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NTA PhD Entrance Examination CS 2023| Part 2 Question: 1
Question No. 1 / Question ID 974051 Marks: 4.00 The number of divisors of 2100 is 1. 42 2. 36 3. 78 4. 72 1 (Chosen Option) 2 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 2
Suppose that a disk drive has 5000 cylinders, numbered from 0 to 4999 . The drive is assumed to be currently serving a request at cylinder 143 , provided that the previous request was at cylinder 125 . The queue of pending requests, in FIFO ... satisfy C-SCAN disk-scheduling algorithm? 1. 3363 2. 9813 3. 9769 4. 3319 1 2 (Chosen Option) 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 3
Question No. 3 / Question ID 974076 Marks: 4.00 void main() \{ int $\mathrm{i}$; for $(i=0 ; i

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 4
Question No. 4 / Question ID 974060 Marks: 4.00 A group $\mathrm{G}$ has an order of 84 . The size of the largest possible proper subgroup of $\mathrm{G}$ is 1. 14 2. 12 3. 42 4. 84 1 2 3 (Chosen Option) 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 5
Question No. 5 / Question ID 974062 Marks: 4.00 Assume a page reference string for a process with $m$ frames (initially all empty). The page reference string has length $\mathrm{p}$ with $\mathrm{n}$ distinct page numbers occurring in it. Consider any page- ... $\mathrm{p}-1, \mathrm{n}$ 4. n, p 1 2 3 (Chosen Option) 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 6
Question No. 6 / Question ID 974081 Marks: 4.00 Some of the following statements are NOT correct about B+ tree that is used for creating an index of relational database table. $B+$ tree is also called as a height imbalanced tree. Non-leaf nodes have pointers ... given below: 1. A and B Only 2. C and E Only 3. A and D Only 4. C, D and E Only

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 7
Question No. 7 / Question ID 974077 Marks: 4.00 Match List I with List II \begin{tabular}{|l|l|c|c|} \hline \multicolumn{2}{|c|}{ LIST I } & \multicolumn{2}{c|}{ LIST II } \\ \hline & File & & memory allocation \\ \hline & Detection ... D-IV 3. A-III, B-I, C-II, D-IV 4. A-IV, B-III, C-II, D-I 1 (Chosen Option) 2 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 8
Question No. 8 / Question ID 974068 Marks: 4.00 Match List I with List II \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ LIST I } & \multicolumn{2}{|c|}{ LIST II } \\ \hline & RAID Level 0 & & \begin{tabular}{l} Refers a disk array ... 2. A-I, B-II, C-III, D-IV 3. A-III, B-I, C-II, D-IV 4. A-IV, B-III, C-II, D-I

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 9
Question No. 9 / Question ID 974078 Marks: 4.00 Match List I with List II \begin{tabular}{|l|l|c|l|} \hline \multicolumn{2}{|c|}{ LIST I } & \multicolumn{2}{c|}{ LIST II } \\ \hline & Bellman Ford (average case) & & ... III, D-IV 3. A-IV, B-II, C-I, D-III 4. A-IV, B-II, C-III, D-I 1 2 3 (Chosen Option) 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 10
Question No. 10 / Question ID 974084 Marks: 4.00 The breadth first search algorithm has been implemented using queue data structure on the given graph. Identify one of the possible order of visiting the nodes of the graph. 1. Q,M,N,P,R,O 2. M,N,O,P,Q,R 3. N,Q,M,P,O,R 4. Q,M,N,P,O,R 1 2 (Chosen Option) 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 11
Question No. 11 / Question ID 974059 Marks: 4.00 If $\mathrm{A}$ is a finite set containing 3 different elements, then the number of relations on $\mathrm{A}$ is equal to 1. 246 2. 462 3. 256 4. 512 1 2 (Chosen Option) 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 12
Question No. 12 / Question ID 974067 Marks: 4.00 Consider a logical address space of 8 pages with 1024 words, each mapped onto a physical memory of 32 frames. How many bits are there in logical address and physical address, respectively? 1. 10,5 2. 15,13 3. 13,15 4. 5,10 1 (Chosen Option) 2 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 13
Question No. 13 / Question ID 974071 Marks: 4.00 The output of the following $\mathrm{C}$ code is void main() \{ printf("\%d", printf("hello")); \} 1. hello5 2. hello 3. compilation error 4. "hello" 1 2 3 4 (Chosen Option)

