GATE Mock Test Mechanical Engineering (ME) - 6 - Mechanical Engineering MCQ

What is the chance that a leap year, selected at random, will contain 53 Sundays?

How many squares on (a) chess board?

In a group, the ratio of the number of boys to the number of girls is P. The ratio of the number of girls to the number of boys is Q, then P + Q is always

In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?

Directions: Out of the given figures, three are similar in a certain way. One figure is not like the other three. Find out the figure which does not belong to the group.

The collection may improve only if the govemment raises taxes.

1. Whenever the taxes are raised, the collections improve.

2. The collections never improve when taxes are raised.

3. The collections will not improve if the taxes are not raised.

Which of the following can be logically inferred from the above statement?

Directions: In the question given below, a statement is followed by three courses of action labelled (A), (B) and (C). A course of action is a step or administrative decision to be taken for improvement, follow-up or further action in regard to the problem, policy, etc. On the basis of the information given in the statement, you have to assume everything in the statement to be true and then decide which of the suggested courses of action logically follow(s) for pursuing.

Statement: Many political activists have decided to stage demonstrations and block traffic movement in the city during peak hours to protest against the steep rise in prices of essential commodities.

Courses of action:

(A) The Govt. should immediately ban all forms of agitations in the country.

(B) The police authority of the city should deploy additional forces all over the city to help traffic movement in the city.

(C) The state administration should carry out preventive arrests of the known criminals staying in the city.

To drill a 20 mm diameter hole in CI work piece at 450 rpm and 0.2 mm feed. The specific power is 0.03 kW - min/ cm³ and motor efficiency is 90%. Then the power of electric motor (in kW) for a drilling machine is___________.

If A is a 2 x 2 non-singular square matrix, then adj(adj A) is

An air-water vapour mixture is contained in a rigid closed vessel with a volume of 35 m³ at 1.5 bar, 120°C and Φ = 10%. The specific volume of water vapour (in m³/kg) in air is______.

(At 120°C, P_sat = 1.985 bar)

In inventory control theory, the order size that minimizes total inventory holding cost and ordering cost is known as

Which one of the following is correct for an ideal gas in a closed system?

A velocity field of a flow is given by V = (y − 1) i + (y − 2) j, where V is in m/s and x and y are in metres. What will be the equation of stream line passing through the point (5, 3)?

An adiabatic process for an ideal gas is represented on a PV diagram by

Consider the following statements:

1. A kinematic chain is the combination of kinematic pairs joined in such a way that the relative motion between them is completely constrained.

2. The degree of freedom of a kinematic pair is given by the number of independent coordinates required to completely specify the relative movement.

Which of the above statements is/are correct?

A dc servomotor is coupled to a lad screw which drives the table of a CNC machine tool. A digital encoder, mounted at the end of the screw emits 500 pulses per revolution. If the pitch is 5 mm/rev, and motor speed 600 rpm. Then the table speed (in m/min) is

The function x^1/x is decreasing if

System with mass 20 kg and equivalent stiffness of 2 kN/m is modified by attaching the viscous damper which is parallel with spring. Damping factor of system is 0.32. Modified system will have maximum magnification factor when frequency of exciting force is equal to k times of natural frequency of system. The value of k is_________ . (up to two decimal places)

Match List - I (Mechanical properties) with List - II (Related terms) and select the correct answer using the codes given below the list.

If |z₁| = |Z₂| = |Z₃| = |Z₄| and Z₁ + Z₂ + Z₃ + Z₄ = 0 then the points Z₁, Z₂, Z₃ and Z₄ in the argand plane are certainly not the vertices of a ________.

Consider the following statements:

1. The relative humidity of air does not change with temperature as long as specific humidity remains constant.

2. Dew-point temperature is the temperature at which air is cooled at constant volume.

3. Saturated air passing over a water surface does not cause a change of air temperature.

4. For saturated air, dry bulb, wet- bulb and dew point temperatures are identical.

Which of the above statements are correct?

Which one of the following functions is strictly bounded?

A sine bar is specified by

A copper bar of 60 mm diameter are to be turned over a length of 170 mm with a depth of cut of 1.5 mm feed of 0.2 mm/ rev at 230 rpm by HSS. If the tool life equation is VT^0.2f^0.3d^0.12 = 60, then the number of components to be turned regrinding the tool is

Given the value of the line integral along the straight line c from (0,0,0) to (1,1,1) is

For steam at P = 10 bar, h_f = 762 kJ/kg and h_g = 2778 kJ/kg when 100 kJ/kg heat is lost at constant pressure from steam at 10 bar and 0.8 dryness. The final dryness fraction will be

The steel tube (E = 200 GPa) shown in the figure is 5.0 m long. It has 100 mm outer diameter and 16 mm wall thickness. The critical load (in kN) of the tube is _____. (Answer up to the nearest integer)