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Recent questions tagged gatecse-2014-set3
37
votes
7
answers
1
GATE CSE 2014 Set 3 | Question: 55
Let $\oplus$ denote the exclusive OR (XOR) operation. Let '$1$' and '$0$' denote the binary constants. Consider the following Boolean expression for $F$ over two variables $P$ and $Q$ ... $F$ is $P+Q$ $\overline{P+Q}$ $P \oplus Q$ $\overline {P \oplus Q}$
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in
Digital Logic
Sep 28, 2014
by
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7.8k
views
gatecse-2014-set3
digital-logic
normal
boolean-algebra
35
votes
7
answers
2
GATE CSE 2014 Set 3 | Question: 54
Consider the following relational schema: employee (empId,empName,empDept) customer (custId,custName,salesRepId,rating) salesRepId is a foreign key referring to empId of the employee relation. Assume that each employee makes a sale to at least one customer ... having a 'GOOD' rating. Names of all the employees with all their customers having a 'GOOD' rating.
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in
Databases
Sep 28, 2014
by
go_editor
12.3k
views
gatecse-2014-set3
databases
sql
easy
30
votes
10
answers
3
GATE CSE 2014 Set 3 | Question: 53
The CORRECT formula for the sentence, "not all Rainy days are Cold" is $\forall d (\text{Rainy}(d) \wedge \text{~Cold}(d))$ $\forall d ( \text{~Rainy}(d) \to \text{Cold}(d))$ $\exists d(\text{~Rainy}(d) \to \text{Cold}(d))$ $\exists d(\text{Rainy}(d) \wedge \text{~Cold}(d))$
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in
Mathematical Logic
Sep 28, 2014
by
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5.8k
views
gatecse-2014-set3
mathematical-logic
easy
first-order-logic
18
votes
2
answers
4
GATE CSE 2014 Set 3 | Question: 52
Let $\delta$ denote the minimum degree of a vertex in a graph. For all planar graphs on $n$ vertices with $\delta \geq 3$, which one of the following is TRUE? In any planar embedding, the number of faces is at least $\frac{n}{2}+2$ In any planar ... than $\frac{n}{2}+2$ There is a planar embedding in which the number of faces is at most $\frac {n}{\delta+1}$
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in
Graph Theory
Sep 28, 2014
by
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5.9k
views
gatecse-2014-set3
graph-theory
graph-planarity
normal
56
votes
11
answers
5
GATE CSE 2014 Set 3 | Question: 51
If $G$ is the forest with $n$ vertices and $k$ connected components, how many edges does $G$ have? $\left\lfloor\frac {n}{k}\right\rfloor$ $\left\lceil \frac{n}{k} \right\rceil$ $n-k$ $n-k+1$
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in
Graph Theory
Sep 28, 2014
by
go_editor
13.0k
views
gatecse-2014-set3
graph-theory
graph-connectivity
normal
64
votes
5
answers
6
GATE CSE 2014 Set 3 | Question: 50
There are two elements $x,\:y$ in a group $(G,*)$ such that every element in the group can be written as a product of some number of $x$'s and $y$'s in some order. It is known that $x*x=y*y=x*y*x*y=y*x*y*x=e$ where $e$ is the identity element. The maximum number of elements in such a group is ____.
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Set Theory & Algebra
Sep 28, 2014
by
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11.8k
views
gatecse-2014-set3
set-theory&algebra
group-theory
numerical-answers
normal
68
votes
4
answers
7
GATE CSE 2014 Set 3 | Question: 49
Consider the set of all functions $f:\{0,1, \dots,2014\} \to \{0,1,\dots, 2014\}$ such that $ f\left(f\left(i\right)\right)=i$, for all $0 \leq i \leq 2014$. Consider the following statements: $P$. For each such function it must be the case that for every ... is CORRECT? $P, Q$ and $R$ are true Only $Q$ and $R$ are true Only $P$ and $Q$ are true Only $R$ is true
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in
Set Theory & Algebra
Sep 28, 2014
by
go_editor
11.6k
views
gatecse-2014-set3
set-theory&algebra
functions
normal
33
votes
5
answers
8
GATE CSE 2014 Set 3 | Question: 48
Let $S$ be a sample space and two mutually exclusive events $A$ and $B$ be such that $A \cup B = S$. If $P(.)$ denotes the probability of the event, the maximum value of $P(A)P(B)$ is_____.
