Saturday, June 24, 2017

REAL ANALYSIS QUIZ-
TOPIC- FUNCTIONS, CARDINALITY
Question 1: Let f:A->B  and g:B->C be functions such that gof is injective, then
(a)    f is injective
(b)   g is surjective
(c)    f is surjective
(d)   g is injective
Question 2 : which of the following are equivalent to the statement –     “A is a countable set”.
(a)    there exists a surjection of N onto S
(b)   there exists an injection of S into N
(c)    there exists a surjection of S onto N
(d)   there exists an  injection of N into S
Question 3 : Which of the following are true?
(a)    The set of algebraic numbers is countable.
(b)   The set of transcendental numbers  is countable.
(c)    The set of all binary sequence is uncountable .
(d)   Finite product  of countable set is countable.

Post Your answers  below in comment box. 

No comments:

Post a Comment

Publish your solutions!!

Thanks for following my blog. I am quite busy these days that's why I need your contributions. Please provide the typed solutions ...