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 |
|