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in
Probability
Sep 28, 2014
by
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6.4k
views
gatecse-2014-set3
probability
numerical-answers
normal
28
votes
4
answers
9
GATE CSE 2014 Set 3 | Question: 47
The value of the integral given below is $\int \limits_0^{\pi} \: x^2 \: \cos x\:dx$ $-2\pi$ $\pi$ $-\pi$ $2\pi$
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asked
in
Calculus
Sep 28, 2014
by
go_editor
5.4k
views
gatecse-2014-set3
calculus
limits
integration
normal
5
votes
1
answer
10
GATE CSE 2014 Set 3 | Question: 46
With respect to the numerical evaluation of the definite integral, $K = \int \limits_a^b \:x^2 \:dx$, where $a$ and $b$ are given, which of the following statements is/are TRUE? The value of $K$ obtained using the trapezoidal rule is always ... Simpson's rule is always equal to the exact value of the definite integral. I only II only Both I and II Neither I nor II
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asked
in
Numerical Methods
Sep 28, 2014
by
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2.8k
views
gatecse-2014-set3
numerical-methods
trapezoidal-rule
simpsons-rule
normal
26
votes
5
answers
11
GATE CSE 2014 Set 3 | Question: 45
The above synchronous sequential circuit built using JK flip-flops is initialized with $Q_2Q_1Q_0 = 000$. The state sequence for this circuit for the next $3$ clock cycles is $001, 010, 011$ $111, 110, 101$ $100, 110, 111$ $100, 011, 001$
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asked
in
Digital Logic
Sep 28, 2014
by
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14.2k
views
gatecse-2014-set3
digital-logic
circuit-output
normal
62
votes
5
answers
12
GATE CSE 2014 Set 3 | Question: 44
The memory access time is $1$ nanosecond for a read operation with a hit in cache, $5$ nanoseconds for a read operation with a miss in cache, $2$ nanoseconds for a write operation with a hit in cache and $10$ nanoseconds for a write ... cache hit-ratio is $0.9$. The average memory access time (in nanoseconds) in executing the sequence of instructions is ______.
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CO and Architecture
Sep 28, 2014
by
go_editor
17.6k
views
gatecse-2014-set3
co-and-architecture
cache-memory
numerical-answers
normal
47
votes
7
answers
13
GATE CSE 2014 Set 3 | Question: 43
An instruction pipeline has five stages, namely, instruction fetch (IF), instruction decode and register fetch (ID/RF), instruction execution (EX), memory access (MEM), and register writeback (WB) with stage latencies $1$ ns, $2.2 $ ns, $2$ ... program on the old and the new design are $P$ and $Q$ nanoseconds, respectively. The value of $P/Q$ is __________.
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asked
in
CO and Architecture
Sep 28, 2014
by
go_editor
17.0k
views
gatecse-2014-set3
co-and-architecture
pipelining
numerical-answers
normal
53
votes
9
answers
14
GATE CSE 2014 Set 3 | Question: 42
Consider the C function given below. Assume that the array $listA$ contains $n (>0)$ elements, sorted in ascending order. int ProcessArray(int *listA, int x, int n) { int i, j, k; i = 0; j = n-1; do { k = (i+j)/2; if ... implementation of binary search. It will always find the maximum element in $listA$. It will return −$1$ even when $x$ is present in $listA$.
