Mechanical Engineering Gate 2015 Set-1 Questions with Answer

Ques 27 GATE 2015 SET-1

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

Ques 28 GATE 2015 SET-1

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.

Ques 29 GATE 2015 SET-1

A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. While swimming against the flow, she takes 5 hours for the same distance. Her speed in still water (in km/h) is ________.

Ques 30 GATE 2015 SET-1

For flow of viscous fluid over a flat plate, if the fluid temperature is the same as the plate temperature, the thermal boundary layer is

Ques 31 GATE 2015 SET-1

For flow through a pipe of radius R, the velocity and temperature distribution are as follows: u(r,x) = C₁, and T(r,x) = C₂[1 - (r/R)³], where C₁ and C₂ are constants. The bulk mean temperature is given by T_m = (2/(U_mR²)) ∫₀^R u(r,x)T(r,x)rdr, with U_m being the mean velocity of flow. The value of T_m is

Ques 32 GATE 2015 SET-1

A 10 mm diameter electrical conductor is covered by an insulation of 2 mm thickness. The conductivity of the insulation is 0.08 W/m-K and the convection coefficient at the insulation surface is 10 W/m²-K. Addition of further insulation of the same material will

Ques 33 GATE 2015 SET-1

Following data refers to the activities of a project, where, node 1 refers to the start and node 5 refers to the end of the project.

Ques 34 GATE 2015 SET-1

For a canteen, the actual demand for disposable cups was 500 units in January and 600 units in February. The forecast for the month of January was 400 units. The forecast for the month of March considering smoothing coefficient as 0.75 is ________.

Ques 35 GATE 2015 SET-1

Which one of the following is the most conservative fatigue failure criterion?

Ques 36 GATE 2015 SET-1

A machine element is subjected to the following bi-axial state of stress: σ_x = 80 MPa; σ_y = 20 MPa; τ_xy = 40 MPa. If the shear strength of the material is 100 MPa, the factor of safety as per Tresca's maximum shear stress theory is

Ques 37 GATE 2015 SET-1

A horizontal plate has been joined to a vertical post using four rivets arranged as shown in the figure. The magnitude of the load on the worst loaded rivet (in N) is ________.

Ques 38 GATE 2015 SET-1

Match the following products with preferred manufacturing processes:

Ques 39 GATE 2015 SET-1

Under certain cutting conditions, doubling the cutting speed reduces the tool life to (1/16)^th of the original. Taylor's tool life index (n) for this tool-workpiece combination will be ________.