51). \(Z^{+} \times Z^{+}\) is
A). countable 
B). uncountable 
C). bounded 
D). none of these 

52). Every open covering of a set A has a finite I subcovering if A is
A). closed and bounded 
B). closed only 
C). bounded only 
D). none of these 

53). Uniform continuity implies continuity, The converse is true if it is
A). covering 
B). connected 
C). compact 
D). none of these 

54). The set Q is a
A). countable set 
B). uncountable set 
C). bounded set 
D). none of these 

55). Every subset of a countable sets is
A). countable 
B). uncountable 
C). bonnded 
D). none of these 

56). The union of any collection of open sets is
A). closed 
B). open 
C). bounded 
D). unbdunded 

57). Intersection of finite collection of open sets is
A). open 
B). closed 
C). bounded 
D). none of these 

58). A set s id closed \(\Leftrightarrow\)
A). \(\overline{s}=s\) 
B). \(s\ne s\) 
C). \(s < s\) 
D). \(s>s\) 

59). Compact implies
A). bounded only 
B). closed only 
C). closed and bounded 
D). none of these 

60). In Euclidean space \(R^{k}\) every cauchy sequence is
A). convergent 
B). divergent 
C). bounded 
D). none of these 
