aiming4mba
Of the 25 cars sold at a car dealership, some had auto transmission and some had antilock brakes. How many of the cars had auto transmission but not antilock brakes?
1) All of the cars that had antilock brakes also had auto transmission
2) 2 of the cars had neither auto transmission nor antilock brakes.
Total = {antilock} + {auto transmission} - {both} + {neither} -->
25 = {antilock} + {auto transmission} - {both} + {neither}.
Question:
{auto transmission} - {both} = ?(1) All of the cars that had antilock brakes also had auto transmission -->
{antilock} = {both} -->
25 = {both} + {auto transmission} - {both} + {neither} -->
25 = {auto transmission} + {neither}. Not sufficient to calculate
{auto transmission} - {both}(2) 2 of the cars had neither auto transmission nor antilock brakes -->
{neither} = 2. Not sufficient to calculate
{auto transmission} - {both}.
(1)+(2)
25 = {auto transmission} + {neither} and
{neither} = 2 -->
{auto transmission} = 23, but we still don't know the numerical value of
{antilock} (or
{both}) to calculate
{auto transmission} - {both}. Not sufficient.
Answer: E.