Wednesday, July 05, 2006

DS Question - 11

a, b, c all are positive, is a/b > (a+c)/(b+c) ?

1. a > c

2. a > b

Answer - B

statement (1). - insufficient as we do not know the relation between a and b

statement (2). - a > b gives answer irrespective of whether ( c <> b) that, a / b > (a + c) / (b + c)

a/b > [a+c]/[b+c]

= a(b+c) > b(a+c)

= ab+ac > ab+bc

= ac > bc

=a > b