Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - GATE MCQ

Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place?

Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7km away from where I live Arun is farther away than Ahmed but closer than susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place?

Q. 6 – Q. 10 carry two marks each.

Q. 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?

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

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 often than Leela does.
Which one of the following statements must be TRUE based on the above?

the value of abc is______

P,Q,R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working along for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?

Q. 11 – Q. 35 carry one mark each:

Q. The solution to the system of equations is

If f(t) is a function defined for all t > 0, its laplace transform F(s) is defined as

f(z) = u(x,y) + i v(x,y) is an analytic function of complex variable z = x + iy where i = . If u(x,y) = 2 xy, then v(x,y) may be expressed as 

Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is μ. The standard deviation for this distribution is given by

Solve the equation x = 10 cos (x) using the Newton-Raphson method. The initial guess is x = π/4.
The value of the predicted root after the first iteration, up to second decimal, is __________.

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

A rigid ball of weight 100 N is suspended with the help of a string. The ball is pulled by a horizontal force F such that the string makes an angle of 30? with the vertical. The magnitude of force F (in N) is _____

A point mass M is released from rest and slides down a spherical bowl (of radius R ) from a height H as shown in the figure below. The surface of the bowl is smooth (no friction). The velocity of the mass at the bottom of the bowl is

The cross sections of two hollow bars made of the same material are concentric circles as shown in the figure. It is given that r₃ > r₁ and r₄ > r₂, and that the areas of the cross-sections are the same. J₁ and J₂ are the torsional rigidities of the bars on the left and right, respectively. The ratio J₂/J₁ is

A cantilever beam having square cross-section of side a is subjected to an end load. If a is increased by 19%, the tip deflection decreases approximately by

A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car. The combined moment of inertia of the rotating masses is 10 kg-m². The magnitude of the gyroscopic moment (in N-m) is_____

A single degree of freedom spring mass system with viscous damping has a spring constant of 10 kN/m. The system is excited by a sinusoidal force of amplitude 100 N. If the damping factor (ratio) is 0.25, the amplitude of steady state oscillation at resonance is ________mm

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

The instantaneous stream-wise velocity of a turbulent flow is given as follows:

The time – average of the fluctuating velocity u' (x,y, z, t)

For a floating body, buoyant force acts at the

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

Which of the following statements are TRUE with respect to heat and work?
(i) They are boundary phenomena
(ii) They are exact differentials
(iii) They are path functions

Propane (C₃H₈) is burned in an oxygen atmosphere with 10% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, the volume percentage of CO in the products is ____

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

Consider two hydraulic turbines identical specific speed and effective head at the inlet. If the speed
ratio  of the two turbines is 2, then the respective power ratio   _________.

The INCORRECT statement about regeneration in vapor power cycle is that

The “Jominy test” is used to find