w LatentStyles DefLockedState false DefUnhideWhenUsed true DefSemiHidden true DefQFormat false DefP...........

Math and Mental Ability Data Sufficiency

Use the information below to answer the question that follows

• If the distance to a destination is greater than 10 miles from home, then Matt will drive his car.

• If the distance to a destination is greater than 2 miles but less than 10 miles from home, then Matt will ride his bicycle.

• If the distance to a destination is less than 2 miles from home, then Matt will walk.

If Matt rode his bicycle to Zachary's apartment, which of the following statements could be true?

Matt's home is less than 1 mile from Zachary's apartment.

Matt and Zachary live within 2 miles of each other

Zachary's apartment is about 7 miles from Matt's home.

Zachary's apartment is at least 10 miles from Matt's home

Let’s walk through the logic step by step:

Matt’s travel rules:

- If the trip is less than 2 miles, he’ll walk.

- If it’s greater than 2 miles but less than 10 miles, he’ll ride his bicycle.

- If it’s greater than 10 miles, he drives.

Now, the options:

- Option 1: Matt's home is less than 1 mile from Zachary's apartment.

? That would mean Matt walks, not rides his bike. So, this can't be true.

- Option 2: Matt and Zachary live within 2 miles of each other.

? Again, less than 2 miles means walking, not biking.

- Option 3: Zachary's apartment is about 7 miles from Matt's home.

? Somewhere between 2 and 10 miles? That’s exactly when Matt bikes. Green tick. This is correct.

- Option 4: Zachary's apartment is at least 10 miles from Matt's home.

? "At least" 10 miles means 10 or more; if it’s more than 10, he would drive. So, this doesn't fit either.

Quick summary:

- Only Option 3 matches the "bicycle" rule.

- The others, by the rules, would mean Matt either walks or drives—not cycles.

Submit Error