Scroll:Theory of sets >> Symmetric Difference of sets >> saq (4159)


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)  

 Find  A∩B for the following set

A = {0,1,4,6,8}

B = {-4,-2,0,4,6,7}

A∩B  =



Answer:_______________




2)  

 If A = {x : x is a multiple of 2, x<{20} and x€Ñ} and y = {x:x = 4n, x< 20 and n€w}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find XUY and X∩Y {0,4,8,12,16,20}

XUY =

X∩Y  =  



Answer:_______________




3)  

 If A = {x : x is a multiple of 5, x<30 and x€Ñ}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find AUB and A∩B  

AUB =

A∩B  =  


Answer:_______________




4)  

 Find A ∪B  for the following set

A = {0,1,2,4,6}

B = {-6,-4,0,2,4,5}

A∪B  =



Answer:_______________




5)  

 Find  A∩B for the following set

A = {0,1,3,5,7}

B = {-4,-2,0,3,5,6}

A∩B  =



Answer:_______________




6)  

 If A = {x : x is a multiple of 2, x<{20} and x€Ñ} and y = {x:x = 4n, x< 20 and n€w}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find XUY and X∩Y {0,4,8,12,16,20}

XUY =

X∩Y  =  



Answer:_______________




7)  

 If A = {x : x is a multiple of 5, x<30 and x€Ñ}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find AUB and A∩B  

AUB =

A∩B  =  


Answer:_______________




8)  

 Find A ∪B  for the following set

A = {0,1,3,5,7}

B = {-6,-4,0,3,5,6}

A∪B  =



Answer:_______________




9)  

 Find  A∩B for the following set

A = {0,1,3,5,7}

B = {-6,-4,0,3,5,6}

A∩B  =



Answer:_______________




10)  

 If A = {x : x is a multiple of 2, x<{20} and x€Ñ} and y = {x:x = 4n, x< 20 and n€w}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find XUY and X∩Y {0,4,8,12,16,20}

XUY =

X∩Y  =  



Answer:_______________




 

1)  

 Find  A∩B for the following set

A = {0,1,4,6,8}

B = {-4,-2,0,4,6,7}

A∩B  = Answer: 0,4,6


SOLUTION 1 :

A = {0,1,4,6,8}

B = {-4,-2,0,4,6,7}

A∪B  = {0,4,6}



2)  

 If A = {x : x is a multiple of 2, x<{20} and x€Ñ} and y = {x:x = 4n, x< 20 and n€w}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find XUY and X∩Y {0,4,8,12,16,20}

XUY = Answer: 0,2,4,6,8,10,12,14,16,18,20

X∩Y  =   Answer: 4,8,12,16,20


SOLUTION 1 :

A = {2,4,6,8,10,12,14,16,18,20}

B = {0,4,8,12,16,20}

XUY = {0,2,4,6,8,10,12,14,16,18,20}

X∩Y  = {4,8,12,16,20}

 



3)  

 If A = {x : x is a multiple of 5, x<30 and x€Ñ}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find AUB and A∩B  

AUB = Answer: 1,3,5,7,10,12,15,18,20,25,30

A∩B  =   Answer: 10,15,25


SOLUTION 1 :

A = {5,10,15,20,25,30}

B = {1,3,7,10,12,15,18,20,25,30}

AUB = {1,3,5,7,10,12,15,18,20,25,30}

A∩B  = {10,15,25}

 



4)  

 Find A ∪B  for the following set

A = {0,1,2,4,6}

B = {-6,-4,0,2,4,5}

A∪B  = Answer: 0,-6,-4,1,2,4,5,6


SOLUTION 1 :

A = {0,1,2,4,6}

B = {-6,-4,0,2,4,5}

A∪B  = {0,-6,-4,1,2,4,5,6}



5)  

 Find  A∩B for the following set

A = {0,1,3,5,7}

B = {-4,-2,0,3,5,6}

A∩B  = Answer: 0,3,5


SOLUTION 1 :

A = {0,1,3,5,7}

B = {-4,-2,0,3,5,6}

A∪B  = {0,3,5}



6)  

 If A = {x : x is a multiple of 2, x<{20} and x€Ñ} and y = {x:x = 4n, x< 20 and n€w}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find XUY and X∩Y {0,4,8,12,16,20}

XUY = Answer: 0,2,4,6,8,10,12,14,16,18,20

X∩Y  =   Answer: 4,8,12,16,20


SOLUTION 1 :

A = {2,4,6,8,10,12,14,16,18,20}

B = {0,4,8,12,16,20}

XUY = {0,2,4,6,8,10,12,14,16,18,20}

X∩Y  = {4,8,12,16,20}

 



7)  

 If A = {x : x is a multiple of 5, x<30 and x€Ñ}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find AUB and A∩B  

AUB = Answer: 1,3,5,7,10,12,15,18,20,25,30

A∩B  =   Answer: 10,15,25


SOLUTION 1 :

A = {5,10,15,20,25,30}

B = {1,3,7,10,12,15,18,20,25,30}

AUB = {1,3,5,7,10,12,15,18,20,25,30}

A∩B  = {10,15,25}

 



8)  

 Find A ∪B  for the following set

A = {0,1,3,5,7}

B = {-6,-4,0,3,5,6}

A∪B  = Answer: 0,-6,-4,1,3,5,6,7


SOLUTION 1 :

A = {0,1,3,5,7}

B = {-6,-4,0,3,5,6}

A∪B  = {0,-6,-4,1,3,5,6,7}



9)  

 Find  A∩B for the following set

A = {0,1,3,5,7}

B = {-6,-4,0,3,5,6}

A∩B  = Answer: 0,3,5


SOLUTION 1 :

A = {0,1,3,5,7}

B = {-6,-4,0,3,5,6}

A∪B  = {0,3,5}



10)  

 If A = {x : x is a multiple of 2, x<{20} and x€Ñ} and y = {x:x = 4n, x< 20 and n€w}

B = {1,3,7,10,12,15,18,20,25,30}                         

Find XUY and X∩Y {0,4,8,12,16,20}

XUY = Answer: 0,2,4,6,8,10,12,14,16,18,20

X∩Y  =   Answer: 4,8,12,16,20


SOLUTION 1 :

A = {2,4,6,8,10,12,14,16,18,20}

B = {0,4,8,12,16,20}

XUY = {0,2,4,6,8,10,12,14,16,18,20}

X∩Y  = {4,8,12,16,20}