List of practice Questions

A machine component is processed at 5 workstations sequentially. The cycle time (in seconds) for each workstation is given. In mass production, the number of components produced per hour (steady state) is \(\underline{\hspace{2cm}}\). [in integer] \[ \begin{array}{|c|c|} \hline \text{Workstation} & \text{Cycle time (sec)} \\ \hline \text{WS-1} & 85 \\ \text{WS-2} & 55 \\ \text{WS-3} & 90 \\ \text{WS-4} & 65 \\ \text{WS-5} & 70 \\ \hline \end{array} \]

If a matrix is squared, then

Consider the following ordinary differential equation: \[ 4 \frac{d^{2} y}{dx^{2}} - 4 \frac{dy}{dx} + y = 0. \] Given that \( c_{1} \) and \( c_{2} \) are constants, the general solution of the differential equation is

Match the types of layout with the types of production.\[\begin{array}{|c|c|c|} \hline \textbf{Type of layout} & & \textbf{Type of production} \\ \hline \text{P} & \text{Process layout} & \text{1 \; Job production} \\ \hline \hline \text{Q} & \text{Product layout} & \text{2 \; Batch production} \\ \hline \hline \text{R} & \text{Fixed position layout} & \text{3 \; Mass production} \\ \hline \end{array}\]

In an electro-discharge machining process, the discharge voltage is $V_b$. The energy dissipated per spark across the inter-electrode gap is proportional to

Match the codes used in CNC part programming with their functions.\[\begin{array}{c c | c c} \hline \textbf{Code} & & \textbf{Function} & \\ \text{P} & \text{G91} & \text{1} & \text{End of program} \\ \hline \text{Q} & \text{M02} & \text{2} & \text{Programming in incremental coordinates} \\ \hline \text{R} & \text{G32} & \text{3} & \text{Spindle stop} \\ \hline \text{S} & \text{M05} & \text{4} & \text{Thread cutting in turning} \\ \hline \end{array}\]

Which one of the following statements is TRUE?

The numerical integration of the function $y = 2x + 5$ is carried out between $x = 1$ and $x = 3$, by using ordinates at $x = 1, 2,$ and $3$. Which one of the following statements is TRUE?

Which one of the following metals has a face-centered cubic (FCC) structure?

If \( G \) denotes the shear modulus of an isotropic material, then the maximum possible value of Young's modulus of the material is

Match the casting methods with products.\[\begin{array}{|c|c|c|} \hline \textbf{Casting method} & & \textbf{Products} \\ \hline \text{P} & \text{Continuous casting} & \text{1 \; Thin and intricate shaped components} \\ \hline \hline \text{Q} & \text{Investment casting} & \text{2 \; Hollow axisymmetric parts (such as pipes)} \\ \hline \hline \text{R} & \text{Centrifugal casting} & \text{3 \; Slabs and strips} \\ \hline \end{array}\]

If $\mathbf{a}$, $\mathbf{b}$ and $\mathbf{c}$ are three vectors, the vector triple product $(\mathbf{a}\times\mathbf{b})\times\mathbf{c}$ is given by

Which of the options, when combined with block shown on top, will result in perfect 4x4x4 cube?

Shown in the box are the orthographic views of a 3D object. Which option represents that object?

Image below shows configurations of jars filled with water. Which option will work as an air filter?

An irregular solid is cut into seven pieces as shown. The pieces are neither rotated nor scaled, but are kept in a random sequence. Find the correct sequence to get the smooth form. The sequence should be written from left to right.

Five square pyramids are stacked as shown in the figure below with the bottom layer consisting of four pyramids in a 2 x 2 grid. If the bottom layer consists of pyramids in 6 x 7 grid, and they are stacked in a similar manner to its maximum height, how many pyramids will the formation contain?

Shown below are three views of the same solid. Count the number of edges.

Figure shows the plan of a one-way road passing next to a primary school. Which of the options can be the location(s) to set up a bus stop for the school bus in Indian context?

A folding fan shown in the image is made of bamboo and paper painted on one side. Which option is the closest representation of the same fan in the folded position? (dotted lines indicate the folds)

Biomimicry is the practice of looking to nature for inspiration to solve design problems. Shown below are plants and animals (top row) that have inspired the design of products (bottom row). Which of the options listed below correctly identifies the plant and/or animal with the product that it inspired?