List of practice Questions

\( (20)^2 - \sqrt{324} = \)
The mass of a planet is \(\frac{1}{10}\)th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is :
A homogeneous azeotropic distillation process separates an azeotropic AB binary feed using a heavy entrainer, E, as shown in the figure. The loss of E in the two product streams is negligible so that E circulates around the process in a closed- circuit. For a distillation column with fully specified feed(s), given operating pressure, a single distillate stream and a single bottoms stream, the steady-state degrees of freedom equals 2. For the process in the figure with a fully specified AB feed stream and given column operating pressures, the steady-state degrees of freedom equals
homogeneous azeotropic distillation process
How many pairs of letters are there in the word ‘EFFECT’ which have as many letters between them in the word as in the alphabet?

14g of cyclopropane burnt completely in excess oxygen. The number of moles of water formed is:

Let \( \theta \) be the angle between two vectors \( \vec{A} \) and \( \vec{B} \). If \( \hat{a}_\perp \) is the unit vector perpendicular to \( \vec{A} \), then the direction of \( \vec{B} - \vec{B} \sin \theta \hat{a}_\perp \) is:
Given two force vectors:
\[ \vec{F}_1 = 2\hat{i} + 3\hat{j} - \hat{k}, \quad \vec{F}_2 = \hat{i} + \hat{j} + \hat{k} \] What is the magnitude of the resultant force?

With rapid digitalization, students have started depending on digital devices for entertainment. This has impacted their lives, both positively and negatively. Write an article with the help of the given cues and your own ideas, highlighting the advantages and disadvantages of using digital devices. You are Rohini/Rohit. 
 

There are five sentences marked as I, II, III, IV, and V. The position of I is fixed as the first sentence of the passage. Choose one of the four alternatives given below as the most logical sequence of the sentences in the passage.

The percentage error in the measurement of mass and velocity are 3% and 4% respectively. The percentage error in the measurement of kinetic energy is:

A → P is a first order reaction. The following graph is obtained for this reaction. (x-axis = time; y-axis = conc. of A). The instantaneous rate of the reaction at point C is
first order reaction
Clark's formula………
If \(\sqrt{2n} = 16\), then the value of \(n\) is
If the line \[ 2x + by + 5 = 0 \] forms an equilateral triangle with \[ ax^2 - 96bxy + ky^2 = 0, \] then \( a + 3k \) is: \
Who built 'Adhai Din Ka Jhonpra'?
An electron is projected from the right plate of set I directly towards its left plate. It just comes to rest at the plate. The speed with which it was projected is about:
(Take \( \frac{e}{m} = 1.76 \times 10^{11} \, C/kg} \))
$L$ is a lower triangular matrix with all Principal diagonal elements equal to 1 and $U$ is an upper triangular matrix such that \[ LU = \begin{bmatrix} 1 & 3 & 0 \\ 3 & 7 & 1 \\ 2 & 8 & 3 \end{bmatrix}, \] then the Trace of $L$ + Trace of $U$ =
For the matrix \[ \begin{bmatrix} 2 & 1 & 1 \\ 0 & 2 & 1 \\ 1 & 0 & 1 \end{bmatrix}, \] an Eigen vector among the following vectors is
What is the unit of transfer data from main memory to cache memory?
What is the postfix expression of $P + Q / R * (S - P)$?
Which one of the following is not necessarily a property of a group?
What is the minimal sum of products form of $F(A, B, C, D) = AB + \overline{A}BC + \overline{A}B\overline{C}D$?
In a communication network, 98% of messages are transmitted correctly with no error. If the random variable X denotes the number of messages transmitted with error, then the probability that at most two messages are transmitted with error out of 1000 messages sent, is
Which pair of UML diagrams are isomorphic?
For a machine to surpass all the letters of alphabets excluding vowels, how many states in DFA would be required?