List of practice Questions

Hyperspectral sensor consists of

Part of the solar radiation incident on the water surface gets refracted as per

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?

In the given text, the blanks are numbered (i)—(iv). Select the best match for all the blanks.
Prof. P \(\underline{(i)}\) merely a man who narrated funny stories. moments he was capable of self-deprecating humor. \(\underline{(ii)}\) in his blackest 
Prof. Q \(\)\(\underline{(i)}\) a man who hardly narrated funny stories. \(\underline{(iv)}\) in his blackest moments was he able to find humor.

A planar rectangular paper has two V-shaped pieces attached as shown below.

This piece of paper is folded to make the following closed three-dimensional object.

The number of folds required to form the above object is

Which of the following options best describes the "uncertainty" in a measurement?

A distance was measured as 200 m ± 0.1 m. The relative precision of this measurement is

The values of function \(y(x)\) at discrete values of \(x\) are given in the table. The value of \(∫_0^4y(x)dx\), using Trapezoidal rule is _____ . (Rounded off to 1 decimal place)

x	0	1	2	3	4
y(x)	1	3	6	9	12

If ‘→' denotes increasing order of intensity, then the meaning of the words [smile → giggle → laugh] is analogous to [disapprove → ________→ chide]. Which one of the given options is appropriate to fill the blank?

In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21,...

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)

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

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)?

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

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

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 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)

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?

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)

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

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?

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)