Logical Reasoning Quest

Froggy Jumps

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About this activity

Mind-bending logic

Created by

Sevinch Boltaboyeva

Uzbekistan

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Froggy Jumps Logical Reasoning QuestOnline version Mind-bending logic by Sevinch Boltaboyeva 1 If p→q and q→r, what is p→r? a r implies p b p implies r c p implies q 2 All squares are shapes; no shapes are circles. What about squares and circles? a No squares are circles b All squares are circles c Some squares are circles 3 What is the contrapositive of p→q? a q→p b ¬q→¬p c ¬p→¬q 4 If rain implies I carry an umbrella, what is the contrapositive? a If I don’t carry an umbrella, it didn’t rain b If I carry an umbrella, it doesn’t rain c If it rains, I don’t carry an umbrella 5 If P or Q is true and P is false, what can we conclude about Q? a P is true b Both P and Q are false c Q is true 6 P AND NOT P is always what value? a Depends on P b False (contradiction) c True 7 All birds can fly. Penguins are birds. Is the conclusion ‘penguins can fly’ valid? a Yes, it’s valid b Only if penguins are exceptional c No, it’s a fallacy 8 If A→B, B→C, C→D, then A→D is what? a False b Depends on something else c True 9 All A are B; All C are A; Therefore All C are B. This is a what? a Valid syllogism b Invalid argument c Ambiguous statement 10 Sequence: 2, 4, 8, 16. What is next? a 24 b 64 c 32

Froggy Jumps

Logical Reasoning QuestOnline version

Mind-bending logic

by Sevinch Boltaboyeva

If p→q and q→r, what is p→r?

r implies p

p implies r

p implies q

All squares are shapes; no shapes are circles. What about squares and circles?

No squares are circles

All squares are circles

Some squares are circles

What is the contrapositive of p→q?

q→p

¬q→¬p

¬p→¬q

If rain implies I carry an umbrella, what is the contrapositive?

If I don’t carry an umbrella, it didn’t rain

If I carry an umbrella, it doesn’t rain

If it rains, I don’t carry an umbrella

If P or Q is true and P is false, what can we conclude about Q?

P is true

Both P and Q are false

Q is true

P AND NOT P is always what value?

Depends on P

False (contradiction)

True

All birds can fly. Penguins are birds. Is the conclusion ‘penguins can fly’ valid?

Yes, it’s valid

Only if penguins are exceptional

No, it’s a fallacy

If A→B, B→C, C→D, then A→D is what?

False

Depends on something else

True

All A are B; All C are A; Therefore All C are B. This is a what?

Valid syllogism

Invalid argument

Ambiguous statement

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Logical Reasoning Quest

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Logical Reasoning QuestOnline version

by Sevinch Boltaboyeva

If p→q and q→r, what is p→r?

All squares are shapes; no shapes are circles. What about squares and circles?

What is the contrapositive of p→q?

If rain implies I carry an umbrella, what is the contrapositive?

If P or Q is true and P is false, what can we conclude about Q?

P AND NOT P is always what value?

All birds can fly. Penguins are birds. Is the conclusion ‘penguins can fly’ valid?

If A→B, B→C, C→D, then A→D is what?

All A are B; All C are A; Therefore All C are B. This is a what?

Sequence: 2, 4, 8, 16. What is next?

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