Match List - I with List - II on the basis of relationship. Choose the correct answer from the options given below :List - I List - II A. Complement operation I. all possible subsets B. Power set operation II. tuples (ordered) C. Cartesian product III. universal set D. Union and intersection IV. difference (symmetric)
Matching Set Operations with Their Descriptions
This question requires matching the set operations in List-I with their corresponding definitions or related concepts in List-II.
Explanation of Matches
We analyze each item in List-I:
- A. Complement operation: The complement of a set (e.g., $A^c$) consists of all elements within the universal set (III) that are not in the set itself.
- B. Power set operation: The power set of a set S, denoted $P(S)$, is the collection of all possible subsets (I) of S, including the empty set and S itself.
- C. Cartesian product: The Cartesian product of two sets, such as $A \times B$, yields a set of tuples (ordered) pairs $(a, b)$ where $a$ is from set A and $b$ is from set B (II).
- D. Union and intersection: These are fundamental binary set operations. The correct answer pairs this with difference (symmetric) (IV), which is also a key set operation often discussed alongside union and intersection.
Final Matched Pairs
Based on the analysis and the provided options, the correct matching is:
- A matches with III (universal set)
- B matches with I (all possible subsets)
- C matches with II (tuples (ordered))
- D matches with IV (difference (symmetric))
This corresponds to the choice: A-III, B-I, C-II, D-IV.
Similar Questions
Match List - I with List - II. Suppose A, B and C are three non-empty sets.
List - I List - II A. De-Morgan's Law I. $A \setminus B = A \cap B^C$ B. Associative Law II. $(A \cup B)^C = A^C \cap B^C$ C. Distributive Law III. $A \cup (B \cap C) = (A \cup B) \cap (A \cup C)$ D. Difference of sets Law IV. $(A \cup B) \cup C = A \cup (B \cup C)$ Choose the correct answer from the options given below :
Match List - I with List - II.
List - I List - II A. Domain of function $f(x) = \frac{1}{\sqrt{x^2 - 1}}$ I. $[2, \infty)$ B. Range of function $f(x) = \frac{1}{\sqrt{x^2 - 1}}$ II. $(-\infty, -1) \cup (1, \infty)$ C. Domain of function $f(x) = \sqrt{x - 2}$ III. $(0, \infty)$ D. Range of function $f(x) = \sqrt{x - 2}$ IV. $[0, \infty)$ Choose the correct answer from the options given below :
- In a small factory one supervisor and four labourers work. The labourers draw salary of ₹ 5000/- per month each while supervisor gets ₹ 15000/- per month. Which of the following are mean and mode of the salaries ?
- When a Coin is tossed twice which of the following is the probability of getting both tails ?
- When a dice of six faces {1, 2, 3, 4, 5, 6} is thrown, which of the following is the probability of getting even number ?
- Which of the following in the variance of the data ?
6, 8, 10, 12, 14, 16, 18, 20, 22, 24 - For the given dataset :
$\begin{array}{cc} x & f(x) \\ \hline 2 & 1/4 \\ 3 & 1/2 \\ 4 & 1/4 \end{array}$
Which of the following is the expected value of $x$ ? - When a Coin having head and tail is thrown, which of the following is probability of not getting head ?
- The standard deviation for the following data is :
$\begin{array}{|c|c|c|c|c|c|} \hline x_i & 3 & 8 & 13 & 18 & 23 \\ \hline f_i & 7 & 10 & 15 & 10 & 6 \\ \hline \end{array}$ - For two distributions the standard deviations are 21 and 14 respectively and their coefficients of variations are 60 and 70 respectively. Which of the following is correct for their arithmetic means ?
Important Questions from Mixed Topic (CUET PG)
- Who was the founder of Bolshevik Communist party?
- What is the key guide to statecraft in the realist tradition?
- Chronologically arrange the events in the Cold War period.
A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
Choose the correct answer from the options given below: Morgenthau's principles of political realism are:
A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
