Scroll:Theory of sets >> set operations using venn diagram >> saq (4164)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 If A and B are two sets containing 14 and 29 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
29
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




2)  

 If A and B are two sets containing 14 and 21 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
21
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




3)  

 If A and B are two sets containing 15 and 28 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
15
28
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




4)  

 If A and B are two sets containing 16 and 30 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
16
30
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




5)  

 If A and B are two sets containing 14 and 20 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
20
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




6)  

 If A and B are two sets containing 17 and 28 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
17
28
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




7)  

 If A and B are two sets containing 14 and 27 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
27
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




8)  

 If A and B are two sets containing 15 and 25 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
15
25
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




9)  

 If A and B are two sets containing 14 and 26 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
26
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




10)  

 If A and B are two sets containing 16 and 29 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
16
29
 
 
 
 
 

Minimum n(AUB) =

maximum n(AUB) =


Answer:_______________




 

1)  

 If A and B are two sets containing 14 and 29 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
29
 
 
 
 
 

Minimum n(AUB) = Answer: 29

maximum n(AUB) = Answer: 43


SOLUTION 1 :

 n(A) = 14

n(B) = 29

Hint : minimum = maximum of 14 and 29 = 29

minimum n(AUB) = 29

maximum n(AUB) = 14 + 29  = 43

 



2)  

 If A and B are two sets containing 14 and 21 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
21
 
 
 
 
 

Minimum n(AUB) = Answer: 21

maximum n(AUB) = Answer: 35


SOLUTION 1 :

 n(A) = 14

n(B) = 21

Hint : minimum = maximum of 14 and 21 = 21

minimum n(AUB) = 21

maximum n(AUB) = 14 + 21  = 35

 



3)  

 If A and B are two sets containing 15 and 28 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
15
28
 
 
 
 
 

Minimum n(AUB) = Answer: 28

maximum n(AUB) = Answer: 43


SOLUTION 1 :

 n(A) = 15

n(B) = 28

Hint : minimum = maximum of 15 and 28 = 28

minimum n(AUB) = 28

maximum n(AUB) = 15 + 28  = 43

 



4)  

 If A and B are two sets containing 16 and 30 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
16
30
 
 
 
 
 

Minimum n(AUB) = Answer: 30

maximum n(AUB) = Answer: 46


SOLUTION 1 :

 n(A) = 16

n(B) = 30

Hint : minimum = maximum of 16 and 30 = 30

minimum n(AUB) = 30

maximum n(AUB) = 16 + 30  = 46

 



5)  

 If A and B are two sets containing 14 and 20 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
20
 
 
 
 
 

Minimum n(AUB) = Answer: 20

maximum n(AUB) = Answer: 34


SOLUTION 1 :

 n(A) = 14

n(B) = 20

Hint : minimum = maximum of 14 and 20 = 20

minimum n(AUB) = 20

maximum n(AUB) = 14 + 20  = 34

 



6)  

 If A and B are two sets containing 17 and 28 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
17
28
 
 
 
 
 

Minimum n(AUB) = Answer: 28

maximum n(AUB) = Answer: 45


SOLUTION 1 :

 n(A) = 17

n(B) = 28

Hint : minimum = maximum of 17 and 28 = 28

minimum n(AUB) = 28

maximum n(AUB) = 17 + 28  = 45

 



7)  

 If A and B are two sets containing 14 and 27 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
27
 
 
 
 
 

Minimum n(AUB) = Answer: 27

maximum n(AUB) = Answer: 41


SOLUTION 1 :

 n(A) = 14

n(B) = 27

Hint : minimum = maximum of 14 and 27 = 27

minimum n(AUB) = 27

maximum n(AUB) = 14 + 27  = 41

 



8)  

 If A and B are two sets containing 15 and 25 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
15
25
 
 
 
 
 

Minimum n(AUB) = Answer: 25

maximum n(AUB) = Answer: 40


SOLUTION 1 :

 n(A) = 15

n(B) = 25

Hint : minimum = maximum of 15 and 25 = 25

minimum n(AUB) = 25

maximum n(AUB) = 15 + 25  = 40

 



9)  

 If A and B are two sets containing 14 and 26 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
14
26
 
 
 
 
 

Minimum n(AUB) = Answer: 26

maximum n(AUB) = Answer: 40


SOLUTION 1 :

 n(A) = 14

n(B) = 26

Hint : minimum = maximum of 14 and 26 = 26

minimum n(AUB) = 26

maximum n(AUB) = 14 + 26  = 40

 



10)  

 If A and B are two sets containing 16 and 29 elements respectively, then find the minmum and maximum number of elements in AUB 

A
B
16
29
 
 
 
 
 

Minimum n(AUB) = Answer: 29

maximum n(AUB) = Answer: 45


SOLUTION 1 :

 n(A) = 16

n(B) = 29

Hint : minimum = maximum of 16 and 29 = 29

minimum n(AUB) = 29

maximum n(AUB) = 16 + 29  = 45