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Let $S$ be an infinite set and $S_1 \dots , S_n$ be sets such that $S_1 \cup S_2 \cup \dots \cup S_n = S$. Then at least one of the sets $S_i$ is a finite set not more than one of the sets $S_i$ can be finite at least one of the sets $S_i$ is an infinite None of the above
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qwer: 7
Power set of empty set has exactly how many subset(s) One Two Zero Three
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Which of the following is/are true? If $S$ is a set and $|S| = 103$, then $S$ is not the power set of any set (that is, there is no set $T$ where $S = \mathcal{P}(T))$. If $S$ is a set and $|S| = 103$, then $S$ is a power set of some set (that is, there is some ... is a set and $|S| = 8$, then $S$ is not the power set of any set (that is, there is no set $T$ where $S = \mathcal{P}(T))$.
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qwer: 9
Which of the following statements is /are TRUE? $2 \in A \cup B$ implies that if $2 \notin A$ then $2 \in B$. $\{2,3\} \subseteq A$ implies that $2 \in A$ and $3 \in A$. $A \cap B \supseteq\{2,3\}$ implies that $\{2,3\} \subseteq A$ and $\{2,3\} \subseteq B$. $A-B \supseteq\{3\}$ and $\{2\} \subseteq B$ implies that $\{2,3\} \subseteq A \cup B$.
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qwer: 10
Which of the following statements is /are False? $\{2,3,4\} \in A$ and $\{2,3\} \in B$ implies that $\{4\} \subseteq A-B$. $A \cap B \supseteq\{2,3,4\}$ implies that $\{2,3,4\} \subseteq A$ and $\{2,3,4\} \subseteq B$. $A-B \supseteq\{3,4\}$ ... $\{2,3\} \subseteq A \cup B$ implies that if $\{2,3\} \cap A=\emptyset$ then $\{2,3\} \subseteq B$.
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6
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 6
Select the grammatically incorrect sentence from the options given. The case holding the plates are broken. Either Ravi or Reena is attempting to come today. Both Ali and Anjana will have to take the test. The overall sentiment in the office is negative regarding the reports.
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1
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7
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 7
A class of 30 students was asked what they did on their winter holiday. 20 students said that they went skating. 9 students said that they went skiing. Exactly 5 students said that they went skating and went skiing. How many students did not go skating and did not go skiing? 1 6 11 19
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8
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1
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8
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 8
In her last basketball game, Jackie scored 36 points. These points raised the average (mean) number of points that she scored per game from 20 to 21. To raise this average to 22 points, how many points must Jackie score in her next game? 38 22 23 36
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6
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1
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9
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 9
The positive integers are arranged in rows and columns, as shown, and described below. The odd numbered rows list six positive integers in order from left to right beginning in column B. The even numbered rows list six positive integers in order from ... row = 836) row $=837$, column $=\mathrm{D}$ row $=837$, column $=\mathrm{E}$
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3
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10
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 10
In the diagram, a figure is formed dividing a square into eight identical pieces using its two diagonals and the two lines joining the midpoints of opposite sides, and then drawing a circle in the square as shown. This figure is reflected in line L. Which of the following shows the final position of the figure?
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9
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11
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 36
Assume a linear page table, with a 1-byte page-table entry. Assume physical and virtual address spaces of size 128 bytes with 32-byte pages. The page-table base register is set to physical address 16. The contents of ... What are the physical addresses that will get referred in fetch and execute of the above instruction? 10 42 102 70
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12
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 37
Suppose that an operating system provides two functions, block() which puts the calling process on the blocked queue, and wakeup(P) which moves process P to the ready queue if it is currently on the blocked queue. ... alternation printing ABABAB . A and B will always run forever with strick alternation printing BABABA . None of these
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13
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 38
Consider a sliding window protocol with a window size of $5$ using cumulative ACKs (and ACK is being sent for each segment). Assume that the retransmission timeout timer is long enough and timeout has not occurred for any ... after data packet 5 Data packet 3 was duplicated by the network ACK packet A3 was duplicated by the network
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3
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14
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 39
For sets $A$ and $B$, let $f: A \rightarrow B$ and $g: B \rightarrow A$ be functions such that $f(g(x))=x$ for each $x \in B$. Which among the following statements is/are correct? The function $f$ must be one-to-one. The function $f$ must be onto. The function g must be one-to-one. The function $g$ must be onto.
