Lesson Some logic problems

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Some logic problems

This lesson presents some logic problems.
You need to apply your logic skills to solve these problems. No special knowledge or special methods are required.
First, try to solve these problems yourself.
The answers and the solutions to the problems of this lesson are separated from the problem statements and are provided
under the links Answer and Solution respectively after each problem.

Problem 1

Three boxes contain one ball each: white, black and green.
The first box is labeled as "White", the second box is labeled as "Black", and the third box is labeled as "White or Green",
but none of the labels corresponds to the box content.
Can you identify, what ball is in each box?

Answer
Solution

Problem 2

A carpenter, a plumber, and an engineer, whose names are Alex, Bob, and Charlie, are flying from San Francisco to New York.
From their conversation in the plane it is revealed that
    a) Alex and the engineer are going to work at a construction site;
    b) the carpenter and Charlie live in Concord;
    c) Bob is younger than the plumber;
    d) Charlie is older than the engineer.
What are the names of the engineer and the carpenter?

Answer
Solution

Problem 3

Seven dwarfs decided that each of them will give a gift of at least 7 flowers to Snow White for her birthday.
When all the flowers were presented, Snow White said that the total number of the flowers is not more than 50.
When the smallest dwarf heard it, he said immediately that he can identify exactly the number of flowers presented by each dwarf.
What is the number of flowers presented by each dwarf?

Answer
Solution

Problem 4

There are 25 students in the class.
Each student attends a sport class or an art school. Some of students attend both the sport class and the art school.
The number of students attending the sport class is 18; the number of students attending the art school is 12.
How many of class students attend both the sport class and the art school?

Answer
Solution

Problem 5

It takes 15 minutes to boil an egg.
How could you boil the egg having two hourglasses that measure 7 and 11 minutes?

Answer
Solution

Problem 6

Bev takes a train home at 4:00 pm, arriving at the station at 6:00 pm. Every day, driving at the same rate, her husband meets her at the station.
One day, she takes the train an hour early and arrives at 5:00 pm. Her husband leaves home to meet her at the usual time, so Bev begins to walk home.
He meets her on the way and they arrive home 20 min earlier than usual. How many minutes did Bev walk?

Answer
Solution

Use this file/link ALGEBRA-I - YOUR ONLINE TEXTBOOK to navigate over all topics and lessons of the online textbook ALGEBRA-I.

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