nops[2]
find no. of distinct rational nos. x such that 0<x<1 and x=p/q where p,qε {1,2..6}
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8 Answers
if p=1, the rational numbers are for each q =2, 3, 4, 5, 6
if p=2, the rational numbers (different from the above ) are for q=3, 5
If p=3, the unique rational numbers are for q=4, 5
If p=4, the unique rational numbers are for q=5
if p=5, the unique rational numbers are for all q=6 only
if p=6, No solution...
so in all there are 11 rationals..
I dont knwo why it should be 13!
Nishant Sir : p=q=1 case is not possible since x ≠1
p < q since x<1
So. total no of cases would be
p q
1 2,3,4,5,6
2 3,5
3 4,5
4 5
5 6
total = 11
Yes I just saw that :P [3]
aaj ka class lagta hai bhahut heavy ho gaya :D
abhee bhee i am gettin 11