List of top Questions asked in GATE PI

Which of the following statement(s) is/are TRUE for a given acceptance sampling plan?

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

Seven cards numbered 1 to 7 are placed in a box. After thoroughly mixing all the cards, one card is drawn at random.
If it is known that the number on the card drawn is odd, then the probability that the number on the card drawn is greater than 4 is _____ %. (Answer in integer)

In a forming operation, the plastic deformation of a steel specimen starts under plane stress condition, where the principal stresses are \(σ_1=200\ Mpa\) and \(σ_2 = 100\ Mpa\). If the steel specimen follows von-Mises yield criterion, then the uniaxial tensile yield strength (in Mpa) of this steel material is ____ . (Rounded off to 1 decimal place)

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

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?

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)

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

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

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

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)

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 methods requires the least amount of data for forecasting?

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

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

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?