GATE Mock Test Mechanical Engineering (ME) - 7 - Mechanical Engineering MCQ

The number lock of a suitcase has 4 wheels, each labelled with ten digits, i.e. from 0 to 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the sequence to open the suitcase?

Fill in the blank with the correct word.

Since she believed him to be both candid and trustworthy, she refused to consider the possibility that his statement had been .

Directions: The table lists the size of building lots in the Orange Grove subdivision and the people who are planning to build on those lots. For each lot, installation of utilities costs $12,516. The city charges impact fees of $3,879 per lot. There are also development fees of 16.15 cents per square foot of land.

A cylinder P of radius 14 m and height 44 m pierces through another cylinder Q whose radius is thrice the radius of cylinder P and height is ;i. times of the cylinder P as shown in the figure below. Two different liquids are poured simultaneously in both the cylinders at the rate of 44 m3/minute in cylinder P and at the rate of 64 m3/ minute in cylinder Q, till the cylinders are filled up to the brim. The time taken to completely fill the two cylinders is

A reservoir will be filled in 12 hours if two pipes function simultaneously. The second pipe fills the reservoir 10 hours faster than the first. How many hours will the second pipe take to fill the reservoir?

In a class, 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?

If prices are reduced by 20% and sales are increased by 15%, what is the net effect on gross receipts?

Which one of the following statements related to grinding process is INCORRECT?

Point A lies on link 2 and B lies on link 4 in the shaper quick return mechanism as shown. Both are coincident points. Which of the following statements is/are correct?

In certain machining operation with a cutting speed of 50 m/min, tool life of 45 min was observed. When the cutting speed was increased to 100 m/min, the tool life is decreased to 10 min. Calculate the cutting speed (in m/min) for maximum productivity, if tool change time is 2 min

The angular velocity of a disk is given by the relation ω = at² + b, where a = 5 rad/s³ and b = 2 rad/s. If the radius of the disk is 0.8 m, then at t = t₁ = 0.5 s, the magnitudes of the velocity and acceleration of point A on the disk respectively are

During heat treatment of steel, the hardness of various structures in increasing order is

In the figure shown, the link acts as part of the elevator control for an airplane. The attached aluminium tube has an inner diameter of 25 mm and a wall thickness of 5 mm.

What will be the maximum shear stress (in MPa) in the tube when a cable force of 600 N is applied to the cables? (Answer up to one decimal place)

Two bodies at different temperatures are mixed in an insulated calorimeter. Which of the following quantities remains conserved?

The height of water in an airtight pressurised tank is 20 m. A hose pointing straight up is connected to the bottom of the tank. The gauge pressure above the water surface is 204 kPa. What will be the maximum height (in m) to which the water stream could rise? (The system is at sea level.) (Answer to the nearest integer.)

Consider the following statements and mention which of them is/are CORRECT?

Consider the following statements for single-stage reciprocating compressors:

1. Isothermal process is the most desirable process for compression.

2. The size of clearance volume provided in the compressor has no effect on work done per kg of air delivered.

3. The volumetric efficiency of the compressor decreases with increasing pressure.

Which of the above statements are correct?

The rise motion of a cam is given by equation where a is total rise and θ is in rad. The jerk at

A water sample at 100 kPa has specific volumes as vf = 0.001043 m³/kg and vg = 1.6940 m³/kg. If the sample has the quality of 10%, the volume fraction of the vapour will be ___. (Answer up to three decimal places.)

Match the type of gears with their most approximate description.

On the psychrometric chart, a cooling and dehumidification process appears as a line that is

The chances of a cricketer scoring a century is 20%. The chances of a cricketer hitting a century and getting above 150 runs in the match is 5%. Given that a cricketer scores a century, the probability that he gets more than 150 runs is —---.

[ give answer into two decimal places]

Which of the following statements is incorrect?

The following data are given for calculating limits of dimensions and tolerance for a hole: Tolerance unit ‘i’ (microns) = 0.45 D1/3 + 0.001D. Where D is in mm. Diameter step is 18-30. If the fundamental deviation for hole H is zero and 1T8 =25 i, the maximum and minimum limit of dimension for 25H8 hole (in mm) respectively are

Let P and Q be square matrices such that PQ = I. Then, zero is an eigenvalue of

During a steady gas metal arc welding with direct current electrode positive polarity; the welding current, voltage and weld speed are 150 A, 30 V and 6 m/min respectively. A metallic wire electrode of diameter 1.2 mm is being fed at a constant rate of 12 m/min. The density, specific heat and melting temperature of the wire electrode are 7000 kg/m³, 500J/kg and 1530°C respectively. The melting efficiency (in %) of the wire electrode is Assume the ambient temperature to be 30°C and neglect the latent heat of melting. Further consider that 2/3rd of the total electrical power is available for melting of the wire electrode.

The value of integral