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WorksheetsReal Analysis
Total questions: 10
Worksheet time: 7mins
Name
Class
Date
1.
Which of following sets are countable
a)
Z
b)
N
c)
R
d)
Q
2.
There does not exist a set of length zero which is uncountable
a)
True
b)
False
3.
Infinite countable set can be equivalant to its proper subset
a)
True
b)
False
4.
Every set A is equivalant to itself
a)
True
b)
False
5.
Two sets A and B are said to be equivalent,if there exists a ______from A to B
a)
injection
b)
bijection
c)
surjection
d)
homomorphism
6.
Which of the following statements is incorrect?
a)
E ,set of even numbers is countable.
b)
Z is countable
c)
N is countable
d)
R is countable.
7.
Set of natural number is
a)
bounded above
b)
Not bounded above
c)
finite
d)
None of these
8.
Which of the following number is not irrational.
a)
5
b)
2
c)
7
d)
4
9.
Let N be the set of Natural numbers and E be the set of Even numbers, then N and E are equivalent sets.
a)
True
b)
False
10.
Based on the chart, how many subsets are within the integers set?
a)
1
b)
2
c)
3
d)
none
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