Prepare for ISRO ICRB examinations with verified solutions covering Algorithms, Theory of Computation, Compiler Design, Computer Architecture, OS, Discrete Mathematics, and Computer Networks.
Marking scheme: +3.00 positive, -0.75 negative (ICRB Standard).
If A, B, C, are any three matrices, then $A^{\prime}+B^{\prime}+C^{\prime}$ is equal to
The value of the determinant $\begin{vmatrix} 265 & 240 & 219 \\ 240 & 225 & 198 \\ 219 & 198 & 181 \end{vmatrix}$ is
Let $f(x)$ be the continuous probability density function of a random variable $x$. The probability that $a < x \le b$ is
If the mean of a normal frequency distribution of 1000 items is 25 and its standard deviation is 2.5, then its maximum ordinate is
If the pdf of a Poisson distribution is given by $f(x)=\frac{e^{-2}2^{x}}{x!},$ then its mean is
Activities which ensure that the software that has been built, is traceable to customer requirement is covered as part of
A Testing method, which is normally used as the acceptance test for a software system, is
The 'command' used to change contents of one database using the contents of another database by linking them on a common key field is called
A locked database file can be
Which of the following contains complete record of all activity that affected the contents of a database during a certain period of time?
Purpose of 'Foreign Key' in a table is to ensure
Which of the following scenarios may lead to an irrecoverable error in a database system?
Use of IPSEC in tunnel mode results in
Special software to create a job queue is called a
Process is
When a process is rolled back as a result of deadlock the difficulty which arises is
On receiving an interrupt from an I/O device, the CPU
Compared to CISC processors, RISC processors contain
Which of the following is/are true of the auto increment addressing mode?
1. It is useful in creating self relocating code
2. If it is included in an instruction set architecture, then an additional ALU is required for effective address calculation
3. The amount of increment depends on the size of the data item accessed
Given that the following matrix is singular:
$$\begin{pmatrix} 4 & 2x & 0 \\ 4 & 0 & 2 \\ 12 & 6 & 0 \end{pmatrix}$$The value of $x$ is:
Given that the Eigen values of matrix $A_{3 \times 3}$ are $1$, $3$, and $5$. The Eigen values of $A^3$ are:
$$\frac{d}{dx} \left( x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \dots \right)$$
is equal to:
Value of the integral:
$$\int_{-\infty}^{\infty} \delta(t) \sin\left(\frac{t}{\sqrt{2}}\right) dt$$is:
Which of the following statements is true?
If a random communication signal has PDF given by $P(X) = 2a e^{-b|x|}$ for all $x$, $-\infty < x < +\infty$, then: