Free Printable Set , Relation ,Mapping

1.

Q1. If A= {1,2,5,6} and B = { 1,2,3 }

then (A × B) ∩ (B × A) is...

a)

(a) {(1,1) ,(1,2) ,(2,1) ,(2,2)}

b)

(b) {(1,1) ,(2,2) ,(5,1) ,(1,6)}

c)

(c) {(1,1) ,(2,1) ,(6,1) ,(3,2)}

d)

(d) {(2,3) ,(3,1) ,3,2) ,(5,3)}

2.

Q2. On the set R of real numbers we define x∽y iff xy ≧ 0 then the relation ∼ is

a)

(a) Reflexive but not Symmetric

b)

(b) Symmetric but not Reflexive

c)

(c) Transitive but not Reflexive

d)

(d) Reflexive & Symmetric but not Transitive

3.

Q3. The Mapping f : R → R

given by f(x) = x² is...

a)

(a) One to one and Onto

b)

(b) One to one but not Onto

c)

(c) neither one to one nor onto

d)

(d) onto but one to one

4.

Q4. If X_n be a set with n elements ,

where n is any finite cardinal number ,

then the cardinal number of its power set P(X_n) is ...

a)

(a) 2^n-1

b)

(b) 2ⁿ⁺¹

c)

(c) 2ⁿ

d)

(d) n

5.

Q5. The number of relations defined on the set {1,2,3,4} is ...

a)

(a) 2⁴

b)

(b) 2¹⁶

c)

(c) 2³

d)

(d) 2²

6.

Q6. Let X and Y be sets each having n elements .

Then the number of bijections from X to Y is...

a)

(a) n

b)

(b) n²

c)

(c) n!

d)

(d) nⁿ

7.

Q7. Let S be a non empty finite set.

Then a mapping f : S → S is

a)

(a) injective iff it is surjective

b)

(b) may be injective but not surjective

c)

(c) may be surjective but not injective

d)

(d) must be bijective

8.

Q8. If A = { 1,2,3,4,5 } , then number of subsets of A

which contain 2 but not 4 is ...

a)

(a) 2

b)

(b) 4

c)

(c) 6

d)

(d) 8

9.

Q9. Let A = { x ∊ R : -1 ≦ x ≦ 1 } and

f : A → A be a function defined by f(x) = x|x| .

Then f is...

a)

(a) injective but not surjective

b)

(b) surjective but not injective

c)

(c) neither injective nor surjective

d)

(d) bijective

10.

Q10. Which of the following statement is correct...

(i) A function f : R → R is injective iff every horizontal line intersects its graph atmost once .

(ii) A function f : R → R is surjective iff every horizontal line intersects its graph at least once .

(iii) A function f : R → R is bijective iff every horizontal line intersects its graph exactly once .

a)

(a) Only (i) & (ii)

b)

(b) Only (iii)

c)

(c) None of these

d)

(d) All of these

11.

Q11. Which of the following is a function

(i) y²= 4x

(ii) x²= 8y

(iii) x²+ y²= 4

a)

(a) Only (i) & (iii)

b)

(b) Only (ii)

c)

(c) None of these

d)

(d) All of these

12.

Q12. The function f : R → R

defined by f(x) = x² -3x+2 , x ∈ R is...

a)

(a) Onto

b)

(b) Into

c)

(c) Into & Many one

d)

(d) Onto & One-One

13.

Q13. Which of the following is /are false ?

(i) If A & B have n elements in common ,

then A × B and B × A will have n² elements in common

(ii) If set A have 5 elements ,

then the number of subsets of A will be 32.

(iii) If Set A = { Φ ,{Φ} } , then the power set is { Φ , {Φ} ,{{Φ} , {Φ,{Φ}}

a)

(a) Only (i)

b)

(b) (i) & (ii)

c)

(c) None of these

d)

(d) All of these

14.

Q14. It is given that n (P(S))= 64 ,

where P(S) is power set of S , then n(S) is...

a)

(a) 2

b)

(b) 4

c)

(c) 8

d)

(d) 6

15.

Q15. Let A and B have 4 and 8 elements respectively.

What can be the maximum and minimum number of elements in A X B ?

a)

(a) 16 and 64

b)

(b) 32 and 32

c)

(c) 32 and 64

d)

(d) 64 and 64

Set , Relation ,Mapping

Total questions: 15

Worksheet time: 8mins

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