List of top Industrial Engineering Questions asked in GATE PI

In a time study, the average time taken for packaging a product in a warehouse by a worker with 120% performance rating is observed as 9 minutes. Assuming an allowance of 10% of the standard time, the standard time (in minutes) for packaging is ______ . (Answer in integer)

The solidification time of a cube and a cylinder of the same material, produced through the same sand casting process, is found to be equal. Each side of the cube is \(a\), and the radius and the length of the cylinder are \(r\) and \(4r\), respectively. If the solidification time is governed by Chvorinov's equation, then the ratio \(\frac ra\) is

Consider the following linear programming problem with two decision variables \(x_1\) and \(x_2\). There are three constraints involving resources \(R_1, R_2\) and \(R_3\) as indicated.
Maximize \(Z = 6x_1+5x_2\)
Subject to
\(2x_1+5x_2\leq 40\)       \(R_1\)
\(2x_1 + x_2 \leq 22\)         \(R_2\)
\(x_1 + x_2 \leq 13 \)           \(R_3\)
\(X_1 \geq0, \ X_2 \geq 0\)
The optimal solution of the problem is: \(x_1 =9\)  and \(x_2=4\)
For which one of the following options, the shadow price of the resource(s) will have non-zero value(s)?

Match the configurations of the listed 3 degrees-of-freedom industrial robots with the type of joints.

Configuration		Type of joints
P	Cartesian	1	One prismatic and two rotary
Q	Cylindrical	2	Three rotary
R	Spherical	3	Two prismatic and one rotary
S	Articulated	4	Three prismatic

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)

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

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?

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

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

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?

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

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

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?

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