Q1 · hard · AI-verified
Statements:
1. All birds can fly OR all birds lay eggs. (At least one is true.)
2. Penguins are birds.
3. Penguins cannot fly.
Using strict logical deduction, which conclusion is valid?
- Penguins do not lay eggs.
- Some birds cannot fly.
- All birds lay eggs.
- Not all birds can fly, therefore no birds lay eggs.
Q2 · hard · AI-verified
Statements:
1. All mangoes are fruits.
2. All fruits are nutritious.
3. No nutritious food is junk.
Conclusions:
I. No mango is junk.
II. All nutritious foods are fruits.
III. Some junk food is nutritious.
Which conclusion(s) follow?
- I only
- I and II only
- I and III only
- None of the conclusions follow
Q3 · hard · AI-verified
Statements:
1. All doctors are engineers.
2. Some engineers are lawyers.
3. No lawyer is a teacher.
Conclusions:
I. Some doctors are lawyers.
II. No doctor is a teacher.
III. Some engineers are not teachers.
Which of the following conclusions is/are definitely true?
- I, II and III
- II and III only
- III only
- I and III only
Q4 · hard · AI-verified
In a logical deduction puzzle, five people P, Q, R, S, T make the following statements. Exactly two of these statements are true:
P: Q is lying.
Q: R is telling the truth.
R: S is lying.
S: T is telling the truth.
T: P is lying.
Who are the two people telling the truth?
- Q and S
- R and T
- P and R
- P and T
Q5 · hard · AI-verified
Statements:
1. Only those who are registered can vote.
2. Some registered people are minors.
3. No minor can vote.
Conclusions:
I. Some registered people cannot vote.
II. All voters are registered.
III. Some minors are registered.
Which conclusions follow?
- I and III only
- II and III only
- I and II only
- I, II and III all follow