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Computer Science and IT Engineering
List of top Computer Science and IT Engineering Questions
The value of the definite integral
\(\displaystyle \int_{-3}^{3}\int_{-2}^{2}\int_{-1}^{1}\big(4x^{2}y - z^{3}\big)\,dz\,dy\,dx\)
is ________. (Rounded off to the nearest integer)
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
Let \[ f(x) = x^3 + 15x^2 - 33x - 36 \] be a real-valued function. Which of the following statements is/are TRUE?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
Let $f$ and $g$ be functions of natural numbers given by $f(n)=n$ and $g(n)=n^2$. Which of the following statements is/are TRUE?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
Which of the following statements is/are INCORRECT about the OSPF (Open Shortest Path First) routing protocol used in the Internet?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Computer Networks
Which one or more of the following need to be saved on a context switch from one thread (T1) of a process to another thread (T2) of the same process?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Operating Systems
Which one or more of the following options guarantee that a computer system will transition from user mode to kernel mode?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Operating Systems
Which one or more of the following CPU scheduling algorithms can potentially cause starvation?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Operating Systems
Which of the following statements is/are CORRECT?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
Geetha has a conjecture about integers, of the form
\[ \forall x \big(P(x) \Rightarrow \exists y \, Q(x,y)\big) \]
where \(P\) is a statement about integers and \(Q\) is a statement about pairs of integers. Which of the following option(s) would
imply
Geetha's conjecture?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
An algorithm has to store several keys generated by an adversary in a hash table. The adversary is malicious who tries to maximize the number of collisions. Let $k$ be the number of keys, $m$ be the number of slots in the hash table, and $k>m$. Which one of the following is the best hashing strategy to counteract the adversary?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Programming and Data Structures
Which one of the options given below refers to the degree (or arity) of a relation in relational database systems?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Database Management Systems
Suppose two hosts are connected by a point-to-point link and they are configured to use Stop-and-Wait protocol for reliable data transfer. Identify in which one of the following scenarios, the utilization of the link is the lowest.
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
Which one of the following sequences, when stored in an array at locations \(A[1], \ldots, A[10]\), forms a max-heap?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Programming and Data Structures
Consider the following statements regarding the front-end and back-end of a compiler.
S1:
The front-end includes phases that are independent of the target hardware.
S2:
The back-end includes phases that are specific to the target hardware.
S3:
The back-end includes phases that are specific to the programming language used in the source code.
Identify the CORRECT option.
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Compiler Design
The country of Zombieland is in distress since more than 75% of its working population is suffering from serious health issues. Studies conducted by competent health experts concluded that a complete lack of physical exercise among its working population was one of the leading causes of their health issues. As one of the measures to address the problem, the Government of Zombieland has decided to provide monetary incentives to those who ride bicycles to work.
Based only on the information provided above, which one of the following statements can be logically inferred with certainty?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
Consider two functions of time $(t)$, \[ f(t) = 0.01t^2, g(t) = 4t \] where $0<t<\infty$.
Now consider the following two statements:
(i) For some $t>0$, $g(t)>f(t)$.
(ii) There exists a $T$, such that $f(t)>g(t)$ for all $t>T$.
Which one of the following options is TRUE?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
f(x) and g(y) are functions of x and y, respectively, and \( f(x) = g(y) \) for all real values of x and y. Which one of the following options is necessarily TRUE for all x and y?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
A series of natural numbers \(F_1, F_2, F_3, F_4, F_5, F_6, F_7, \ldots\) obeys
\[ F_{n+1} = F_n + F_{n-1}, \text{for all integers } n \geq 2. \] If \(F_6 = 37\) and \(F_7 = 60\), then what is \(F_1\)?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers.
Given this information, which one of the following statements can be inferred with certainty?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?
GATE CS - 2023
GATE CS
Computer Science and IT Engineering
Engineering Mathematics
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