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Find the number of distinct rational num...

Find the number of distinct rational numbers `x` such that `o

A

15

B

13

C

12

D

11

Text Solution

Verified by Experts

The correct Answer is:
D
As `0 lt x lt 1`, we have `p lt q`
The number of rational numbers=5+4+3+2+1=15
When p,q have a common factor, we get some rational numbers which are not different from those already counted.
There are 4 such numbers `(2)/(4),(2)/(6),(3)/(6),(4)/(6)`.
`therefore` The required of rational numbers=15-4=11
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