## Sets Questions for Defence Exams : 2 June 2019

Dear Students, DefencePrep is providing you all with Sets questions Quiz, Maths Quiz based on Sets for Air Force Exam and other Defence Exams. The questions asked in Mathematics Section of most of the defence examinations are based on the topics from Mathematics of Class 11th and 12th.

The questions asked on topic sets in this section are complex and comparatively difficult but once attempted with high accuracy, can fetch you full marks in this topic sets section.

Practice sets questions on a daily basis helps one dive into the core concepts of a subject and thus, help her perform to the best of her ability in the real examinations. So, attempt the daily quizzes being provided by DefencePrep and score to the maximum in Mathematics Section of all sorts of defence examinations.

## Sets Questions for Defence Exams

1. A set is
A. a well-defined collection of objects
B. a group of objects
C. collection of objects
D. group of special things

2. If $A=\left\{ 2 \right\}$ which of the following statements is correct
A. $A=2$
B. $2\subset A$
C. $\left\{ 2 \right\} \in A$
D. $2 \in A$

3. If $A={1,2,3,4}$,Which of the following statements is incorrect
A. $\left\{ 2,3 \right\} \subseteq A$
B. $5\in A$
C. $\left\{ 1,3 \right\} \subseteq A$
D. $4\in A$

4. Which of the followings is a correct statement
A. $\phi =\left\{ 0 \right\}$
B. $\phi =\left\{ \phi \right\}$
C. $\phi =\left\{ \right\}$
D. $\phi =0$

5. Let $A={2,3,4,5,6}$ then the incorrect statement is
A. $\phi \subseteq A$
B. $A \subseteq A$
C. $5,6,7 \subseteq A$
D. ${2} \subseteq A$

6. Which of the following is an infinite set?
A. $\left\{ x:x\in Z,x<60 \right\}$
B. $\left\{ x:x\in Z,x<40 \right\}$
C. $\left\{ x:x\in Z,x\;is\;a\;factor\;of\;500 \right\}$
D. $\left\{ x:x\;is\;a\;whole\;number\;x<500 \right\}$

7. Which one of the following is a Finite set ?
A. $\left\{ x:x\in N \right\}$
B. $\left\{ x:x\in Z, x<40 \right\}$
C. $\left\{ x:x\in I, x<10 \right\}$
D. $\left\{ x:x\in N, x<15\right\}$

8. The number of all possible subsets of a set containing n element is
A. $n$
B. $2n$
C. ${ 2 }^{ n }$
D. $n!$

9. Number of all possible proper subsets of a set containing n elements is
A. ${ 2 }^{ n }-1$
B. $2n$
C. ${ 2 }^{ n }$
D. $n!$

10. Which one pf the following is a equivalent of set $A={1,2,3}$
A. $P={1,2,3,4}$
B. $Q={a,b,c}$
C. $R={1,m,n,O}$
D. $S={5,6,7,8}$