Question

Q 1.Choose the correct answer of the following questions.


(i) The no. of sub–set of a set A = {a, b, c} are

(a) 5
(b) 3
(c) 7
(d) 8



(ii) The no. of non empty proper sub–set of a set b={1, 5, 7}

(a) 1
(b) 5
(c) 7
(d) 6



(iii) A and B are two disjoint set then n(A–b)= ?

(a) n(A)
(b) n(B)
(c) n(AUB)
(d) n(AnB)



(iv) no. of relation A to B if n(A)=3 and n(B)=2.

(a) 2
^3

(b) 2
^2

(c) 2
^5

(d) 64



(v) Range of the function () =
| |
(a) Real no.
(b) Integers
(c) +ve real no.
(d) +ve rational no.



(vi) If P(n) = n(n+1)(n+2). The value of P(3)

(a) 9
(b) 60
(c) 50
(d) 20



(vii) The value of − 25 + 4 −16 + 3 −9

is

(a) 30
(b) 30i
(c) –30
(d) –30i












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Answer 1

Answer:

(i) (d)

> number of elements =n therefore no of subset= 2^n

> 2^3=8

(ii) (d)

>Number of non empty proper subsets of a set with n elements is = n^2−2

>2^3=8-2=6

(iii) (a)

(iv) (d)

>no. of possible sub sets n(A*B)=3*2=6

>no. of relations from A to B 2^6=64