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4
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15
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 40
Consider the following schema (primary keys are underlined): Which of the following queries returns the department numbers of those departments for which there are no courses being offered?
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9
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1
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16
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 41
Consider the following lock requests in the Table below. And note that: $\mathrm{S}(\cdot)$ and $\mathrm{X}(\cdot)$ stand for 'shared lock' and 'exclusive lock', respectively. $T_1, T_2, T_3, T_4$, and $T_5$ represent five ... dead('-'). Select all that are correct. At t3: a At t6: b At t7: a At t8: -
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17
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 42
The provided C code is a version of the C string library function strlen(), which calculates the length of a given string. unsigned int mystrlen(char *c) { unsigned int i = 0; /* Your code here. */ } Which line of code creates a working and ... != '\0') i++; return i; while (*(c + i) != '\0') ++i; return i;
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18
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 43
What will be the output of the following C program? #include <stdio.h> void Mickey(int**, int, int); void Mouse(int, int*); int main() { int a = 2, b = 3, c = 4; int *points = &a; Mickey(&points, b, c); printf("%d", ... x; *p = **points+1; Mouse(z, p); return; } void Mouse(int z, int *p) { *p = *p+1; return; }
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5
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2
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19
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 44
Let $B$ be a binary search tree (BST) with eight nodes filled with the following set of eight integer keys $A=\{10,2,5,3,20,15,9,22\}$. The order in which these keys were inserted to create $B$ is not known. However ... are required to verify if all eight keys of $A$ are present in $B$. How many leaf nodes are present in B?
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7
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1
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20
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 45
Consider a stack whose elements are unsigned integers and support the following operations: PUSH a: Pushes the element 'a' onto the stack. ADD: Adds the two topmost elements, removes them, and pushes the result. SQR: ... once, count it as many times as it is used. Your final count should include initial 3 PUSH instructions.
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4
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21
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 46
We have a procedure $P(n)$ that makes multiple calls to a procedure $Q(m)$, and runs in polynomial time in $n$. Unfortunately, a significant flaw was discovered in $Q(m)$, and it had to be replaced by $R(m)$, which runs in exponential ... $P(n)$ runs in polynomial time in $n$ if, for each call $Q(m),m \underline<\log \;n.$
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22
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 47
A $\text{stable sort}$ preserves the order of values that are equal with respect to the comparison function. We have a list of three-dimensional points $[(7, 1, 8),(3, 5, 7),(6, 1, 4),(6, 5, 9),(0, 2, 5),(9, 0, 9)].$ We sort these in ascending order by the ... $[(9, 0, 9),(6, 1, 4),(7, 1, 8),(0, 2, 5),(3, 5, 7),(6, 5, 9)]$
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23
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 48
Consider the quadratic equation $x^2+\dfrac{x}{2}+c=0$, where $c$ is chosen uniformly randomly from the interval $[0,1]$. What is the probability that the given quadratic equation has a real solution? The solutions of $a x^2+b x+c=0$ are given by $x=\dfrac{-b \pm \sqrt{b^2-4 a c}}{2a}$. $1 / 2$ $1 / 4$ $1 / 8$ $1 / 16$
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6
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2
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24
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 49
Consider a $2 \times 2$ matrix M. Which of the following are NOT POSSIBLE for the system of equations $M x=p?$ no solutions for some but not all $\vec{p}$; exactly one solution for all other $\vec{p}$ exactly one solution for ... some $\vec{p}$, exactly one solution for some $\vec{p}$ and more than one solution for some $\vec{p}$
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25
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 50
Consider the following database relation: $\mathrm{R}=(\mathrm{SFLNGCRW} \mathrm{H})=(\mathrm{S}$ : SID, F: First Name, L: Last Name, N: Number of Units, G: GPA, C: Course (of teaching), R ... only one applied? SID determines Rating Rating determines Wage Rating determines Course Rating and First Name determine Wage and Hours of Work
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