Logic

Logic is the study of reasoning and valid inference. It involves analyzing statements, arguments, and deductive processes. Questions may include solving logic puzzles, evaluating the truth of compound statements, using truth tables, and identifying logical fallacies.

• Question

  Seven wolves eat seven sheep in seven days. How long will it take `9` wolves to eat `9` sheep?

  Topics:

  Arithmetic Algebra -> Word Problems Logic -> Reasoning / Logic

• An Ancient Russian Riddle

  Two woodcutters, Ivan and Prokhor, were working together in the forest. They settled down to eat lunch. Ivan had `4` pitas, and Prokhor had `8`. At that moment, a hunter passed by them and asked to join the meal, so they divided the `12` pitas equally among the three of them. After the meal, the hunter really wanted to thank the woodcutters and gave them `15` kopecks. After he left, Ivan and Prokhor began to discuss how to divide the money.

  Prokhor suggested simply dividing it equally. But Ivan argued that this would not be fair, because he had twice as few pitas, therefore, in his opinion, Prokhor should receive `10` kopecks and Ivan himself - `5`. How do you think the money should be divided fairly?

  Topics:

  Algebra -> Word Problems Logic -> Reasoning / Logic Arithmetic -> Fractions

• Question

  When there is heat stress or cold stress, military training is canceled. One day, training was canceled, and it is known that this did not happen because of the cold. Does this mean that the training was canceled because of the heat?

  Topics:

  Logic -> Reasoning / Logic

• Question

  Avi is a good student, but his brother Benny is less so. A day is considered successful if Avi received `100` and Benny did not receive zero. Define an unsuccessful day.

  Topics:

  Logic -> Reasoning / Logic

• Question

  What is the maximum number of rooks that can be placed on an `8xx8` board so that they do not threaten each other?

  Topics:

  Combinatorics -> Pigeonhole Principle Logic -> Reasoning / Logic Proof and Example -> Constructing an Example / Counterexample Minimum and Maximum Problems / Optimization Problems

• Question

  In the enchanted land, all tailors are gingers, and all gingers have green eyes. Is it true that every tailor who lives in the enchanted land has green eyes?

  Topics:

  Logic -> Reasoning / Logic

• Question

  Every student who prepared for the exam, indeed passed it. Students who worked while studying did not prepare for the exam. Shlomi worked while studying. Did Shlomi necessarily fail the exam?

  Topics:

  Logic -> Reasoning / Logic

• Question

  Three travelers need to cross a river. They have a boat that can hold a load of up to `100` kilograms. The travelers weigh `45`, `50`, and `80` kilograms. How should the travelers proceed to cross to the other side?

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  Topics:

  Algebra -> Word Problems Logic -> Reasoning / Logic

• Question

  An apple is heavier than a pear, and an orange is lighter than an apple. Can you tell which is heavier: a pear or an orange? 

  Topics:

  Logic -> Reasoning / Logic

• Question

  When either Alice or Edith doesn't come to school, their friend Rosa is sad. Today Edith came to school, but Rosa is sad. Did Alice come to school today?

  Topics:

  Logic -> Reasoning / Logic