The Number Of Distinct Rational Numbers x such That 0 < x < 1 And x = p/q, Where p, Q ∈ {1, 2, 3, 4, 5, 6}, Is:

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Question

The number of distinct rational numbers x such that 0 < x < 1 and p/q, where p, q ∈ {1, 2, 3, 4, 5, 6}, is:

Solution

Correct option is

3, 5

0 < x < 1 where p/q

Obiviously ≠ q as then p/q = 1 ; Also q > p

Note:

          [q = 4 will give x = 1/2 which has been already counted for   p = 1, similarly for = 6].

 

No. of distinct rational numbers = 11.

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