ME GATE 2011 - Online Test
Q1. A 1 kg block is resting on a surface with coefficient of friction µ = 0.1. A force of
0.8N is applied to the block as shown in figure. The friction force is
Answer : Option B
Explaination / Solution:
Limiting friction force between the block and the surface is 0.98N. But the
applied force is 0.8N which is less than the limiting friction force. Therefore the
friction force for the given case is 0.8N.
Q2. A single–point cutting tool with 12o rake angle is used to machine a steel work–
piece. The depth of cut, i.e. uncut thickness is 0.81mm. The chip thickness under
orthogonal machining condition is 1.8mm. The shear angle is approximately
Answer : Option B
Explaination / Solution:
Relation between shear angle (φ), chip thickness ratio (r) and rake angle (α) is given by
Q3. A triangular–shaped cantilever beam of uniform–thickness is shown in the figure.
The Young’s modulus of the material of the beam is E. A concentrated load P is
applied at the free end of the beam.
The area moment of inertia about the neutral axis of a cross-section at a distance
x measured from the free end is
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. A triangular–shaped cantilever beam of uniform–thickness is shown in the figure. The Young’s modulus of the material of the beam is E. A concentrated load P is applied at the free end of the beam.
The maximum deflection of the beam is
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. Choose the word from the options given below that is most nearly opposite in
meaning to the given word: Amalgamate
Answer : Option B
Explaination / Solution:
Amalgamate means combine or unite to form one organization or structure. So
the best option here is split. Separate on the other hand, although a close
synonym, it is too general to be the best antonym in the given question while
Merge is the synonym; Collect is not related.
Q6. Which of the following options is the closest in the meaning to the word below:
Inexplicable
Answer : Option A
Explaination / Solution:
Inexplicable means not explicable; that cannot be explained, understood, or
accounted for. So the best synonym here is incomprehensible.
Q7. Choose the most appropriate word(s) from the options given below to complete
the following sentence.
I contemplated________Singapore for my vacation but decided against
it.
Answer : Option C
Explaination / Solution:
Contemplate is a transitive verb and hence is followed by a gerund Hence the
correct usage of contemplate is verb+ ing form.
Q8. Choose the most appropriate word from the options given below to complete the
following sentence.
If you are trying to make a strong impression on your audience, you
cannot do so by being understated, tentative or_____________.
Answer : Option B
Explaination / Solution:
The tone of the sentence clearly indicates a word that is similar to understated is
needed for the blank. Alternatively, the word should be antonym of strong (fail to
make strong impression). Therefore, the best choice is restrained which means
controlled/reserved/timid.
Q9. Cars arrive at a service station according to Poisson’s distribution with a mean
rate of 5 per hour. The service time per car is exponential with a mean of
10minutes. At steady state, the average waiting time in the queue is
Answer : Option D
Explaination / Solution:
Q10. One unit of product P1 requires 3 kg of resource R1 and 1kg of resource R2 . One
unit of product P2 requires 2kg of resource R1and 2kg of resource R2. The profits
per unit by selling product P1 and P2 are Rs.2000 and Rs.3000 respectively. The
manufacturer has 90kg of resource R1 and 100kg of resource R2.
The unit worth of resource R2 i.e., dual price of resource R2 in Rs. Per kg is
Answer : Option A
Explaination / Solution:
Because the constraint on resource 2 has no effect on the feasible region.
