ME GATE 2017 PAPER 02 - Online Test
Q1. The principal stresses at a point in a critical section of a machine component are σ1 = 60MPa, σ2 = 5MPa and σ3 = -40 MPa. For the material of the component, the tensile
yield strength is σy = 200 MPa.
According to the maximum shear stress theory, the factor of
safety is
Answer : Option B
Explaination / Solution:
Q2. If you choose plan P, you will have to _______ plan Q, as these two are mutually _________.
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. For a single server with Poisson arrival and exponential service time, the arrival rate is 12 per
hour. Which one of the following service rates will provide a steady state finite queue length?
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. A sample of 15 data is a follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of
the data is
Answer : Option C
Explaination / Solution:
We know that mode is the value of the data which occurred most of
17 is mode
Q5. A product made in two factories p and Q, is transported to two destinations, R and S. The per
unit costs of transportation (in Rupees) from factories to destinations are as per the following
matrix:
Factory P produces 7 units and factory Q produces 9 units of the product. Each destination
requires 8 units. If the north-west corner method provides the total transportation cost as X (in
Rupees) and the optimized (the minimum) total transportation cost Y (in Rupees), then (X-Y),
in Rupees, is
Answer : Option C
Explaination / Solution:
Q6. P looks at Q while Q looks at R. P is married, R is not. The number of people in which a
married person is looking at an unmarried person is
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. If a and b are integers and a – b is even, which of the following must always be even?
Answer : Option D
Explaination / Solution:
According to the given relation of a–b = even, there is a possibility of odd-odd (or) even-even
is equal to even. From the options, Option (D) is correct. Since, odd × odd–odd (or) even ×
even–even → is always even number.
Q8. A couple has 2 children. The probability that both children are boys if the older one is a boy is
Answer : Option C
Explaination / Solution:
Probability = No.of Favourablecases/Total No.of Possible cases
The probability that both children are boys if the order one is a boy = 1/2
Q9. There are 4 women P, Q, R, S, and 5 men V, W, X, Y, Z in a group. We are required to form
pairs each consisting of one woman and one man. P is not to be paired with Z, and Y must
necessarily be paired with someone. In how many ways can 4 such pairs be formed?
Answer : Option C
Explaination / Solution:
No Explaination.
Q10. In the graph below, the concentration of a particular pollutant in a lake is plotted over
(alternate) days of a month in winter (average temperature 10°C) and a month in summer
(average temperature 30°C).
Consider the following statements based on the data shown above:
(i) Over the given months, the difference between the maximum and the minimum pollutant
concentrations is the same in both winter and summer.
(ii) There are at last four days in the summer month such that the pollutant concentrations on
those days are within 1 ppm of the pollutant concentrations on the corresponding days in
the winter month.
Which one of the following options is correct?
Answer : Option B
Explaination / Solution:
The difference between the maximum and the minimum pollutant concentrations
(i) in winter = 8-0=8 ppm ,
(ii) in summer = 10.5-1.5=9 ppm
(i) is false & (ii) is correct from the graph.
