ME GATE 2015 PAPER 01 - Online Test
Q1. A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20
MPa; τxy = 40MPa. If the shear strength of the material is 100 MPa, the factor of safety as
per Tresca‟s maximum shear stress theory is
Answer : Option B
Explaination / Solution:
Q2. For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R
are respectively
Answer : Option C
Explaination / Solution:
Q3. A pinion with radius r1, and inertia I1 is driving a gear with radius r2 and inertia I2. Torque τ1 is applied on pinion. The following are free body diagrams of pinion and gear showing
important forces (F1 and F2) of interaction. Which of the following relations hold true?
Answer : Option D
Explaination / Solution:
F1 = F2 [Vertical equilibrium]
For Gear 1 For Gear 2
Q4. In the assembly shown below, the part dimensions are:
L1 = 22.0±0.01mm,
L2 = L3 = 10.0±0.005mm.
Assuming the normal distribution of part dimensions, the dimension L4 in mm for assembly
condition would be:
Answer : Option D
Explaination / Solution:
Since all dimensions have bilateral tolerances
Tolerance is calculated assuming L4 to be sink and tolerance of sink will be cumulative sum
of all tolerances
Q5. Choose the appropriate word/phrase, out of the four options given below, to complete the
following sentence:
Dhoni, as well as the other team members of Indian team, _____ present on the occasion.
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. Ram and Ramesh appeared in an interview for two vacancies in the same department. The
probability of Ram‟s selection is 1/6 and that of Ramesh is 1/8. What is the probability that
only one of them will be selected?
Answer : Option B
Explaination / Solution:
P (Ram) = 1/6; p (Ramesh) = 1/8
Q7. An electric bus has onboard instruments that report the total electricity consumed since the
start of the trip as well as the total distance covered. During a single day of operation, the bus
travels on stretches M, N, O and P, in that order. The cumulative distances travelled and the
corresponding electricity consumption are shown in the table below.
The stretch where the electricity consumption per km is minimum is
Answer : Option B
Explaination / Solution:
M = 12/20 = 6
N = 25/45 = 555
O = 45/75 = 6
P = 57/200 = 57
Q8. In the following sentence certain parts are underlined and marked P, Q and R. One of the
parts may contain certain error or may not be acceptable in standard written communication.
Select the part containing an error. Choose D as your Answer: if there is no error.
The student corrected
all the errors that the instruct marked on the answer book
P Q R
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. A mobile phone has a small motor with an eccentric mass used for vibrator mode. The
location of the eccentric mass on motor with respect to center of gravity (CG) of the mobile
and the rest of the dimensions of the mobile phone are shown. The mobile is kept on a flat
horizontal surface.
Given in addition that the eccentric mass = 2 grams, eccentricty = 2.19 mm, mass of the
mobile = 90 grams, g = 9.81 m/s2. Uniform speed of the motor in RPM for which the mobile
will get just lifted off the ground at the end Q is approximately
Answer : Option B
Explaination / Solution:
When lifted from ground at Q
Reaction = 0
∴ taking moments about 'p' and equating to 0
= 3500 rpm
Q10. Following data refers to the activities of a project, where, node 1 refers to the start and node 5
refers to the end of the project
The critical path (CP) in the network is
Answer : Option B
Explaination / Solution:
Critical path-1-4-3-5
Time taken = 8 days
