GATE Mock Test Mechanical Engineering (ME) - 4 - Mechanical Engineering MCQ

One of the four words given in the four options does not fit the set of words. The odd word from the group is:

Kishenkant walks 10 kilometres towards North. From there, he walks 6 kilometres towards south. Then, he walks 3 kilometres towards east. How far and in which direction is he with reference to his starting point?

Directions: Select the missing number from the given responses.

The following question has four statements of three segments each. Choose the alternative where the third segment in the statement can be deduced using both the preceding two but not just from one of them.

A. Sonia is an actress. Some actresses are pretty. Sonia is pretty.

B. All actors are pretty. Manoj is not an actor. Manoj is not pretty

C. Some men are cops. Some men are brave. Some brave people are cops.

D. All cops are brave. Some men are cops. Some men are brave.

Directions: The second figure in the first part of the problem figures bears a certain relationship to the first figure. Similarly, one of the figures in answer figures bears the same relationship to the first figure in the second part of the problem figures. You have to select the figure from the set of answer figures (a, b, c and d) which would replace the sign of the question mark (?).

One of the four words given in the four options does not fit the set of words. The odd word from the group is

Find the missing set of letters in the following series.

BAD, DAB, CAE, EAC, _____

A radiator has a cooling pipe of diameter 40 mm and negligible thickness. Fins are attached on the outer surface of the pipe in order to increase the heat transfer surface area on the air side. The heat transfer coefficient on inner and outer surfaces are 2000 W/m²K and 150 W/m²K respectively. If the effective surface area on the finned side is 12 times the inner surface area, the overall heat transfer coefficient of this heat exchanger based on inside surface area (in W/m²K) is_________.

If f(x) = |x|, then

The ratio of press force required to punch a circular hole of 30 mm diameter in a 1 mm thick sheet to that needed to punch a circular hole of 60 mm diameter in a 2 mm thick steel sheet is_________ . (Rounded to two decimal places)

Given that u = e^xyz.

∂³u/∂x∂y∂z is equal to

In a numerical control machining operation, the tool has to be moved from point (5,4) to point (7,2) along a circular path with center at (5,2). Before starting the operation, the tool is at (5,4). The correct G and M code for this motion is

Ball bearings are rated by a manufacturer for a life of 10⁶ revolutions. The catalogue rating of a particular bearing is 16 kN. If the design load is 2 kN, the life of the bearing will be p x 10⁶ revolutions, where p is equal to _____. (Answer up to the nearest integer)

A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.

Assume it is a steady process and no KE and PE. No heat loss to surroundings.

If the Poisson's ratio of an elastic material is 0.4, the ratio of modulus of rigidity to Young's modulus is _______.

(Rounded off to three decimal places)

In a class, 40% students study Mathematics, 25% study Chemistry and 15% study both the subjects. A student is chosen at random. The probability that he studies Mathematics, if it is known that he studies Chemistry, is

A thin gas cylinder with an internal radius of 100 mm is subject to an internal pressure of 10 MPa. The maximum permissible working stress is restricted to 100 MPa. The minimum cylinder wall thickness (in mm) for safe design must be _____. (Answer to the nearest integer)

The velocity of water (before mixing with abrasives) at the orifice of the abrasive water jet machining head is 900 m/s. After complete mixing with the abrasive, the velocity of the water abrasive jet is 787.6 m/s. Discharge coefficients considered to be unity. If the water mass flow rate is 2.8 kg/mm by considering velocity of abrasives at entry as 0, the abrasive mass flow rate is nearest to (in kg /min) is

Match List I (Fluid properties) with List II (Relate terms) and select the correct answer using the codes given below the lists:

If a complex number

then ।z। would be

The _______ number is a significant dimensionless parameter for forced parameter convection and the _______ number is a significant dimensionless parameter for natural convection.

If the eigen values of a 4 x 4 matrix A are 2, 4, 7, -3 then the rank of a matrix A is

To reduce consumption of synthetic resins, the ingredient to be added is

Major operations in the manufacture of steel balls used for ball bearings are given below:

1. Oil lapping

2. Cold heading

3. Annealing

4. Hardening

5. Rough grinding

The correct sequence of these operations is

In this view factor matrix shown below, the sum of missing element is ______________.

View factor matrix for 3 surfaces =

(Matrix represent the view factor between 3 surfaces)

Carburised machine components have higher endurance limit, because carburisation