# Recent activity by Peeyush Pandey

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The value of $\int^{\pi/4} _0 x \cos(x^2) dx$ correct to three decimal places (assuming that $\pi = 3.14$) is ____
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The Boolean function in sum of products form where K-map is given below (figure) is _______
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why c) option wrong?
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How to solve it(clear explanation please)
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Let $T$ be a tree with $10$ vertices. The sum of the degrees of all the vertices in $T$ is ________
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A max-heap is a heap where the value of each parent is greater than or equal to the value of its children. Which of the following is a max-heap?
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Let $A$ and $B$ be any two arbitrary events, then, which one of the following is TRUE? $P (A \cap B) = P(A)P(B)$ $P (A \cup B) = P(A)+P(B)$ $P (A \mid B) = P(A \cap B)P(B)$ $P (A \cup B) \leq P(A) + P(B)$
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$\lim_{x\rightarrow \frac{\pi }{2}}cosx^{cosx}$ can we straight away say $0^{0}=0$ ?
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The elements $42, 25, 30, 40, 22, 35, 26$ are inserted one by one in the given order into a max-heap. The resultant max-heap is sorted in an array implementation as $<42, 40, 35, 25, 22, 30, 26>$ $<42, 35, 40, 22, 25, 30, 26>$ $<42, 40, 35, 25, 22, 26, 30>$ $<42, 35, 40, 22, 25, 26, 30>$
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In the network 202.10.4.230/27 the last but one valid IP which can be assigned to a host from the last subnet is ___________.
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Which of the following does not interrupt a running process? A device Timer Scheduler process Power failure
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​​​​​​​A host is connected to a department network which is part of a university network. The university network, in turn, is part of the Internet. The largest network, in which the Ethernet address of the host is unique, is the Internet the university network the department network the subnet to which the host belongs
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​​​​​​​Dirty bit is used to show the wrong page page with corrupted data page with low frequency occurrence page that is modified after being loaded into cache memory
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​​​​​​​Suppose $P, Q$ and $R$ are co-operating processes satisfying Mutual Exclusion condition. Then, if the process $Q$ is executing in its critical section then Both $‘P’$ and $‘R’$ execute in critical section Neither $‘P’$ nor $‘R’$ executes in their critical section $‘P’$ executes in critical section $‘R’$ executes in critical section
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​​​​​​​______ system call creates new process in Unix. create create new fork fork new
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In computers, subtraction is generally carried out by $9$’s complement $1$’s complement $10$’s complement $2$’s complement
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​​​​​​​Suppose a system has $12$ instances of some resource with $n$ processes competing for that resource. Each process may require $4$ instances of the resources. The maximum value of $n$ for which the system never enters into deadlock is $3$ $4$ $5$ $6$
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Consider a disk pack with $32$ surfaces, $64$ tracks and $512$ sectors per pack. $256$ bytes of data are stored in a bit serial manner in a sector. The number of bits required to specify a particular sector in the disk is $18$ $19$ $20$ $22$
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The boolean expression $\overline{A} \cdot B + A \cdot \overline{B}+ A \cdot B$ is equivalenet to $\overline{A} \cdot B$ $\overline{A+B}$ $A \cdot B$ $A+B$
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A survey has been conducted on methods of commuter travel. Each respondent was asked to check Bus, Train and Automobile as a major method of travelling to work. More than one answer was permitted. The results reported were as follows : Bus $30$ people; Train $35$ people; ... $20$ people; and all the three methods $5$ people. How many people completed the survey form? $120$ $165$ $160$ $115$
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Match List-I with List-II and choose the correct answer from the code given below : ... iii), (d)-(iv) (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i) (a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)
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​​​​​​In mathematical logic, which of the following are statements? There will be snow in January. What is the time now? Today is Sunday. You must study Discrete mathematics Choose the correct answer from the code given below: i and iii i and ii ii and iv iii and iv
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Let G be a directed graph whose vertex set contains numbers from 1 to 1024. There is an edge from a vertex i to a vertex j iff either j=i+1 or j=3i. The minimum number of edges in the path from vertex 1 to vertex 100 is------- # answer is 7
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In a file allocation system, which of the following allocation scheme(s) can be used if no external fragmentation is allowed ? Contiguous Linked Indexed 1 and 3 only 2 only 3 only 2 and 3 only
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From the following instance of a relation schema $R(A,B,C)$ ... $B$ does not functionally determine $C$ $B$ does not functionally determine $C$ $A$ does not functionally determine $B$ and $B$ does not functionally determine $C$
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How to solve this question?
The stage delays in a $4$-stage pipeline are $800, 500, 400$ and $300$ picoseconds. The first stage (with delay $800$ picoseconds) is replaced with a functionality equivalent design involving two stages with respective delays $600$ and $350$ picoseconds. The throughput increase of the pipeline is ___________ percent.
Let $G$ be a graph of order $n$ in which every vertex has degree equal to $d$. How large must $d$ be in order to guarantee that $G$ is connected? $\frac{n}{2}$ $\lceil (n-1)/2 \rceil$ $\lfloor (n+1)/2 \rfloor$ $(n-1)/2$
$\begin{bmatrix} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{bmatrix}$ For the above given matrix $A,$ $A^3 -7A^2 +10A =$ $5I+A$ $5I-A$ $A-5I$ $6I$