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Questions by Arjun

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1

asked in Algorithms 4 days ago

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1 answer

2

qwer: 1
What is the Cardinality of the Power set of the set $\{0,1,2\}$? $8$ $6$ $7$ $9$

asked in Algorithms Apr 3

7 views

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1 answer

3

qwer: 2
The symmetric difference of sets $\text{A}=\{1,2, 3,4, 5, 6, 7, 8\}$ and $\text{B}= \{1, 3, 5, 6, 7,8,9\}$ is: $\{1, 3, 5, 6, 7,8\}$ $\{2, 4, 9\}$ $\{2, 4\}$ $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$

asked in Algorithms Apr 3

10 views

0 votes

1 answer

4

qwer: 3
If $A=\{x,y,z\}$ and $B=\{u,v,w,x\}, $ and the universe is $\{s,t,u,v,w,x,y,z\}$. Then $(A \cup \overline{B}) \cap (A \cap B)$ is equal to $\{u,v,w,x\}$ $\{ \: \}$ $\{u,v,w,x,y,z\}$ $\{u,v,w\}$

asked in Algorithms Apr 3

8 views

0 votes

1 answer

5

qwer: 4
The power set of the set $\{ \Phi \}$ is $\{ \Phi \}$ $\{ \Phi, \{ \Phi \} \}$ $\{ 0 \}$ $\{ 0, \Phi , \{ \Phi \} \}$

asked in Algorithms Apr 3

9 views

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1 answer

6

qwer: 5
Let $A, B$ be two sets. Let $\bar{A}$ denote the complement of set $A$ (with respect to some fixed universe), and $( A - B)$ denote the set of elements in $A$ which are not in $B$. Set $(A - (A - B))$ is equal to: $B$ $A\cap \bar{B}$ $A - B$ $A\cap B$

asked in Algorithms Apr 3

9 views

0 votes

1 answer

7

qwer: 6
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

asked in Algorithms Apr 3

13 views

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1 answer

8

qwer: 7
Power set of empty set has exactly how many subset(s) One Two Zero Three

asked in Algorithms Apr 3

9 views

0 votes

1 answer

9

qwer: 8
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 $S = \mathcal{P}(T))$.

asked in Algorithms Apr 3

12 views

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10

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 $\{2,3\} \subseteq A \cup B$.

asked in Algorithms Apr 3

4 views

0 votes

0 answers

11

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 $\{2,3\} \subseteq B$.

asked in Algorithms Apr 3

4 views

1 vote

2 answers

12

GATE DS&AI 2024 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [sick $\rightarrow$ infirm $\rightarrow$ moribund] is analogous to [silly $\rightarrow \_\_\_\_\_\_\_ \longrightarrow$ daft]. Which one of the given options is appropriate to fill the blank? frown fawn vein vain

asked in Verbal Aptitude Feb 16

3.9k views

0 votes

4 answers

13

GATE DS&AI 2024 | GA Question: 2
The $15$ parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is $4$ $3$ $5$ $6$

asked in Analytical Aptitude Feb 16

3.1k views

0 votes

4 answers

14

GATE DS&AI 2024 | GA Question: 3
How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number? $24$ $48$ $72$ $12$

asked in Quantitative Aptitude Feb 16

1.8k views

3 votes

3 answers

15

GATE DS&AI 2024 | GA Question: 4
The sum of the following infinite series is \[ 2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots \] $11 / 3$ $7 / 2$ $13 / 4$ $9 / 2$

asked in Quantitative Aptitude Feb 16

1.4k views

1 vote

4 answers

16

GATE DS&AI 2024 | GA Question: 5
In an election, the share of valid votes received by the four candidates $\text{A, B, C}$, and $\mathrm{D}$ is represented by the pie chart shown. The total number of votes cast in the election were $1,15,000$, out of which $5,000$ were invalid ... of valid votes received by the candidates $\mathrm{B}$ and $\mathrm{C}$ is $45,000$ $49,500$ $51,750$ $54,000$

asked in Quantitative Aptitude Feb 16

1.5k views

1 vote

2 answers

17

GATE DS&AI 2024 | GA Question: 6
Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk. Based on the given passage, which of ... Digestion of dairy milk is essential for human beings. In human beings, digestion of dairy milk resulted from a mutated gene.

asked in Analytical Aptitude Feb 16

1.4k views

0 votes

4 answers

18

GATE DS&AI 2024 | GA Question: 7
The probability of a boy or a girl being born is $1 / 2$. For a family having only three children, what is the probability of having two girls and one boy? $3 / 8$ $1 / 8$ $1 / 4$ $1 / 2$

asked in Quantitative Aptitude Feb 16

2.3k views

0 votes

2 answers

19

GATE DS&AI 2024 | GA Question: 8
Person $1$ and Person $2$ invest in three mutual funds $\text{A, B}$, and $\text{C}$. The amounts they invest in each of these mutual funds are given in the table. \begin{array}{|c|c|c|c|} \hline & \text{Mutual fund A} & \text{Mutual fund B} ... $\mathrm{A}$? $7.5 \%$ $10 \%$ $15 \%$ $20 \%$

asked in Quantitative Aptitude Feb 16

1.2k views

0 votes

1 answer

20

GATE DS&AI 2024 | GA Question: 9
Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is

asked in Spatial Aptitude Feb 16

1.2k views

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