ME GATE 2014 - Online Test

Q1. Cutting tool is much harder than the workpiece. Yet the tool wears out during the tool-work interaction, because
Answer : Option C
Explaination / Solution:
No Explaination.


Q2. Consider the turbulent flow of a fluid through a circular pipe of diameter, D. Identify the correct pair of statements. 
I. The fluid is well-mixed 
II. The fluid is unmixed  
III. ReD < 2300 
IV. ReD > 2300  
Answer : Option D
Explaination / Solution:

ReD > 2300 means it is a turbulent flow. In turbulent flow, the fluid is well mixed. The fluid is unmixed, for a very-low Reynolds number laminar flow.  

Q3. The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both figure and table.

Answer : Option C
Explaination / Solution:
No Explaination.


Q4. The hot tearing in a metal casting is due to
Answer : Option C
Explaination / Solution:
No Explaination.


Q5. For a gas turbine power plant, identify the correct pair of statements. 
P. Smaller in size compared to steam power plant for same power output Starts quickly compared to steam power plant 
R. Works on the principle of Rankine cycle 
S. Good compatibility with solid fuel  
Answer : Option A
Explaination / Solution:

Steam power plants are bulky due to presence of boiler and condenser. Gas turbines are compact, as compressors and turbines are coupled on a common shaft. In steam power plants, boiler takes lot of time to get started, as compared to Gas Turbines.

Q6. A machine produces 0, 1 or 2 defective pieces in a day with associated probability of 1/6, 2/3 and 1/6, respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are
Answer : Option A
Explaination / Solution:

Let ‘x’ be no. of defective pieces. 


Q7. Consider the given project network, where numbers along various activities represent the normal time. The free float on activity 4-6 and the project duration, respectively, are
 
Answer : Option A
Explaination / Solution:
No Explaination.


Q8. Consider a simply supported beam of length, 50h, with a rectangular cross-section of depth, h, and width, 2h. The beam carries a vertical point load, P, at its mid-point. The ratio of the maximum shear stress to the maximum bending stress in the beam is
Answer : Option D
Explaination / Solution:

Given, b = 2h, d = h, l = 50h, force = p


Q9. A certain amount of an ideal gas is initially at a pressure P1 and temperature T1. First, it undergoes a constant pressure process 1-2 such that T2 = 3T1/4. Then, it undergoes a constant volume process 2-3 such that T3 = T1/2. The ratio of the final volume to the initial volume of the ideal gas is 
Answer : Option B
Explaination / Solution:

For (1-2)process : Cons tan t pressureprocess {P2 = P1}

For (2-3) process : Cons tan t Volume process{V3 = V2}


Q10. A cylindrical blind riser with diameter d and height h, is placed on the top of the mold cavity of a closed type sand mold as shown in the figure. If the riser is of constant volume, then the rate of solidification in the riser is the least when the ratio h/d is 


Answer : Option A
Explaination / Solution: