[quote="ashishjha100"][b]1[/b]. is " r/(b+w+r) > w/(b+w+r)" ? or[b] is " r > w"?[/b]
st1: r(b+w) > w(b+w)
rb+r^2-wb-w^2>0
b(r-w)+r^2-w^2>0
b(r-w)+(r-w)(r+w)>0
(r-w)(b+r+w)>0
==> r>w
So [b]A[/b].
2. Agree with reasoning by crack.gmat
3.Just draw and see .......different possible angles can be obtained from 1 & 2 statements ......(90,90,45,135) (90,90,120,60)
4. st1: we cannot say whether r is +ve or -ve as we need specific value of r. or |r| = 3|m|
st2. many sets of (m,r)...(11,13), (10,14) etc......ie average of m&r is 12
combining: m+r = 24 and r=3m solving we get r=18
5. E ...i cant explain.....just draw in a piece of paper.[/quote]
4. I agree that R can be 18, but it can also be 36, thus E is the answer. If we look at a number line we can see both scenarios that satisfy both 1 & 2:
m r
--------------------(0)-------(6)------(12)------(18)
m r
-------(-12)-------(0)------(12)----------------(36)
Hope that makes sense.
5. This one is tricky, but think of an intersection as any time that the triangle touches the circle but doesn't pass through...(kind of like an intersection on a road) with this in mind, you can see how a triangle can "intersect" the circle 1,2,3,4,5 or 6 times.
