A and B alone can easily be ruled out.
Noe lets check the fight between C and E
Qn says
Women:child = 5:2
A says
child:men = 5:11
Now need to find a common equation
containing all 3 ratios
multiply first quation by 5
Women:child = 25:10
multiply second equation by 2
child:men = 10:22
women

men = 25 : 10 : 22
now if you look carefully
now of womens will be 25 or 50 or 75 or....
B says womens are less than 30
so only option left is 25
hence with A and B we can solve the question...
Answer: C
Do let me know if you need reasons to eliminate A / B alone....