ME GATE 2009 - Online Test
Q1. What are the upper and lower limits of the shaft represented by 60 f8?
Use the following data:
Diameter 60 lies in the diameter step of 50 -80mm.
Fundamental tolerance unit,
i = in μm = 0.45D1/3 + 0.001D, where D is the representative size in mm;
Tolerance value for IT8 = 25i. Fundaental deviation for ‘f’ shaft = -5.5D0.41
Answer : Option A
Explaination / Solution:
No Explaination.
Q2. A 20o full depth involute spur pinion of 4 mm module and 21 teeth is to transmit 15 kw at 960
rpm. Its face width is 25 mm
The tangential force transmitted (in N ) is
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. A 20o full depth involute spur pinion of 4 mm module and 21 teeth is to transmit 15 kw at 960 rpm. Its face width is 25 mm
The tangential force transmitted (in N ) is
Given that the tooth geometry factor is 0.32 and the combined effect of dynamic load and allied
factors intensifying the stress is 1.5; the minimum allowable stress (in MPa) for the gear material is
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. The expected time (te) of a PERT activity in terms of optimistic time (to), pessimistic time (tp) and
most likely time (tl)is given by
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. A company uses 2555 units of an item annually. Delivery lead time is 8 days. The recorder point
(in number of units) to achieve optimum inventory is
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. Six jobs arrived in a sequence as given below: 
Average flow time (in days) for the above jobs using Shortest Processing Time rule is
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. Consider the following PERT network:
The optimistic time, most likely time and pessimistic time of all the activities are given in the table
below.
The critical path duration of the network (in days) is
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. Consider the following PERT network:
The optimistic time, most likely time and pessimistic time of all the activities are given in the table below.
The standard deviation of the critical path is
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. For a matrix 
the transpose of the matrix is equal to the inverse of the matrix [M]T = [M]-1. The value of x is given by
the transpose of the matrix is equal to the inverse of the matrix [M]T = [M]-1. The value of x is given by
Answer : Option A
Explaination / Solution:
No Explaination.
Q10. The divergence of the vector field 
at a point (1,1,1) is equal to
at a point (1,1,1) is equal to
Answer : Option C
Explaination / Solution:
No Explaination.
