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Recent questions tagged goclasses2024-mockgate-13
5
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1
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1
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 1
A total of $n$ points are equally spaced around a circle and are labelled with the integers $1$ to $n$, in order. Two points are called diametrically opposite if the line segment joining them is a diameter of the circle. If the points labelled $7$ and $35$ are diametrically opposite, then $n$ equals $54$ $55$ $56$ $57$
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Quantitative Aptitude
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4
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1
answer
2
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 2
In a factory, Erika assembles $3$ calculators in the same amount of time that Nick assembles $2$ calculators. Also, Nick assembles $1$ calculator in the same amount of time that Sam assembles $3$ calculators. How many calculators in total ... and Sam in the same amount of time as Erika assembles $9$ calculators? $30$ $24$ $27$ $33$
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Quantitative Aptitude
Jan 28
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1
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1
answer
3
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 3
A small square is drawn inside a larger square as shown. The area of the shaded region and the area of the unshaded region are each $18 \mathrm{~cm}^2$. What is the side length of the larger square? $3$ $4$ $6$ $9$
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Quantitative Aptitude
Jan 28
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GO Classes
371
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goclasses2024-mockgate-13
goclasses
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geometry
1-mark
3
votes
1
answer
4
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 4
Chris received a mark of $50 \%$ on a recent test. Chris answered $13$ of the first $20$ questions correctly. Chris also answered $25 \%$ of the remaining questions on the test correctly. If each question on the test was worth one mark, how many questions in total were on the test? $23$ $38$ $32$ $24$
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Quantitative Aptitude
Jan 28
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337
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goclasses2024-mockgate-13
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percentage
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4
votes
1
answer
5
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 5
She _______ the book from the library yesterday. borrowed lent bought gave
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Verbal Aptitude
Jan 28
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GO Classes
314
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goclasses2024-mockgate-13
goclasses
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english-grammar
1-mark
1
vote
2
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6
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 6
A positive integer $n$ is a multiple of $7.$ The square root of $n$ is between $17$ and $18.$ How many possible values of $n$ are there? $2$ $3$ $4$ $5$
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Quantitative Aptitude
Jan 28
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GO Classes
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goclasses2024-mockgate-13
goclasses
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number-system
2-marks
1
vote
2
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7
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 7
Ben participates in a prize draw. He receives one prize that is equally likely to be worth $\$ 5, \$ 10$ or $\$ 20$. Jamie participates in a different prize draw. She receives one prize that is equally likely to be worth $\$ 30$ or $\$ ... $ 50?$ $1 / 6$ $1 / 3$ $1 / 2$ $1 / 4$
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Quantitative Aptitude
Jan 28
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GO Classes
312
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goclasses2024-mockgate-13
goclasses
quantitative-aptitude
probability
2-marks
4
votes
1
answer
8
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 8
Five balls, numbered $1$ to $5,$ are placed in order on a table. A sequence of steps is performed on the balls. In step $1,$ the rightmost ball is picked up and put in the middle of the four remaining balls. (The remaining ... their original order. Which of the following is a possible value of $\mathrm{N}?$ $2023$ $2024$ $2025$ $2026$
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Analytical Aptitude
Jan 28
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661
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goclasses2024-mockgate-13
goclasses
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round-table-arrangement
2-marks
3
votes
1
answer
9
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 9
Reading from left to right, the sequence consists of $6\;\text{X's},$ followed by $24\; \text{Y's},$ followed by $96\;\text{X's}.$ Hence, there are a total of $126$ letters in the sequence. After the first $n$ ... possible values of $n$. Which of the following is one of the possible values of $n?$ $72$ $74$ $76$ $80$
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Analytical Aptitude
Jan 28
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GO Classes
306
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goclasses2024-mockgate-13
goclasses
analytical-aptitude
logical-reasoning
2-marks
2
votes
0
answers
10
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 10
The significance of the Magna Carta lies not in its ________ provisions, but in its broader impact: it made the king subject to the law. specific revolutionary implicit controversial
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Verbal Aptitude
Jan 28
by
GO Classes
333
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goclasses2024-mockgate-13
goclasses
verbal-aptitude
most-appropriate-word
2-marks
7
votes
2
answers
11
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 11
Let $f(x)$ be a real-valued function all of whose derivatives exist. Recall that a point $x_0$ in the domain is called an inflection point of $f(x)$ if the second derivative $f^{\prime \prime}(x)$ changes sign at ... only inflection point. $x_0=0$ and $x_0=6$, both are inflection points. The function does not have an inflection point.
