GATE Mock Test Mechanical Engineering (ME) - 9 - Mechanical Engineering MCQ

Directions: The first figure in the first unit of the Problem Figures bears a certain relationship to the second figure. Similarly one of the figures in the Answer Figures bears the same relationship to the second figure. Locate the figure which would fit in the question mark.

Find the number to be placed as X in figure-iv:

SBI lent 1 lakh to farmer Kishan Singh at 6% per annum, at simple interest for a period of 10 years. Meanwhile, the bank offered a discount in the rate of interest, according to the Govt. policy for farmers. Thus, the rate of interest is decreased to 4% p.a. In this way, Kishan Singh had to pay a total amount 1.48 lakh. After how many years did Kishan Singh got the discount in the rate of interest?

In a class, some students play cricket and some play hockey. The students who play cricket is twice in number than those who play only hockey. The students who takes hockey are double in number than those who play only cricket. Consider the following statements and find correct ones:

1. Sum total of those students who play either cricket or hockey or both is thrice of those who play both cricket and hockey.

2. Sum total of those who play only cricket and only hockey, is twice the number of students playing both cricket and hockey.

Daniel starts his morning walk in a straight line. After going 10 meters straight, he starts walking towards his right and walks for 25 meters straight. He then takes his left turn and finds that the sun is to his left. He walks in this direction for another 10 meters and then takes another right turn and after walking 25 meters straight, he ends his morning walk.

When Daniel started his morning walk, in which direction was he facing?

The following pie charts show the break-up of the sales of ‘5’ different models of KK automobiles. Solve the question based on it.

What is the percentage change in the sales of K-800 from 1997 to 1998?

Four cities are connected by a road network, as shown in the figure. In how many ways can you start from any city and come back to it without travelling on the same road more than once?

Consider the given data for a porter governor:

• Power of the governor = 3.48 Nm

• Mass of fly ball =3.9 kg

• Mass of the sleeve = 19.1 kg

• Maximum rise of the sleeve = 240 mm

• K = 1

The fraction change in speed is

Inverse Laplace Transform of is

For an involute rack and pinion arrangement, the value of pressure angle and module is kept fixed at 20° and 5 mm. If the addendum of the rack is 6 mm, then minimum number of teeth on pinion to avoid interference is

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

Two vessels contain mixtures of spirit and water. In the first vessel, the ratio of spirit to water is 8 : 3 and in the second, the ratio is 5 : 1. A 35 litre cask is filled from these vessels, so as to contain a mixture of spirit to water in the ratio of 4 : 1. How much mixture is taken from the first vessel?

A bell-crank lever ABC is pivoted at B and carries a weight 14 kN at C as shown in figure. Take AB = 21 cm and BC = 30 cm. The horizontal force F (in kN) necessary to prevent turning of the lever, is _______. (Answer up to two decimal places)

For the stability of a floating body, under the influence of gravity alone, which of the following is TRUE?

In a beam of circular cross-section, the shear stress variation across a cross - section

In an orthogonal cutting, cutting force is 350 N and the thrust force is 250 N. Rake angle is 10°. The effective coulomb's coefficient is . (Round off to two decimal places)

A cantilever beam of length is subjected to a concentrated load P at a distance of l/3 from the free end. What is the deflection of the free end of the beam? (EI is the flexural rigidity)

A flat plate of 15 cm wide and 45 cm long placed longitudinally in a stream of oil of RD = 0.925 and kinematic viscosity of 0.9 stoke, flowing with a free stream velocity of 6 m/s. The friction drag on the plate (in N) is____________.

Take

The total number of instantaneous centres for a mechanism consisting of 'n' links is

In the isothermal transformation diagram for a 0.45 wt% C steel alloy, when we rapidly cool a small austenite specimen to 200°C and keep it there for about 1000 s, the major constituent in the final micro structure is

If 'n' variables in a physical phenomenon contained 'm' fundamental dimensions, then the variables can be arranged into

A body rotating at 20 rad/s is acted upon by a constant torque providing it a deceleration of 2 rad/s². The time (in s) at which the body have same kinetic energy as the initial if the torque continues to act is

Which one of the following is the correct expression for one-dimensional, steady-state, constant thermal conductivity heat conduction equation for a cylinder with heat generation?

By application of tensile force, the cross-sectional area of a bar P is first reduced by 30% and then by an additional 20% of initial original area. Another bar Q of the same material is reduced in cross-sectional area by 50% in a single step by applying tensile force. After deformation, the true strains in bar P and bar Q will respectively be

In the design of beams for a given strength, consider that the conditions of economy of used of the material would avail as follows:

1. Rectangular cross-section is more economical than square section of the same cross-sectional area of the beam.

2. Circular section is more economical than square section.

3. I-section is more economical than a rectangular section of the same depth.

Which of the above are correct?

The resultant force acting at a tool point is 1200 N and its angle of inclination to the horizontal is 58°. The plan approach angle to which it acts perpendicularly is 28°. The required feed force to turn the component (in N) is

Size of a shaper is given by