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  • Between two rational numbers: (A)There is no rational number (B)there is exactly one rational number (C)there are infinitely many rational numbers (D)no irrational number

Between two rational numbers:

(A) There is no rational number
(B) There is exactly one rational number
(C) there are infinitely many rational numbers
(D) no irrational number

Answers (1)

Answer: [C]

Solution.

Firstly, let us define a rational number.
Any number which can be represented in the form of p/q, where q is not equal to zero, is a rational number. So it is basically a fraction with non-zero denominator.
Examples: 4/5, 2/3, -6/7
So we can say that it is a type of real number.
Similarly, we can see that irrational numbers are real numbers which cannot be represented as simple fractions.
Examples: \sqrt{2},\sqrt{3},\pi
So we can say that between two rational numbers, there are infinitely many rational numbers.
For example, between rational numbers 5 and 4, there are rational numbers like... 4.1, 4.11, 4.12, 4.13....and so on.
Therefore, option (C) is correct.

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