List of practice Questions

A pair of spur gears is required to maintain a velocity ratio of 1:2. The module of the gears is 10 mm and the addendum is 10 mm. If the operating pressure angle is 15°, the minimum number of teeth required on the pinion to ensure NO interference/undercutting is (answer in integer).

An offset slider-crank mechanism is shown in the figure below. The length of the stroke of the slider is ____________ mm (rounded off to nearest integer).}

Two plates of thickness 10 mm each are to be joined by a transverse fillet weld on one side and the resulting structure is loaded as shown in the figure below. If the ultimate tensile strength of the weld material is 150 MPa and the factor of safety to be used is 3, the minimum length of the weld required to ensure that the weld does NOT fail is _____________ mm (rounded off to 2 decimal places).}

Two metal parts (a cylinder and a cube) of same volume are cast under identical conditions. The diameter of the cylinder is equal to its height. The ratio of the solidification time of the cube to that of the cylinder is _________ (rounded off to 2 decimal places).
Assume that solidification time follows Chvorinov’s rule with an exponent of 2.

Cylindrical workpieces of diameter 60 mm and length 400 mm are machined on a lathe at a cutting speed of 25 m/min and a feed of 0.2 mm/rev. The Taylor’s tool life parameters $C$ and $n$ for this setup are 75 and 0.25, respectively. The tool changing time is 3 minutes. With a labor and overhead cost of \rupee5 per minute, the tool changing cost per piece is \rupee_________ (rounded off to 2 decimal places).

A company uses 3000 units of a part annually. The units are priced as given in the table below. It costs rupee 150 to place an order. Carrying costs are 40 percent of the purchase price per unit on an annual basis. The minimum total annual cost is rupee ___________ (rounded off to 1 decimal place).}

A project involves eight activities with the precedence relationship and duration as shown in the table below. The slack for the activity D ____________ hours (answer in integer).

Choose the most appropriate word to complete the analogy:
Courage : Bravery :: Yearning :

When does the worst case of binary search occur?

Suppose that insertion sort is applied to the array $[1,2,3,5,7,9,11,x,15,13]$ and it takes exactly 2 swaps to sort the array. Select all possible values of $ x $.

Given the lists: \[ A = [1,2,3], \quad B = [4,5,6] \] Which of the following statements will result in \[ A = [1,2,3,4,5,6]? \]

Which of the following data structures supports binary search in $ O(\log n) $ time complexity?

Given the relation: \[ R = \{A, B, C, D, E, F, G\} \] With the following functional dependencies (FDs): \[ A \rightarrow BCEF, \quad E \rightarrow DG, \quad BC \rightarrow A \] Which of the following statements is correct?

Given the table facts: \[ \text{facts (D1, D2, val)} \] with the following data:

Consider the following SQL query:

What is the total number of rows produced?

Consider the following algorithm:

What will be the output (O/P) of this algorithm?

Given the equation: $$ 3^{x^2} = 27 \times 9^x $$ Find the value of: $$ \frac{2^{x^2}}{(2^x)^2} $$

Consider the following graph with heuristic values: Which of the following represents the correct order of node expansion using the A* search algorithm?

Consider the following sets: \[ A = \{"this", "that"\}, \quad B = \{"that", "other"\}, \quad C = \{"other", "this"\} \]

Which of the following sets remain non-empty at the end?

Consider the given graph and shortest paths: The shortest paths given are: \[ a - b - c - d, \quad e - f - g - h, \quad a - f - c - h \] Which of the following cannot be an edge in the original graph?

Consider the following database schema: \[ \text{Person (aadhar CHAR(12) PK, name VARCHAR(32))} \] \[ \text{Customer (name VARCHAR(32), email VARCHAR(32) PK, phone CHAR, aadhar CHAR(12) FK(aadhar))} \] Which of the following statements is/are correct?

Courage : Bravery :: Yearning :
Select the most appropriate option to complete the analogy.

We ____________ tennis in the lawn when it suddenly started to rain.
Select the most appropriate option to complete the above sentence.

A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with $ U \leq 4 $ is:

In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of $ P $, $ Q $, and $ R $?

A rectangle has a length $L$ and a width $W$, where $L > W$. If the width, $W$, is increased by 10%, which one of the following statements is correct for all values of $L$ and $W$?
Select the most appropriate option to complete the above sentence.