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 14
Question No. 14 / Question ID 974075 Marks: 4.00 Consider the following program fragment, and predict its output. void main() \{ int $a=4, b=6$; $\operatorname{printf}(" \% \mathrm{~d} \% \% ", \mathrm{a}=\mathrm{b})$; \} 1. compilation error 2. 0 3. $6 \%$ 4. 1 1 2 (Chosen Option) 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 15
Question No. 15 / Question ID 974069 Marks: 4.00 The value returned by an operating system upon successful completion of a program is 1. -1 2. 1 3. 0 4. No value is returned 1 2 (Chosen Option) 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 16
Which one of the following is NOT a valid declaration of a variable in C? signed int $\mathrm{x}$; unsigned short $\mathrm{y}$; signed string w; unsigned short int $\mathrm{z}$; Choose the most appropriate answer from the options given below: 1. A and C Only 2. B and D Only 3. C Only 4. B, C and D Only 1 2 3 (Chosen Option) 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 17
Question No. 17 / Question ID 974064 Marks: 4.00 Consider four processes W, X, Y, Z being scheduled on a CPU as per Round Robin algorithm with a time quantum of 2 units. Also, the respective processing times and arrival times ( ... Statement I and Statement II are True 4. Both Statement I and Statement II are False 1 2 (Chosen Option) 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 18
Question No. 18 / Question ID 974058 Marks: 4.00 The generating function of the sequence $a_{n}=n$ is 1. $1 /(1-x)^{2}$ 2. $x /(1-x)^{2}$ 3. $x^{2} /(1-x)^{2}$ 4. $x^{2} /\left(1-x^{2}\right)$ 1 (Chosen Option) 2 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 19
Question No. 19 / Question ID 974056 Marks: 4.00 Given below are two statements: Statement I: World wide web is a method of accessing information using the Internet. Statement II: ISP stands for Intelligent Service Provider. In the light ... but Statement II is false 4. Statement I is false but Statement II is true 1 2 3 (Chosen Option) 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 20
Question No. 20 / Question ID 974073 Marks: 4.00 Given below are two statements: Statement I: Evaluation of the expression involving $\|$ operators will stop, if one of its components is evaluated as false Statement II: Evaluation of the ... but Statement II is false 4. Statement I is false but Statement II is true 1 2 3 4 (Chosen Option)

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 21
Question No. 21 / Question ID 974080 Marks: 4.00 The average number of comparisons performed by merge sort algorithm, while merging two sorted lists of length 2 is 1. $8 / 5$ 2. $8 / 3$ 3. $11 / 6$ 4. $11 / 8$ 1 2 (Chosen Option) 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 22
Match List I with List II \begin{tabular}{|l|l|r|l|} \hline \multicolumn{2}{|c|}{\begin{tabular}{c} List I \\ Ethernet Technology \end{tabular}} & \multicolumn{2}{c|}{\begin{tabular}{c} List II \\ Cable Type \end{tabular}} \\ \hline & 10 Base 5 ... , D-IV 3. A-II, B-I, C-IV, D-III 4. A-I, B-IV, C-III, D-II 1 (Chosen Option) 2 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 23
Question No. 23 / Question ID 974054 Marks: 4.00 How many parity bits are required in Hamming code if message size is 8 bits? 1. 2 2. 4 3. 6 4. 8 1 (Chosen Option) 2 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 24
Question No. 24 / Question ID 974070 Marks: 4.00 What is the correct output of the following $\mathrm{C}$ program? void main() \{ int $\mathrm{a}, \mathrm{b}$; $\mathrm{a}=10,20$; $\mathrm{b}=(10,20)$; printf("\%d, \%d", a, b); \} 1. 10,20 2. 20,10 3. compilation error 4. 10,10 1 2 3 4 (Chosen Option)

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 25
Question No. 25 / Question ID 974052 Marks: 4.00 Match List I with List II \begin{tabular}{|c|l|c|l|} \hline \multicolumn{2}{|c|}{ LIST I } & \multicolumn{2}{c|}{ LIST II } \\ \hline & Session layer & & Provides error detection and ... -IV 3. A-III, B-II, C-IV, D-I 4. A-I, B-II, C-IV, D-III 1 2 3 (Chosen Option) 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 26
Question No. 26 / Question ID 974053 Marks: 4.00 Which of the following is not a proposition? 1. 4 is a prime number. 2. $3+3=6$ 3. 2 is an even number and 1 is not. 4. $x=3$ 1 2 3 (Chosen Option) 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 27
Question No. 27 / Question ID 974082 Marks: 4.00 In data structures, stacks are useful for implementing Radix sort Breadth-first search Recursion Depth-first search Choose the most appropriate answer from the options given below: 1. A and B Only 2. A and C Only 3. B and D Only 4. C and D Only 1 2 3 4 (Chosen Option)

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 28
Question No. 28 / Question ID 974079 Marks: 4.00 For a bipartite graph, denoted as $\mathrm{K}_{\mathrm{m}, \mathrm{n}}$, the maximum possible connections are 1. $\mathrm{m} \times \mathrm{n}$ 2. $\mathrm{m}^{\mathrm{n}}$ 3. $\mathrm{m}+\mathrm{n}$ 4. $\mathrm{n}^{\mathrm{m}}$ 1 (Chosen Option) 2 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 29
Question No. 29 / Question ID 974055 Marks: 4.00 Consider a noiseless channel with bandwidth of $3000 \mathrm{~Hz}$ that is transmitting a signal with two signal levels. The maximum bit rate is 1. $3000 \mathrm{bps}$ 2. $6000 \mathrm{bps}$ 3. $1500 \mathrm{bps}$ 4. $4000 \mathrm{bps}$ 1 2 (Chosen Option) 3 4

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NTA PhD Entrance Examination CS 2023| Part 2 Question: 30
Question No. 30 / Question ID 974083 Marks: 4.00 Consider the following two functions: \[ \begin{array}{l} f(n)=\left\{\begin{array}{lr} n^{3}, & 0 \leq n

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