Is |p - q| > |p - r|?
(1) |q| > |r|
(2) p < 0
|p - q| > |p - r| -----(1)
statement 1) |q| > |r|
there can be two cases here
1:
(i)P > 0 and when q and r both are greater than 0
as p is common in both we test by simple scenarios
p = 100 , q = 50 and r = 20 (q > r)
p-q = 50 and p-r = 80
(1) is not satisfied
p = 100 q = 150 and r = 130
p-q = -50
|p-q| = 50
similarly
|q-r| = 30
(1) is satisfied
we are getting contradictory answers, insuff
statement 2) p < 0
case 1 : p <0 , q>0 and r>0
lets say p = -100, q = 50 and r = 30
|p-q| = 150
|q-r| = 130
(1) is satisfied
p = -100 , q = -50 , r = -20
|p-q| = 50
|q-r| = 80
(1) is not satisfied
insuff (rule out A,B,D)
lets combine st1 and st2
lets say p = -100, q = 50 and r = 30 (q>r)
|p-q| = 150
|q-r| = 130
(1) is satisfied
p = -100 , q = -20 and r = -50 (-q > -r)
|p-q| = 80
|p-r| = 50
(1) is satisfied
ans (C)
Let me know if I have done something wrong
