Hi All,

In these types of DS questions, if you're sure if a pattern exists or not, you can prove it by TESTing VALUES and being thorough. Here's how:

We're told that Pat bought 5 pounds of apples. We're asked how many pounds of pears could have been purchased with the same amount of money.

**Note: I'm going to assume that both the cost per pound of apples and the cost per pound of pears remains constant.**

Fact 1: 1 pound of pears costs $0.5 more than 1 pound of apples.

IF....

A pound of apples cost $1, then a pound of pears costs $1.50

5 pounds of apples = $5

$5 = $1.50(X pounds of pears)

X = 3 1/3 pounds of pears

IF...

A pound of applies costs $.50, then a pound of pears costs $1

5 pounds of applies = $2.50

$2.50 = $1(X pounds of pears)

X = 2.5 pounds of pears

The answer changes based on the starting price of a pound of applies.

Fact 1 is INSUFFICIENT

Fact 2: 1 pound of pears costs 1.5 times as much as 1 pound of apples

IF...

A pound of applies costs $1, then a pound of pears costs $1.50

5 pounds of applies = $5

$5 = $1.50(X pounds of pears)

X = 3 1/3 pounds of pears

A pound of applies costs $2, then a pound of pears costs $3

5 pounds of applies = $10

$10 = $3(X pounds of pears)

X = 3 1/3 pounds of pears

A pound of applies costs $0.50, then a pound of pears costs $0.75

5 pounds of apples = $2.50

$2.50 = $0.75(X pounds of pears)

X = 3 1/3 pounds of pears

In EVERY situation, we end up with the SAME number of pounds of pears.

Fact 2 is SUFFICIENT

Final Answer:

GMAT assassins aren't born, they're made,

Rich

_________________

# Rich Cohen

Co-Founder & GMAT Assassin

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