Sets And Functions Chapter 5 Math 10th Class MCQ Test Preparation Federal

Total Questions: 15

Total Marks: 15

Time: 15 Mins

Question # 1

A function is said to be _____ if and only if f ( a ) = f ( b ) implies that a = b for all a and b in the domain of f.

Question # 2

The function from set A to set B is _____. (see the image)

A general function
Injective, but not surjective (one to one)
Surjective, but not injective (onto)
Bijective (a one-to-one correspondence)
Surjective only

Question # 3

If A × B = { ( 4 , − 5 ) , ( 7 , − 5 ) , ( 11 , − 5 ) , ( 4 , 3 ) , ( 7 , 3 ) , ( 11 , 3 ) } , then Which of the following is not a binary relation of A × B ?

{ ( 4 , − 5 ) , ( 7 , − 5 ) , ( 11 , − 5 ) , ( 4 , 3 ) , ( 7 , 3 ) , ( 11 , 3 ) }
{ ( 4 , − 5 ) , ( 7 , − 5 ) , ( 11 , − 5 ) , ( 11 , 3 ) }
{ ( 7 , − 1 ) , ( 11 , − 5 ) , ( 4 , 3 ) }
{ ( 4 , − 5 ) , ( 11 , − 5 ) , ( 7 , 3 ) , ( 11 , 3 ) }
{ ( 4 , − 5 ) , ( 7 , − 5 ) , ( 11 , − 5 ) }

Question # 4

If A = { 1 , 2 , 3 , 4 } , B = { x | x is an even natural number less than 10 } and C = { 1 , 2 , 5 , 7 } , then A ∪ ( B ∪ C ) = ?

{ x | x is an natural number less than 9 }
{ x | x is an natural number less than 8 }
{ x | x is an natural number less than 7 }
{ x | x is an natural number less than 5 }
{ x | x is an natural number less than 10 }

Question # 5

If universal set U = { x | x is a whole number less than 12 } , A = { 2 , 3 , 5 , 7 , 11 } , B = { x | x is a natural number less than 9 } , then ( B ∪ A )c = ?

Question # 6

The function f(x) = x3 is bijection from R to R. Is it True or False?