Mechanical Engineering
GATE ME topic:mechanical-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 161–170 of 1040. Imported answers require independent review unless marked reviewed.
Question 31
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The allowance provided to a pattern for easy withdrawal from a sand mold is
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The most suitable electrode material used for joining low alloy steels using Gas Metal Arc Welding (GMAW) process is
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The preparatory functions in Computer Numerical Controlled (CNC) machine programing are denoted by the alphabet
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A set of jobs
arrive at time
to a production line consisting of two workstations in series. Each job must be processed by both workstations in sequence (i.e., the first followed by the second). The process times (in minutes) for each job on each workstation in the production line are given below.Job | | | | | | |
|---|---|---|---|---|---|---|
Workstation 1 | 5 | 7 | 3 | 4 | 6 | 8 |
Workstation 2 | 4 | 6 | 6 | 8 | 5 | 7 |
The sequence in which the jobs must be processed by the production line if the total makespan of production is to be minimized is
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Open questionMEMCQ1 markNeeds review
A queueing system has one single server workstation that admits an infinitely long queue. The rate of arrival of jobs to the queue system follows the Poisson distribution with a mean of 5 jobs/hour. The service time of the server is exponentially distributed with a mean of 6 minutes. In steady state operation of the queue system, the probability that the server is not busy at any point in time is
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Open questionMEMCQ2 marksNeeds review
The matrix
(where
) has a negative eigenvalue if
is greater thanYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
In the pipe network shown in the figure, all pipes have the same cross-section and can be assumed to have the same friction factor. The pipes connecting points
,
, and
with point
have an equal length
. The pipe connecting points
and
has a length
. The pressures at the ends
,
, and
are equal. The flow rate in the pipe connecting
and
is
. Assume that the fluid flow is steady, incompressible, and the pressure losses at the pipe entrance and junction are negligible. Consider the following statements:I: The flow rate in pipe connecting
and
is
.II: The pressure difference between
and
is equal to the pressure difference between
and
.Which one of the following options is CORRECT?

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Open questionMEMCQ2 marksNeeds review
A company orders gears in conditions identical to those considered in the economic order quantity (EOQ) model in inventory control. The annual demand is 800 gears, the cost per order is 300 rupees, and the holding cost is 12 rupees per month per gear. The company uses an order size that is 25% more than the optimal order quantity determined by the EOQ model. The percentage change in the total cost of ordering and holding inventory from that associated with the optimal order quantity is
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At the current basic feasible solution (bfs)
(
), the simplex method yields the following form of a linear programming problem in standard form.
Here the objective function is written as a function of the non-basic variables. If the simplex method moves to the adjacent bfs
(
) that best improves the objective function, which of the following represents the objective function at
, assuming that the objective function is written in the same manner as above?Your answerChoose one option.
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Open questionMEMSQ2 marksNeeds review
Steady, compressible flow of air takes place through an adiabatic converging-diverging nozzle, as shown in the figure. For a particular value of pressure difference across the nozzle, a stationary normal shock wave forms in the diverging section of the nozzle. If
and
denote the flow conditions just upstream and downstream of the normal shock, respectively, which of the following statement(s) is/are TRUE? 
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