Cell Structure and Function

 

Sets, Relations and Functions: Mathematics MCQ

 

• Click here for Notes Based On Sets, Relations and Functions.

Q.1. In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus is

A) 80%

B) 40%

C) 60%

D) 70%

Q.2. If A, B and C are three sets such that  then  

A) A - B

B) B - C

C) A - C

D) none of these

Q.3. Which of the following is the empty set   (KCET 1990) 

A) 

B) 

C) 

D)  

Explanation-

 Since   given  

Q.4. In a town of 840 persons , 450 persons read Hindi, 300 read English and 200  read both . Then the number of persons who read neither is 

A) 210

B) 290

C) 180

D) 260

Q.5. Let S be the set of all points in a plane and  R be a relation on S such that for any two points a and b , aRb iff b is within 1 cm of a, then R is...

A) reflexive only 

B) reflexive and symmetric . 

C) symmetric and transitive. 

D) equivalence relation . 

Explanation-

If aRb then b will be related to a. So R is symmetric. 

Every point a is within 1 cm from a. So aRa for all a. 

Hence R is reflexive. If aRb,  a may not be 

necessarily related to c. So R is not transitive. 

Q.6. The number of non-empty subsets of set  {1, 2, 3, 4} is...

A) 15

B) 14

C) 16 

D) 17

Explanation-

Number of subsets is   which includes   .

 Number of non-empty subsets =16-1=15. 

Q.7. If A, B  and C are any three sets, then = ...

A) 

B) 

C) 

D)  

Q.8. Given the set  A = { 1, 2, 3}, B = { 3, 4}, C = { 4, 5, 6} then  [MNR 1988; Kurukshetra CEE 1996; Odisha JEE 2008]

A) { 3 }

B) {1, 2, 3, 4}

C) { 1, 2, 5, 6} 

D) { 1, 2, 3, 4, 5, 6}. 

Explanation-

BC={4},  

Q.9. If  then the power set P (A) of A is ...

A) A

B) 

C)  Ans

D) none of these 

Q.10. If A is any set, then

A) 

B) 

C) 

D) none of these