Practice Test: Mechanical Engineering (ME)- 5 - Mechanical Engineering MCQ

Select the pair that best express relationship similar to that expressed in the pair.
Light : Glint

A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. Aft er A has
been working it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the
work?

Question 6 to 10 carry Two Marks each

Q.

The sufficient condition for matrix ‘A’ to be diagonalizable is

If x = y^a , y = z^b and z = x^c then abc = ?

Out of the four alternatives suggested select the one which is correct

T he value of X in the following figure is

The piechart shows the distribution of New York market share by volume of different computer companies in 2005.

Number of units sold in 2005 in New York = 1,500
Value of units sold in 2005 in New York = US$ 16,50,000

iⁱ is of the form, where 

Question 11 to 35 carry One Mark each

Q.

 Value of a is ____________

6 boys and 6 girls sit in a row randomly. The probability that all the six girls sit together is in the form 1/a. Value of a is ______________.

T he Laplace transformation of e^at cosh(bt) is

The value of  where R is the region in the first quadrant bounded by the curve y = x^2. y + x = 2 and x = 0.

A straight bar 500 mm long is 30 mm in diameter for the first 350 mm length and 20mm diameter for
the remaining length. If the bar is subjected to an axial pull of 20 kN find the extension of the bar take
E = 10⁵ N/mm²

If the suface tension at the soap air int erface is 0.088 N/m. Calculate the int ernal pressure in a soap bubble of 3 cm diameter _____________Pa.

What is the nature of this

The buckling load depends on

In a slab temperat ure profile is given by T = 100 – 50x and heat flux is 100 W/m². Find its conductivity ___________W/mK

Neutral flame is commonly used for the welding of

For a thermodynamic system to be in thermodynamic equilibrium which of the following can be non uniform
throughout the system

At triple point of water the number of independent properties required to fix the state of the system is/are

An increase in load at the free end of a cant ilever is likely to cause failure

A floating body displaces

T he relation between the number of links   and the number of binary joint s (j) for a kinematic chain
having constrained mot ion is given by  . If the left hand side of this equation is greater than
right hand side, then the chain is

In a V-belt drive, the belt makes cont act at

Single cylinder four stroke engine has brake power of 8 kW and brake mean effective pressure of 0.55 Mpa. What is the length of cylinder which is 1.2 times of bore diameter? (n = 3000 rpm)

Allowance is given to all vert ical faces of a pattern for their easy removal from sand without damaging the
mould

A piston cylinder device with a set of stops init ially at a pressure of 1MPa and tem perat ure of 400°C
contains 0.3 kg of water vapour stops corresponds to 60% of the initial volume. Now as the water vapour is
cooled keeping the pressure constant the compression work required will be. Take 'R' for water vapour as
0.4615 kJ/kgK. Consider water vapour as an ideal gas ______________ kJ.