Conditional Reasoning Questions

1. If a number is even, it is divisible by 2. The number 9 is not divisible by 2. What can be concluded about 9?

9 is even

9 is odd

9 may be even or odd

9 is prime

2. All metals conduct electricity. Gold is a metal. Which of the following must be true?

All conductors of electricity are metals

Gold conducts electricity

Some metals do not conduct electricity

Gold is the best conductor of electricity

3. All fruits contain seeds. Strawberries are fruits. Which of the following must be true?

All foods with seeds are fruits

Strawberries contain seeds

Some fruits are red

Strawberries are vegetables

4. All fruits grow on plants. Apples grow on plants. Which of the following must be true?

All plants produce fruits

Apples are fruits

Some fruits grow on trees

Apples are vegetables

5. If it's a weekday, the library is open. The library is open. What can be concluded?

It's a weekday

It's not a weekday

It may or may not be a weekday

The library is always open

6. If a student is in college, they have graduated high school. Tom has not graduated high school. What can be concluded about Tom?

Tom is in college

Tom is not in college

Tom may or may not be in college

Tom is in high school

7. All insects have six legs. Spiders have eight legs. Which of the following can be concluded?

Spiders are insects

Spiders are not insects

Spiders may or may not be insects

Spiders are arachnids

8. If it's snowing, then it's cold outside. It's not cold outside. What can be concluded?

It's snowing

It's not snowing

It might be snowing

The weather is unpredictable

9. All squares are rectangles. This shape is not a rectangle. Which of the following can be concluded?

This shape is a square

This shape is not a square

This shape may or may not be a square

This shape is a circle

10. All planets in our solar system orbit the sun. Earth orbits the sun. Which of the following must be true?

Earth is the only planet in our solar system

Earth is a planet in our solar system

Some planets do not orbit the sun

Earth is the largest planet in our solar system