List of practice Questions

Given below are two statements : Statement I : The classic triad of congenital defects in “Congenital Rubella Syndrome” are deafness, cardiac malformations and cataracts. Statement II : The Rubella vaccine should be given to every pregnant woman during early pregnancy. In the light of the above statements, choose the most appropriate answer from the options given below :

\( (20)^2 - \sqrt{324} = \)

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

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?

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

Clark's formula………

If the line \[ 2x + by + 5 = 0 \] forms an equilateral triangle with \[ ax^2 - 96bxy + ky^2 = 0, \] then \( a + 3k \) is: \

$L$ 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?

What is the chromatic number of the complete graph $K_n$?