Two cars, \(A\) and \(B,\) each traveled a distance of \(200\) miles. Did car \(A\) use more gasoline than car \(B?\)

What we see: a Data Sufficiency yes or no question. Both cars drove \(200\) miles. Did car \(A\) use more gasoline than car \(B\)?

Step 1. Decide what controls gasoline used.
What we see: the distance is the same for both cars.
What it means: gallons used \(= \dfrac{\text{miles}}{\text{miles per gallon}}\). With the same \(200\) miles, the car that gets fewer miles per gallon burns more gas.
What we do and why: we need each car's miles per gallon, or a way to compare them. Anything else does not answer the question.

Step 2. Statement 1 alone.
What we see: car \(A\) went \(63\) miles per hour and car \(B\) went \(49\) miles per hour.
What it means: speed tells us how fast each car went, not how much gas it burned per mile. The question gives no rule linking the two.
What we do and why: car \(A\) could burn more or less gas than car \(B\). Not sufficient.

Step 3. Statement 2 alone.
What we see: car \(A\) got \(32\) miles per gallon and car \(B\) got \(27\).
What it means: car \(A\) used \(\dfrac{200}{32} = 6.25\) gallons and car \(B\) used \(\dfrac{200}{27} \approx 7.4\) gallons.
What we do and why: car \(A\) used less, so the answer is a sure "No." A sure No answers the question. Sufficient.

The trap: thinking a "No" means the statement failed. In Data Sufficiency, a statement is sufficient when it gives one sure answer, Yes or No. The second trap is the real-life idea that faster driving burns more gas; the question never gives that rule, so speed alone proves nothing.
Faster way: same distance, so the car with more miles per gallon uses less gas. No division needed.
Takeaway: On a yes or no Data Sufficiency question, a statement that always gives No is just as sufficient as one that always gives Yes.

Answer: B