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asked
in
DS
Sep 28, 2014
by
go_editor
10.2k
views
gatecse-2014-set3
data-structures
array
easy
48
votes
6
answers
15
GATE CSE 2014 Set 3 | Question: 41
Consider the pseudocode given below. The function $DoSomething()$ takes as argument a pointer to the root of an arbitrary tree represented by the $leftMostChild-rightSibling$ representation. Each node of the tree is of type $treeNode$. typedef struct ... height of the tree. number of nodes without a right sibling in the tree. number of leaf nodes in the tree
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asked
in
DS
Sep 28, 2014
by
go_editor
15.1k
views
gatecse-2014-set3
data-structures
tree
normal
39
votes
3
answers
16
GATE CSE 2014 Set 3 | Question: 40
Consider a hash table with $100$ slots. Collisions are resolved using chaining. Assuming simple uniform hashing, what is the probability that the first $3$ slots are unfilled after the first $3$ insertions? $(97 \times 97 \times 97) / 100^3$ $(99 \times 98 \times 97) / 100^3$ $(97 \times 96 \times 95) / 100^3$ $(97 \times 96 \times 95 / (3! \times 100^3)$
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asked
in
DS
Sep 28, 2014
by
go_editor
17.2k
views
gatecse-2014-set3
data-structures
hashing
probability
normal
96
votes
8
answers
17
GATE CSE 2014 Set 3 | Question: 39
Suppose we have a balanced binary search tree $T$ holding $n$ numbers. We are given two numbers $L$ and $H$ and wish to sum up all the numbers in $T$ that lie between $L$ and $H$. Suppose there are $m$ such numbers in $T$. If the tightest upper bound on the time to compute the sum is $O(n^a\log^bn+m^c\log^dn)$, the value of $a+10b+100c+1000d$ is ______.
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asked
in
DS
Sep 28, 2014
by
go_editor
24.2k
views
gatecse-2014-set3
data-structures
binary-search-tree
numerical-answers
normal
10
votes
3
answers
18
GATE CSE 2014 Set 3 | Question: 38
Consider the decision problem $2CNFSAT$ defined as follows: $\left\{ \phi \mid \phi \text{ is a satisfiable propositional formula in CNF with at most two literals per clause}\right\}$ ... by reduction to directed graph reachability. solvable in constant time since any input instance is satisfiable. NP-hard but not NP-complete.
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in
Theory of Computation
Sep 28, 2014
by
go_editor
3.0k
views
gatecse-2014-set3
theory-of-computation
p-np-npc-nph
easy
out-of-syllabus-now
47
votes
4
answers
19
GATE CSE 2014 Set 3 | Question: 37
Suppose you want to move from $0$ to $100$ on the number line. In each step, you either move right by a unit distance or you take a shortcut. A shortcut is simply a pre-specified pair of integers $i,\:j \:\text{with}\: i <j$. Given a shortcut $(i,j)$, if you ... $y$ and $z$ be such that $T(9) = 1 + \min(T(y),T(z))$. Then the value of the product $yz$ is _____.
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asked
in
Algorithms
Sep 28, 2014
by
go_editor
6.9k
views
gatecse-2014-set3
algorithms
normal
numerical-answers
dynamic-programming
27
votes
2
answers
20
GATE CSE 2014 Set 3 | Question: 36
Consider the following languages over the alphabet $\sum = \{0, 1, c\}$ $L_1 = \left\{0^n1^n\mid n \geq 0\right\}$ $L_2 = \left\{wcw^r \mid w \in \{0,1\}^*\right\}$ ... the string $w$. Which of these languages are deterministic Context-free languages? None of the languages Only $L_1$ Only $L_1$ and $L_2$ All the three languages
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in
Theory of Computation
Sep 28, 2014
by
go_editor
8.2k
views
gatecse-2014-set3
theory-of-computation
identify-class-language
context-free-language
normal
31
votes
3
answers
21
GATE CSE 2014 Set 3 | Question: 35
Which one of the following problems is undecidable? Deciding if a given context-free grammar is ambiguous. Deciding if a given string is generated by a given context-free grammar. Deciding if the language generated by a given context-free grammar is empty. Deciding if the language generated by a given context-free grammar is finite.
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asked
in
Theory of Computation
Sep 28, 2014
by
go_editor
7.0k
views
gatecse-2014-set3
theory-of-computation
context-free-language
decidability
normal
65
votes
4
answers
22
GATE CSE 2014 Set 3 | Question: 34
Consider the basic block given below. a = b + c c = a + d d = b + c e = d - b a = e + b The minimum number of nodes and edges present in the DAG representation of the above basic block respectively are $6$ and $6$ $8$ and $10$ $9$ and $12$ $4$ and $4$
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in
Compiler Design
Sep 28, 2014
by
go_editor
28.5k
views
gatecse-2014-set3
compiler-design
code-optimization
normal
35
votes
2
answers
23
GATE CSE 2014 Set 3 | Question: 33
Consider a paging hardware with a $TLB$. Assume that the entire page table and all the pages are in the physical memory. It takes $10$ milliseconds to search the $TLB$ and $80$ milliseconds to access the physical memory. If the $TLB$ hit ratio is $0.6$, the effective memory access time (in milliseconds) is _________.
