stream of moist air (mass flow rate = 10.1 kg/s) with humidity ratio of  mixes with a second stream of superheated water vapour flowing at 0.1 kg/s. Assuming proper and uniform mixing with no condensation, the humidity ratio of the final stream  is ___________.

(Important - Enter only the numerical value in the answer)

Consider a steel (Young?s modulus E = 200 GPa) column hinged on both sides. Its height is 1.0m and cross-section is 10 mm × 20 mm. The lowest Euler critical buckling load (in N) is ______.

(Important - Enter only the numerical value in the answer)

Air enters a diesel engine with a density of 1.0 kg/m3. The compression ratio is 21. At steady state, the air intake is 30 × 10–3 kg/s and the net work output is 15 kW. The mean effective pressure (kPa) is _______.

(Important - Enter only the numerical value in the answer)

Match the following products with preferred manufacturing processes:

Under certain cutting conditions, doubling the cutting speed reduces the tool life to  of the original. Taylor?s tool life index(n) for this tool-workpiece combination will be _______

Consider a slider crank mechanism with nonzero masses and inertia. A constant torque τ is applied on the crank as shown in the figure. Which of the following plots best resembles variation of crank angle, θ versus time

Two identical trusses support a load of 100 N as shown in the figure. The length of each truss is 1.0 m, cross-sectional area is 200 mm₂; Young?s modulus E = 200 GPa. The force in the truss AB (in N) is ______

(Important - Enter only the numerical value in the answer)

Among the four normal distributions with probability density functions as shown below, which one has the lowest variance?

Given two complex numbers   the argument of  in degrees is

The Blasius equation related to boundary layer theory is a