Mechanical Engineering Gate 2016 Set-1 Questions with Answer

Ques 27 GATE 2016 SET-1

A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?

Ques 28 GATE 2016 SET-1

In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong.
Which of the following inference(s) is/are logically valid and can be inferred from the above passage?
(i) His friends were always asking him to help them.
(ii) He felt that when in need of help, his friends would let him down.
(iii) He was sure that his friends would help him when in need.
(iv) His friends did not help him last week.

Ques 29 GATE 2016 SET-1

Leela is older than her cousin Pavithra. Pavithra's brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does.
Which one of the following statements must be TRUE based on the above?

Ques 30 GATE 2016 SET-1

If q^-a = 1/r, r^-b = 1/s, and s^-c = 1/q, the value of abc is

Ques 31 GATE 2016 SET-1

A plastic sleeve of outer radius r_o = 1 mm covers a wire (radius r = 0.5 mm) carrying electric current. Thermal conductivity of the plastic is 0.15 W/m-K. The heat transfer coefficient on the outer surface of the sleeve exposed to air is 25 W/m²-K. Due to the addition of the plastic cover, the heat transfer from the wire to the ambient will

Ques 32 GATE 2016 SET-1

A steel ball of 10 mm diameter at 1000 K is required to be cooled to 350 K by immersing it in a water environment at 300 K. The convective heat transfer coefficient is 1000 W/m²-K. Thermal conductivity of steel is 40 W/m-K. The time constant for the cooling process τ is 16 s. The time required (in s) to reach the final temperature is ________.

Ques 33 GATE 2016 SET-1

An infinitely long furnace of 0.5 m x 0.4 m cross-section is shown in the figure. Consider all surfaces of the furnace to be black. The top and bottom walls are maintained at temperature T₁ = T₃ = 927°C while the side walls are at temperature T₂ = T₄ = 527°C. The view factor, F_1-2 is 0.26. The net radiation heat loss or gain on side 1 is ________ W/m. Stefan-Boltzmann constant = 5.67x10^-8 W/m²-K⁴.

Ques 34 GATE 2016 SET-1

A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300 K. The velocity of the fluid is 10 m/s. Assuming kinematic viscosity, ν = 30x10^-6 m²/s, the thermal boundary layer thickness (in mm) at 0.5 m from the leading edge is ________.

Ques 35 GATE 2016 SET-1

The annual demand for an item is 10,000 units. The unit cost is Rs. 100 and inventory carrying charges are 14.4% of the unit cost per annum. The cost of one procurement is Rs. 2000. The time between two consecutive orders to meet the above demand is ________ month(s).

Ques 36 GATE 2016 SET-1

The spring constant of a helical compression spring DOES NOT depend on

Ques 37 GATE 2016 SET-1

The principal stresses at a point inside a solid object are σ₁=100 MPa, σ₂=100 MPa and σ₃=0 MPa. The yield strength of the material is 200 MPa. The factor of safety calculated using Tresca (maximum shear stress) theory is n_T and the factor of safety calculated using von Mises (maximum distortional energy) theory is n_v. Which one of the following relations is TRUE?

Ques 38 GATE 2016 SET-1

Under optimal conditions of the process the temperatures experienced by a copper work piece in fusion welding, brazing and soldering are such that

Ques 39 GATE 2016 SET-1

The part of a gating system which regulates the rate of pouring of molten metal is