List of top Questions asked in GATE Production and Industrial Engineering

A project has six activities and the precedence relationship among them is shown in the table.

Activity	Precedent activities
A	None
B	None
C	None
D	A, B
E	B,C
F	A, B

The minimum number of dummy activities needed to draw an activity-on-arrow (AOA) representation of the project network is ___ .

Choose the item(s) which is/are required to make an eccentric hole on a disc, as shown, using a lathe.

In the iron-carbon equilibrium phase diagram, the temperature and composition of the eutectoid point are 727 °C and 0.77 weight % carbon, respectively. If a steel specimen with 1.2 weight % carbon is cooled from 1000 °C to the room temperature, then the fraction of pro-eutectoid cementite phase in the steel is _____ . (Rounded off to 2 decimal places)

In the truss shown in the figure, member AC is an inextensible string, other members are rigid, and ABCD is a square with each side of length a. The maximum value of force F (in kN) for which the truss will remain in static equilibrium is _____ . (Rounded off to 2 decimal places)

For polymers, match each process with the most suitable application listed.

Process		Application
P	Extrusion	1	Producing complex parts with close tolerance
Q	Injection molding	2	Producing thermosetting plastic components
R	Blow molding	3	Producing long uniform sections
S	Compression molding	4	Producing hollow shapes

A blank of 100 mm diameter is to be cut out of a 2 mm thick sheet through blanking operation. If the radial clearance between the punch and die is 6% of the sheet thickness then the diameter (in mm) of the punch is _____ . (Rounded off to 2 decimal places)

If \(A=\begin{bmatrix} a & b\\[0.3em] c & -a \\[0.3em] \end{bmatrix}\)is a matrix such that \(A^2=I\), where \(I\) is an identity matrix, then which of the following is TRUE?

If \(\lim\limits_{x \to1}(\frac {x^2-2ax+b}{x-1})=8\)
then \((a-b)\) is _____ . (Answer in integer)

An offset slider-crank mechanism is shown in the figure. If the length l = 10 cm, then the stroke length (in cm) of the slider is _____ . (Rounded off to 1 decimal place)

If \(X\) is a continuous random variable with the probability density function
\(f(x) =   \begin{cases}     \frac K4      & ; 0\leq x \leq 1\\     0 & ; \text{otherwise}    \end{cases}\)
Then the value of \(K\) is _____ . (Answer in integer)

For a mild steel specimen subjected to uniaxial tensile load, which of the following is/are TRUE?

Which of the following areas is/are supply chain decision(s)?

Which among the following is/are TRUE for friction stir welding (FSW) process?

In a complex function
\(f(x, y) = u(x, y) + i v(x, y),\)
\(i\) is the imaginary unit, and \(x, y, u(x, y)\) and \(v(x, y)\) are real.
If \(f(x, y)\) is analytic then which of the following equations is/are TRUE?

Which one of the following is not true about Total Productive Maintenance (TPM)?

Which one of the following methods requires the least amount of data for forecasting?

The following layout of four departments P, Q, R and S is provided as input to CRAFT (Computerized Relative Allocation of Facilities Technique). Which one of the following department pairs cannot be considered for exchange in CRAFT?

If work sampling is carried out using a large number of observations, then the required sample size is estimated using

Which one of the following THERBLIGS does not advance the progress of the work and can be eliminated by applying the principles of motion economy?

Which of the following concepts is not closely inter-related with INTERCHANGEABILITY in the context of product design?

Which of the following is NOT an assumption of a linear programming problem?

In a single server Markovian queuing system, if the customers arrive following the Poisson distribution, then the inter-arrival time follows

In the Taylor series expansion of sin z around \(z = 0\), the coefficient of the term \(z^3\) is

A thin copper wire carries electric current and is insulated by putting a sleeve, of thickness t, over it. In steady state conditions, the rate of heat loss from the insulated wire per unit length is Q. Which of the following is TRUE?

Production and Industrial Engineering (PI) Match each of the listed defects in deep drawing cup with the corresponding reason in the table.

Defect in deep drawing cup		Reason
P	Orange peel on the surface of cup	1	No blank holding force
Q	Wrinkling at the flange of cup	2	Very small corner radius of the punch
R	Tearing at the bottom corner of cup	3	Large grain size in the blank material
S	Earring at the top edge of the cup	4	Anisotropy of the blank material