What do we actually know?
Use the statements given. Leave outside assumptions at the door.
Ten questions, with the answers explained. Try them in your head, then open each answer when you're ready.
Play this quiz →QUESTION 1 / 10
All wugs are blue. This object is a wug. What must be true?
- It is round
- It is heavy
- It is blue
- It is not blue
Show answer & explanation+
It is blue
The rule applies to every wug, including this one.
QUESTION 2 / 10
All glims are quiet. Ava is quiet. Must Ava be a glim?
- Only if Ava is tall
- No
- Yes
- Only at night
Show answer & explanation+
No
Quiet things need not be glims. The rule only goes from glim to quiet.
QUESTION 3 / 10
No wooden tokens are red. This token is red. What follows?
- It is metal
- It is not wooden
- It is square
- It is wooden
Show answer & explanation+
It is not wooden
A red token cannot belong to a group with no red members. Its actual material remains unknown.
QUESTION 4 / 10
Some larks in a fictional flock are green. Must every lark in that flock be green?
- No
- Only the smallest
- Only the oldest
- Yes
Show answer & explanation+
No
Some establishes at least one, not every member.
QUESTION 5 / 10
Every item in Box A is a coin. A key is found on the table. Must it come from Box A?
- Only if it is silver
- Yes
- Only if it is small
- No
Show answer & explanation+
No
Box A contains only coins, so the key cannot have come from it under the stated rule.
QUESTION 6 / 10
All red cards have stars. A card has no star. What must be true?
- It is red
- It has a circle
- It is blue
- It is not red
Show answer & explanation+
It is not red
A red card would have a star. No star rules out red, but does not identify another color.
QUESTION 7 / 10
If the bell rings, the door opens. The bell rings. What must happen?
- The door opens
- The door locks
- A light breaks
- Nothing follows
Show answer & explanation+
The door opens
The condition has been met, so its stated consequence follows.
QUESTION 8 / 10
If it rains, Sam takes an umbrella. Sam takes an umbrella. Must it be raining?
- No
- Only on weekends
- Yes
- Only before noon
Show answer & explanation+
No
Sam might take an umbrella for another reason. The rule does not say only if it rains.
QUESTION 9 / 10
No amber beads are square. This bead is square. Can it be amber under the rule?
- Only if polished
- Yes
- Only if large
- No
Show answer & explanation+
No
Square and amber do not overlap under the stated rule.
QUESTION 10 / 10
All members of a club have a badge. Jules has no badge. Can Jules be a member under that rule?
- No
- Only on Monday
- Only as treasurer
- Yes
Show answer & explanation+
No
Membership requires a badge. Without one, Jules cannot satisfy the rule.