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Calculus
Jan 28
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GO Classes
824
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goclasses2024-mockgate-13
goclasses
calculus
maxima-minima
1-mark
6
votes
1
answer
12
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 12
Let $x$ be a random variable possessing the probability density function $ f(x)= \begin{cases}c x & , x \in[0,10] \\ 0 & , \text { otherwise }\end{cases} $ where $c \in \mathbb{R}$. The probability that $x \in[1,2]$ is ______. $\dfrac{1}{100}$ $\dfrac{3}{100}$ $\dfrac{5}{100}$ $\dfrac{7}{100}$
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Probability
Jan 28
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443
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goclasses2024-mockgate-13
goclasses
probability
random-variable
1-mark
7
votes
1
answer
13
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 13
If $A$ is a $3 \times 3$ matrix such that $A\left(\begin{array}{l}0 \\ 1 \\ 2\end{array}\right)=\left(\begin{array}{l}1 \\ 0 \\ 0\end{array}\right)$ ... $\left(\begin{array}{r}1 \\ -1 \\ 0\end{array}\right)$ $\left(\begin{array}{r}9 \\ 10 \\ 11\end{array}\right)$
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Linear Algebra
Jan 28
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GO Classes
559
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goclasses2024-mockgate-13
goclasses
linear-algebra
matrix
1-mark
3
votes
1
answer
14
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 14
Given that $f(n)=O(g(n))$ (where $\mathrm{O}$ is Big-O) and $f(n)=\Omega(g(n))$, which of the following statement is always true? $f(n)=o(g(n))$ (here $o$ is small-$o).$ $f(n)=\theta(g(n))$. $f(n)=\omega(g(n))$. Both A and B are always true.
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Algorithms
Jan 28
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GO Classes
276
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goclasses2024-mockgate-13
goclasses
algorithms
asymptotic-notation
1-mark
3
votes
1
answer
15
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 15
Professor Fiorina uses the following algorithm to merge $k$ sorted lists, each containing $n / k$ elements. She takes the first list and merges it with the second list using a linear-time algorithm for merging two sorted lists (If there are two lists, the ... $\theta(n)$ $\theta(n k)$ $\theta(\mathrm{n} \log k )$ $\theta(k \log n)$
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Algorithms
Jan 28
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710
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goclasses2024-mockgate-13
goclasses
algorithms
merge-sort
1-mark
6
votes
1
answer
16
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 16
Suppose we constructed the binary search tree shown by starting with an empty tree and inserting one element at a time from an input sequence, without any rotations or other manipulations. Which of the following assertions about the order of elements in ... $29$ came before $42.$ $3$ came before $14$ and $16$ came before $28.$
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DS
Jan 28
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404
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goclasses2024-mockgate-13
goclasses
data-structures
binary-search-tree
1-mark
3
votes
1
answer
17
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 17
Suppose that a binary min-heap stores six elements with priorities $10,20,30,40,50$, and $60$ in its array $\text{A}.$ What is the largest of these items that could be stored in $\text{A}[2]?$ (indexing starts from zero)
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DS
Jan 28
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GO Classes
442
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goclasses2024-mockgate-13
goclasses
numerical-answers
data-structures
binary-heap
1-mark
5
votes
1
answer
18
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 18
What will be output printed by the following program? #include<stdio.h> main() { int c=4; switch(c) { c=c-1; case 4: printf("IITB "); break; default: printf("IISc "); case 3: printf("IITM "); case ... ;IITD"); } } $\text{IITB IITM}$ $\text{IITB IISc IITM}$ $\text{IITB}$ $\text{IITB IITM IITD}$
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Programming in C
Jan 28
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349
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goclasses2024-mockgate-13
goclasses
programming
programming-in-c
output
1-mark
4
votes
0
answers
19
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 19
What will be the output of the following program? #include <stdio.h> int main() { int a[2][2] = { {1, 2}, {3, 4} }; int (*p)[2][2]; p = &a; printf("%d", (*p)[0][1]); return 0; } $1$ $2$ $3$ $4$
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Programming in C
Jan 28
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GO Classes
297
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goclasses2024-mockgate-13
goclasses
programming
programming-in-c
array-of-pointers
1-mark
5
votes
1
answer
20
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 20
Suppose we have a multi-level index file system, and this file system has $512$ Bytes blocks, inodes with $3$ direct, $1$ single-indirect, $2$ double-indirect, and $1$ triple-indirect pointer, and $64$-bit block ... inode requires the first single-indirect block number be used? $1536$ Bytes $1537$ Bytes $512$ Bytes $1500$ Bytes
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Operating System
Jan 28
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GO Classes
549
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goclasses2024-mockgate-13
goclasses
operating-system
file-system
1-mark
5
votes
1
answer
21
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 21
Consider a virtual memory system that uses paging. Virtual and physical addresses are both $32$ bits long, and the page size is $4 \textsf{KB}=2^{12}$ bytes. A process $\text{P}_1$ has the following page table. ... $\textsf{0x00003b65}$ $\textsf{0x00875b65}$ $\textsf{0x00875}$ Translation is not possible as per the given page table
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Operating System
Jan 28
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GO Classes
358
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goclasses2024-mockgate-13
goclasses
operating-system
paging
virtual-memory
1-mark
4
votes
1
answer
22
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 22
An IP router implementing Classless Inter-domain Routing (CIDR) receives a packet with address $128.96.39.10.$ ... will be forwarded is __________. $\text{R}2$ $\text{R}3$ $\text{R}4$ $\text{R}6$
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Computer Networks
Jan 28
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GO Classes
352
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goclasses2024-mockgate-13
goclasses
computer-networks
routing
subnetting
1-mark
6
votes
1
answer
23
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 23
Which of the following statements is/are false? If a context-free grammar $\mathrm{G}$ is in Chomsky's normal form, then $\mathrm{G}$ is not ambiguous. For every number $n$ ... s a $10$-state NFA that accepts $\text{L}$ then there's a $100$-state DFA that accepts $\mathrm{L}$.
