GATE Mechanical (ME) Practice Test: Engineering (ME)- 2 Free Online Test

There are two lines made by joining points A, B,C. B lies between the line joining A and C. Is the distance between the A and C passes through the B more then 7 Km.

(i) The distance between A and B is 6 Km

(ii) Distance between B to C is 2 Km long,

Direction: In the given question, a word/phrase is given followed by three statements; I, II and III. Choose the pair of sentences which can be combined using the given word/ phrase when used at the beginning of the new sentence.

And

I: When Lionel Messi, Ronaldo and Neymar kick and dribble the football, they don’t remain confined to Argentina, Portugal or Brazil, respectively.

II: Let the entire world realise that through sports, especially football, we all can cement our bonds, wash away our bitterness and prejudices.

III: Live with a greater sense of closeness and joy with each other.

Which of the following is the MOST SIMILAR in meaning to Accreditation?

In how many ways can you place 2 white bishops on an empty chess board?

Direction: In the question below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statement:

No physics is maths.

Some chemistry is maths.

All sciences are chemistry.

Conclusion:

I. No science is physics.

II. Some physics are science.

III. Some physics are chemistry.

Direction: Read the information carefully and give the answer of the following questions-

(This pie chart shows the percentage of students appear in six different exams in 2016)

(This bar graph shows the percentage of failed students which appear in these six different exams in 2016)

If in 2016, total number of failed students in exam F was 4080, then how many passed students appears in the exam B?

Direction: Two sentences with two blanks in each, followed by five alternatives with two words in each, are given. Choose that option as the answer which can fill both the blanks of both the sentences.

i. A sinking feeling of panic ________ over them and a temporary paralyzing fear engulfed them ________.

ii. Being a cleanliness freak, she ________ the floor and went down to the market only after the house was _________ clean.

In the following question, some statements followed by some conclusions are given. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows the given statements.

Statement:

Tension is detrimental to physical and mental health.

Conclusions:

I. To be healthy one should be free from tension.

II. Mental health depends upon the tension one experiences.

4 identical solid spheres are melted and reformed into a solid hemisphere. Then, the ratio of the curved surface area of the hemisphere to half of the surface area of a single sphere is -

A study of people who reduced the calories they consumed has found the strongest evidence yet that such restrictions slow down metabolism, raising hopes that a low calories lifestyle or treatments stimulating biological effects of restricted eating, could prolong health in old age. The report provides the most robust evidence to date that everything we have learnt in other animals can be applied to humans.

Which of the following argument will prove that the above conclusion is flawed?

If two gears have moment of inertia as I1 and I2 respectively and mesh with a speed ratio ω₂/ω₁ = n then equivalent moment of inertia of both gears referred to first one is?

A solid body formed by joining the base of a right circular cone of height equals to 150mm to the equal base of a right circular cylinder of height h = 45mm. Calculate the distance of the centre of mass of the solid from its plane face?

Two steel sheet of 1 mm thick are resistance welded in a lap joint with a current of 10000 A for 0.1 sec. The effective resistance of joint can be taken as 100μΩ. The joint can be considered as cylinder φ₅ of mm and 1.5 mm height. Ρ_steel = 0.00786 g/mm³. The heat lost surroundings if the heat required to melt steel is 10 J/mm³ is?

A plate 1 mm distance from a fixed plate, is moving at 500 mm/s by a force induces a shear stress of 0.3 kg(f)/m². The kinematic viscosity of the fluid (mass density 1000 kg/m³) flowing between two plates (in Stokes) is?

For a circular shaft of diameter d subjected to torque T, the maximum value of the shear stress is?

Figure shows the cross-section of a cast iron beam. Determine the moments of inertia of the section about horizontal axis passing through the centroid of the section.

A liquid with specific gravity of 0.94 undergoes a reduction in volume of 0.22% when subjected to an increase in pressure of 1400kPa. The velocity of propagation of sound in this liquid will be ___________m/s

Heat flows through a composite slab as shown below, The depth of the slab is 10 cm. The k values are in W/m-K. The heat flow rate through the composite wall in W is?

A matrix has eigen values of ‒ 1 and ‒ 2 respectively. The corresponding eigen vectors are respectively. The matrix is?

The turing moment diagram for engine is shown below.If the rotating parts have mass =50 kg, radius of gyration as 2.1 m and the fluctuation of speed is limited to 1.50% of mean speed on either side, find area A₁ shaded as shown in figure[A₁=A₂=A₃=A₄].Angular speed is 50 rad/s.

Newton-Raphson method is used to find the roots of the equation. x³+2x²+3x-1 =0If the initial guess is x₀ = 1, then the value of x after 2^nd iteration is _____?

A thin cylinder of internal diameter 60 mm and wall thickness 2mm is subjected to an internal pressure of 1.25 N/mm². The cylinder is also subjected to a torque of 60 Nm, the axis of the torque coinciding with that of the cylinder. The minor principal stress is MPa.

For the mechanism shown below Find the ratio of angular velocities of the link 2 and link 4.

Consider the following linear programming problem:

Maximize Z =2A+3B, Subject to A+B ≤10, 4A+6B≤30, 2A+B≤17, A,B≥0

What can one say about the solution?

For the differential equation dy/dx + ay = 0 with y(0) = 1, solution is?

A bullet of weight 1.4g enters a wooden partition block at a velocity of 955 m/s and 0.003s after entering the block. Determine the length penetration of bullet.

In a JIT system, demand for a particular product is 2000 units. The safe stock is 15% of authorised inventory. The product spends 0.06 day in handling and 0.04 in processing. How many containers are to be authorised if 1 can contains 10 parts.

A steel tube having inner radius 1 cm and outer radius 2.5 cm is covered with asbestos of thickness 3cm. the temperature difference between the outer surface of asbestos and inner surface of steel is 600°C. K_steel=19w/m2k and K_asbestos= 0.2 w/m2k. Calculate the heat transfer rate per unit length of the pipe in W/m

The sales of car in a showroom in first, second and third months are 70, 68 and 82 respectively. With the smoothing constant of 0.4, Find the forecast for the next month.

Square root of ratio of load required to buckle a column fixed on both ends to a column fixed on one end, free at other end is _____. The geometric length of both columns is same.