Logical Problems Questions & Answers

Q1 Four defensive football players are chasing the opposing wide receiver, who has the ball. Calvin is directly behind the ball carrier. Jenkins and Burton are side by side behind Calvin. Zeller is behind Jenkins and Burton. Calvin tries for the tackle but misses and falls. Burton trips. Which defensive player tackles the receiver?

Q2 A four-person crew from Classic Colors is painting Mr. Field's house. Michael is painting the front of the house. Ross is in the alley behind the house painting the back. Jed is painting the window frames on the north side, and Shawn is on the south. If Michael switches places with Jed, and Jed then switches places with Shawn, where is Shawn?

Q3 In a four-day period Monday through Thursday, each of the following temporary office workers worked only one day, each a different day. Ms. Johnson was scheduled to work on Monday, but she traded with Mr. Carter, who was originally scheduled to work on Wednesday. Ms. Falk traded with Mr. Kirk, who was originally scheduled to work on Thursday. After all the switching was done, who worked on Tuesday?

Q4 Four people witnessed a mugging. Each gave a different description of the mugger. Which description is probably right?

Q5 Fact 1: Jessica has four children

Fact 2: Two of the children have blue eyes and two of the children have brown eyes.

Fact 3: Half of the children are girls.

If the first three statements are facts, which of the following statements must also be a fact?

I: At least one girl has blue eyes.

II: Two of the children are boys.

III: The boys have brown eyes.

Q6 Fact 1: All drink mixes are beverages.

Fact 2: All beverages are drinkable.

Fact 3: Some beverages are red.

If the first three statements are facts, which of the following statements must also be a fact?

I: Some drink mixes are red.

II: All beverages are drink mixes.

III: All red drink mixes are drinkable.

Q7 Fact 1: All chickens are birds.

Fact 2: Some chickens are hens.

Fact 3: Female birds lay eggs.

If the first three statements are facts, which of the following statements must also be a fact?

I: All birds lay eggs.

II: Some Hens are birds.

III: Some chickens are not hens.

Q8 Fact 1: All hats have brims.

Fact 2: There are black hats and blue hats.

Fact 3: Baseball caps are hats.

If the first three statements are facts, which of the following statements must also be a fact?

I: All caps have brims.

II: Some baseball caps are blue.

III: Baseball caps have no brims.

Q9 Fact 1: Eyeglass frames cost between $35 and $350.

Fact 2: Some eyeglass frames are made of titanium.

Fact 3: Some eyeglass frames are made of plastic.

If the first three statements are facts, which of the following statements must also be a fact?

I: Titanium eyeglass frames cost more than plastic frames.

II: Expensive eyeglass frames last longer than cheap frames.

III: Only a few eyeglass frames cost less than $35.

Q10 Fact 1: Most stuffed toys are stuffed with beans.

Fact 2: There are stuffed bears and stuffed tigers.

Fact 3: Some chairs are stuffed with beans.

If the first three statements are facts, which of the following statements must also be a fact?

I: Only children's chairs are stuffed with beans.

II: All stuffed tigers are stuffed with beans.

III: Stuffed monkeys are not stuffed with beans.