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Theory of Computation
Jan 28
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GO Classes
603
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goclasses2024-mockgate-13
goclasses
numerical-answers
theory-of-computation
context-free-language
multiple-selects
1-mark
5
votes
1
answer
24
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 24
Let $\mathrm{M}$ be a $8$-state Deterministic Finite Automaton over the alphabet $\{a, b, c\}$. If the language accepted by $\text{M}$ i.e. $\text{L(M)}$ is finite, then the maximum possible cardinality of $\text{L(M)}$ is __________.
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Theory of Computation
Jan 28
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GO Classes
524
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goclasses2024-mockgate-13
goclasses
numerical-answers
theory-of-computation
finite-automata
1-mark
3
votes
1
answer
25
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 25
A garage door opens if it ever sees the password $011$ in a transmission. More formally, this FSM takes a bitstring consisting of $\text{0's}$ and $\text{1's}$ as its input, and continually outputs $\text{0's}$ until it sees the substring $011,$ ... Arrow $1 - (0/0)$ Arrow $3 - (1/0)$ Arrow $4 - (1/0)$ Arrow $5 - (1/1)$
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Digital Logic
Jan 28
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GO Classes
346
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goclasses2024-mockgate-13
goclasses
digital-logic
sequential-circuit
finite-automata
multiple-selects
1-mark
4
votes
1
answer
26
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 26
The figure below represents the Karnaugh map for a function $\text{F(A,B,C,D).}$ Note, $\text{ X'}$ stands for don't care. The simplified logical expression in the sum-of-products (SOP) form (i.e., the minimum number of ... can be converted into a circuit implementation using only NAND gates, which is shown in: a b c d
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Digital Logic
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316
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goclasses
digital-logic
boolean-algebra
k-map
1-mark
2
votes
1
answer
27
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 27
What statement is correct for $f(A, B)$ in the following circuit? $f(A, B)=\overline{\overline{A \cdot B} \cdot(A+B)}$ when Control $=1$ $f(A, B)=A \cdot B$ when Control $=0$ $f(A, B)=\overline{A}+\overline{B}$ when Control $=1$ $f(A, B)=\overline{A} \cdot \overline{B}$ when Control $=0$
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Digital Logic
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GO Classes
317
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goclasses2024-mockgate-13
goclasses
digital-logic
digital-circuits
multiple-selects
1-mark
3
votes
1
answer
28
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 28
A group $G$ in which $(a b)^2=a^2 b^2$ for all $a, b$ in $G$ is necessarily finite cyclic abelian none of the above
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Set Theory & Algebra
Jan 28
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GO Classes
318
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goclasses2024-mockgate-13
goclasses
set-theory&algebra
group-theory
1-mark
5
votes
1
answer
29
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 29
In two's complement, what is the minimum number of bits needed to represent the numbers $-1$ and the number $1$ respectively? $1$ and $2$ $2$ and $2$ $2$ and $1$ $1$ and $1$
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Digital Logic
Jan 28
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477
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goclasses2024-mockgate-13
goclasses
digital-logic
number-representation
1-mark
3
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1
answer
30
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 31
Let $\text{R}_1, \text{R}_2, \ldots,\text{ }R_n$ be a decomposition of schema $\text{U}$. Let $u(\text{U})$ be a relation, and let $r_i=\Pi_{\text{R}_i}(u)$ ... $u=r_1 \bowtie r_2 \bowtie r_3 \bowtie r_4 \bowtie . . r_n$ None of the above
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Databases
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360
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