Advanced Logical Deduction Quiz

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1. 1

   If all bloops are razzies and some razzies are dancers, which of the following must be true?

   A All dancers are bloops. B Some bloops are dancers. C No bloops are dancers.
2. 2

   A statement says: 'If it rains, then the ground will be wet.' What is the contrapositive of this statement?

   A If the ground is wet, then it rains. B If it doesn't rain, then the ground won't be wet. C If the ground is not wet, then it didn't rain.
3. 3

   In a sequence of statements, if the first statement is true then the third one is false, and if the second statement is false then the first one is true. Given that the first statement is false, what can be said about the second statement?

   A It is true. B It is false. C It cannot be determined.
4. 4

   If every friend of Jim is a friend of Alex, and some friends of Alex are not friends of Jim, what follows?

   A All friends of Jim are friends of Alex. B All friends of Alex are friends of Jim. C None of the friends of Alex are friends of Jim.
5. 5

   A machine operates in a way that for every 3 units of input, it produces 4 units of output. How many units of input are needed to generate 20 units of output?

   A 15 B 15 C 16
6. 6

   If a conclusion is logically derived using a set of premises but the premises include a contradiction, what can be said about the conclusion?

   A It may be true or false. B It must be true. C It must be false.
7. 7

   An individual is either telling the truth or lying in a statement. If he claims, 'I always lie,' then what can be concluded?

   A The claim is true. B The claim creates a paradox. C The claim is false.
8. 8

   If the statement 'All swans are white' is disproven by a single observation, what type of reasoning is this an example of?

   A Deductive reasoning B Inductive reasoning C Falsification
9. 9

   If 'All roses are flowers' and 'All flowers need water', what logical conclusion can you draw?

   A All roses need water. B Only roses need water. C Some roses may not need water.
10. 10

    A series puzzle has terms 2, 4, 8, 16. What is the next term in this sequence?

    A 24 B 32 C 30