UP TGT Mathematics Real Analysis Test Series - Part 2
The set of all rational numbers Q is:
Type: MCQ • Marks: 1
The set of all rational numbers Q is:
Options
A. Uncountable
B. Finite
C. Empty
D. Countably Infinite
Explanation
Correct Answer: Option 4 (Countably Infinite). A set is countable if it can be placed in 1-to-1 correspondence with natural numbers N. Q, Z, N are countable, whereas R, (a, b), and irrationals are uncountable.
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