*Therefore, the second half of unsold hot dogs totals 10. Earlier, Bob had sold an additional 10 hot dogs to equal a running total of 30 hot dogs.Continuing to work backward, you recall that Bob sold one-third of his hot dogs in the first period, meaning that two-thirds remained, which equals 30.*

Logical reasoning is a useful tool in many areas, including solving math problems.

Logical reasoning is the process of using rational, systemic steps, based on mathematical procedure, to arrive at a conclusion about a problem.

Put your ability with numbers and problem solving skills to the test with classic brain teasers that will leave you scratching your head in search of answers.

How many of the brain bending questions can you answer correctly?

But there was also a chance to save himself by solving the following logic problem.

The gringo was shown two doors - one leading to a scaffold and the second one to freedom (both doors were the same) and only the door guards knew what was behind the doors.And that means that C was right saying B is lying - so C is an honestant. So if A was a swindlecant, then his statement would be false (thus A would have to be an honestant and B would have to be a swindlecant).However, that would cause a conflict which implicates that A must be an honestant.Working backward, start with the known quantity of 10 unsold, grilled hot dogs.You were also told that Bob sold half the remaining hot dogs when the game ended.Start with your final answer – 45 hot dogs grilled before the game started. Bob sold one-third of his hot dogs during the first period of the hockey game. Arriving at this solution confirms your logical reasoning abilities.Nicholas Smith has written political articles for Smithon Politics.com, "The Daily Californian" and other publications since 2004.On this site you'll find lots of logic puzzles and riddles, puzzling riddles, science puzzles and math puzzles and riddles. Do you know other nice brain teasers, riddles or puzzles that should be on the site? Check out our fun brain teasers and enjoy a range of mind bending math logic that is sure to get you thinking.In that case at least one part of his statement is true and as it can't be the first one, B must be an honestant, too.Our gringo displeased the sovereign with his intrusive questions and was condemned to death.

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