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asked
in
Operating System
Sep 28, 2014
by
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12.8k
views
gatecse-2014-set3
operating-system
virtual-memory
numerical-answers
normal
20
votes
3
answers
24
GATE CSE 2014 Set 3 | Question: 32
An operating system uses shortest remaining time first scheduling algorithm for pre-emptive scheduling of processes. Consider the following set of processes with their arrival times and CPU burst times (in milliseconds): ... The average waiting time (in milliseconds) of the processes is ______.
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asked
in
Operating System
Sep 28, 2014
by
go_editor
6.6k
views
gatecse-2014-set3
operating-system
process-scheduling
numerical-answers
normal
21
votes
5
answers
25
GATE CSE 2014 Set 3 | Question: 31
A system contains three programs and each requires three tape units for its operation. The minimum number of tape units which the system must have such that deadlocks never arise is _________.
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asked
in
Operating System
Sep 28, 2014
by
go_editor
10.2k
views
gatecse-2014-set3
operating-system
resource-allocation
numerical-answers
easy
53
votes
3
answers
26
GATE CSE 2014 Set 3 | Question: 30
Consider the relational schema given below, where eId of the relation dependent is a foreign key referring to empId of the relation employee. Assume that every employee has at least one associated dependent in the dependent relation. employee (empId, ... is greater than that of some dependent. all dependents. some of his/her dependents. all of his/her dependents.
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asked
in
Databases
Sep 28, 2014
by
go_editor
10.1k
views
gatecse-2014-set3
databases
relational-algebra
normal
26
votes
2
answers
27
GATE CSE 2014 Set 3 | Question: 29
Consider the transactions $T1, T2, \:\text{and} \:T3$ and the schedules $S1 \:\text{and} \:S2$ given below. $T1: r1(X); r1(Z); w1(X); w1(Z) $ $T2: r2(Y); r2(Z); w2(Z) $ $T3: r3(Y); r3(X); w3(Y) $ ... Only $S1$ is conflict-serializable. Only $S2$ is conflict-serializable. Both $S1$ and $S2$ are conflict-serializable. Neither $S1$ nor $S2$ is conflict-serializable.
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asked
in
Databases
Sep 28, 2014
by
go_editor
6.5k
views
gatecse-2014-set3
databases
transaction-and-concurrency
normal
46
votes
10
answers
28
GATE CSE 2014 Set 3 | Question: 28
An $IP$ router with a $\text{Maximum Transmission Unit (MTU)}$ of $1500$ bytes has received an $IP$ packet of size $4404\text{ bytes}$ with an $IP$ header of length $20\text{ bytes}$. The values of the relevant fields in the header of the third $IP$ ... $1,$ Datagram Length$: 1500;$ Offset$: 370$ $\text{MF bit}$: $0,$ Datagram Length$: 1424;$ Offset$: 2960$
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asked
in
Computer Networks
Sep 28, 2014
by
go_editor
16.4k
views
gatecse-2014-set3
computer-networks
ip-packet
normal
71
votes
10
answers
29
GATE CSE 2014 Set 3 | Question: 27
Every host in an $\textsf{IPv4}$ network has a $1\text{-second}$ resolution real-time clock with battery backup. Each host needs to generate up to $1000$ ... globally unique ID for this purpose. After what period (in seconds) will the identifiers generated by a host wrap around?
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asked
in
Computer Networks
Sep 28, 2014
by
go_editor
16.0k
views
gatecse-2014-set3
computer-networks
ip-addressing
numerical-answers
normal
42
votes
6
answers
30
GATE CSE 2014 Set 3 | Question: 26
An IP router implementing Classless Inter-domain Routing (CIDR) receives a packet with address $131.23.151.76$ ... The identifier of the output interface on which this packet will be forwarded is ______.
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asked
in
Computer Networks
Sep 28, 2014
by
go_editor
12.7k
views
gatecse-2014-set3
computer-networks
routing
normal
numerical-answers
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