Set Theory and Algebra MCQ - Sets

126:  

The symmetric difference of sets A and B is

A.

(A - B) ∪ (B - A)

B.

(A ∪ B) - (A ∩ B)

C.

(A - B) ∩ (B - A)

D.

(A ∩ B) - (A ∪ B)

 
 

Option: B

Explanation :

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127:  

In a classroom containing 28 people, there are 18 people who speak English, 15 people who speak Hindi and 22 people who speak Telugu, 9 people speak both English and Hindi, while 1 people speak both Hindi and Telugu. Further 13 persons speak both Telugu and English. How many people speak all three languages?

A.

9

B.

C.

7

D.

6

 
 

Option: D

Explanation :

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128:  

If [x] denotes integer part of the real number, then the function f(x) = x - [x] is/an

A.

even function

B.

odd function

C.

periodic function

D.

constant

 
 

Option: B

Explanation :

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129:  

If x, y are real numbers such that ordered pairs  (x + y, x -y) and (2x + 3y, 3x - 2y) are equal, then (x, y) is equal to

A.

(1, 1)

B.

(2, 3)

C.

(3, - 2)

D.

(0, 0)

 
 

Option: D

Explanation :

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130:  

If Q be the set of non-zero rational numbers and  the relation R be defined over the set Q by  xRy if x = 1/y, x, y ∈ Q, then

A.

R is an equivalence relation

B.

R is relexive

C.

R is symmetric

D.

R is transitive

 
 

Option: C

Explanation :

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