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Q.

How many rational numbers are there between two rational numbers?


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a

1

b

0

c

infinite

d

100  

answer is C.

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Detailed Solution

To find the number of rational numbers between two rational numbers.
Consider a and b as rational numbers. Then a rational number n1 can be find in between a and b such that a<n1<b using the formula n1=a+b2 .
Similarly, again we can find a rational number between a and n1 and n1 and b and so on.
Hence, between any two distinct rational numbers there are infinitely many rational numbers.
Therefore, option 3 is correct.
 
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