List of top Questions asked in GATE PI

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

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

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?

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

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

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?

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?

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?

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?

A uniform cantilever beam of length L and flexural rigidity EI is loaded by a force F as shown in the figure. Assuming that the Euler-Bernoulli beam theory is applicable here, the magnitude of the static deflection at the free end of the beam is

A vector field is given as \(F(x, y) = (100x + 100y) i + (−50x + 200y) j\), where \(i\) and \(j\) are the unit vectors along the \(x\) and \(y\) axes in the Cartesian frame, respectively. Then the value of
\(∮F(x, y). dl\)
where \(dl = dx i + dy j\) is an elemental path taken over an anticlockwise circular contour \(C\) of radius \(r = 2\) is

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

To create 12 divisions on a disc by using simple indexing and dividing head on a horizontal milling machine, choose the correct option for the rotation of the crank pin.

Which one of the following pure metals has the hexagonal close packed (HCP) crystal structure at room temperature?