Hi NYCgirl15,

This DS question can be solved with a mix of basic arithmetic and TESTing VALUES.

We're told that neither Y nor Z is equal to 0. We're asked for the value of 12X/(YZ).

Fact 1: X/Y = 1/4 and 3Z = 12

Here, we know that X and Y are in the ratio of 1 to 4 and that Z = 4. Based on the way the question is written, this ratio data is sufficient. Here's the proof:

IF....

X = 1

Y = 4

Z = 4

The answer to the question is 12(1)/(16) = 3/4

IF....

X = 2

Y = 8

Z = 4

The answer to the question is 12(2)/(32) = 24/32 = 3/4

IF....

X = -3

Y = -12

Z = 4

The answer to the question is 12(-3)/(-48) = -36/-48 = 3/4

The answer to the question is ALWAYS 3/4

Fact 1 is SUFFICIENT

Fact 2: 12Y/(XZ) = 12

IF.....

X = 1

Y = 1

Z = 1

The answer to the question is 12(1)/(1) = 12

IF....

X = 1

Y = 2

Z = 2

The answer to the question is 12(1)/(4) = 3

Fact 2 is INSUFFICIENT

Final Answer:

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Rich

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