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The group of beautiful girls is:

A) a null set
B) a finite set
C) a singleton set
D) not a set

Correct Answer:




D) not a set

Description for Correct answer:
Beautiful is relative term so, it is not well defined term. Therefore, it is not a set.

Part of solved Set theory questions and answers : >> Elementary Mathematics >> Set theory

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Similar Questions

1). R is a relation over the set of real numbers and it is given by \( \Large nm \ge 0 \). Then R is:

A). symmetric and transitive

B). reflexive and symmetric

C). a partial order relation

D). an equivalence relation

2). In a city of 55 students, the number of students studying different subjects are 23 in mathematics, 24 in physics, 19 in chemistry, 12 in mathematics and physics, 9 in mathematics and chemistry, 7 in physics and chemistry and 4 in all the three subjects. The number of students who have taken exactly one subject is:

A). 6

B). 9

C). 7

D). all of these

3). If \( \Large N_{a}=\{ an : n \epsilon N \} \), then \( \Large N_{3} \cap N_{4} \) is equal to:

A). \( \Large N_{7} \)

B). \( \Large N_{12} \)

C). \( \Large N_{3} \)

D). \( \Large N_{4} \)

4). The relation "Congruence modulo m" is:

A). reflexive only

B). transitive only

C). symmetric only

D). an equivalence relation

5). Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is:

A). 144

B). 12

C). 24

D). 30

6). Which of the four statements given below is different from the other?

A). \( \Large f:A \rightarrow B \)

B). \( \Large f:x \rightarrow f \left(x\right) \)

C). f is a mapping from A to B

D). f is a function from A to B

7). Which of the following is correct?

A). \( \Large A \cap B \subset A \cup B \)

B). \( \Large A \cap B \subseteq A \cup B \)

C). \( \Large A \cup B \subset A \cap B \)

D). None of these

8). Let \( \Large f:N \rightarrow R:f \left(x\right)=\frac{ \left(2x-1\right) }{2} \) and \( \Large g:Q \rightarrow R:g \left(x\right)=x+2 \) be two functions then \( \Large \left(gof\right) \left(\frac{3}{2}\right) \)

A). 3

B). 1

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D). None of these

9). If N be the set of all natural numbers, consider \( \Large f:N \rightarrow N:f \left(x\right)=2x \forall x \epsilon N \), then f is:

A). one-one onto

B). one-one into

C). many-one

D). one of these

10). N is the set of natural numbers. The relation R is defined on \( \Large N \times N \) as follows: \( \Large \left(a,\ b\right)R \left(c,\ d\right) \Leftrightarrow a+d=b+c \) is:

A). reflexive

B). symmetric

C). transitive

D). all of these