Logic Riddles

Logic riddles with answers involve looking at situations and making judgements about them by ruling out impossibilities. If you like solving maths puzzles, you will most probably like logic riddles as well.

4 Criminals

4 criminals are caught and are to be punished. The judge allows them to be freed if they can solve a puzzle. If they do not, they will be hung. They agreed.

The 4 criminals are lined up on some steps (shown in picture). They are all facing in the same direction. A wall separates the fourth man from the other three.

4 criminals

So to summarise :
Man 1 can see Man 2 and Man 3.
Man 2 can see Man 3.
Man 3 can see none of the others.
Man 4 can see none of the others.

The criminals are wearing hats. They are told that there are two white hats and two black hats. The men initially don’t know what colour hat they are wearing. They are told to shout out the colour of the hat that they are wearing as soon as they know for certain what colour it is.

They are not allowed to turn round or move. They are not allowed to talk to each other. They are not allowed to take their hats off.

Who is the first person to shout out and why?

Riddle Answer

Cheryl’s Birthday

Albert and Bernard became friends with Cheryl, and they want to know when her birthday is. Cheryl gives them a list of 10 possible dates.

May 15      May 16      May 19
June 17     June 18
July 14     July 16
Aug 14      Aug 15      Aug 17

Cheryl then tells Albert and Bernard separately the month and the day of her birthday respectively.

Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard does not know too.
Bernard: At first I don’t know when Cheryl’s birthday is, but I know now.
Albert: Then I also know when Cheryl’s birthday is.

When is Cheryl’s birthday?

Riddle Answer

Delinquent Decision

Five children were playing kickball. One of the five broke a window. When questioned about the incident, each child made three statements of which two were true and one was false. The statements are given below.

Joe:
1. I didn’t do it.
2. Sally will tell who did it.
3. One of us is in big trouble.

Matt:
1. Joyce did it.
2. I didn’t do it.
3. I don’t even like to play kickball.

Vince:
1. I didn’t do it.
2. Joyce and I are good friends.
3. Sally doesn’t know who did it.

Joyce:
1. Matt lied when he said I broke the window.
2. I never saw Vince before today.
3. I never broke a window in my life.

Sally:
1. I saw Joyce break it.
2. I didn’t break the window.
3. I want to go home.

Who broke the window?

Riddle Answer

Train to Dacha

Two schoolgirls were traveling from the city to a dacha (summer cottage) on an electric train.

“I notice,” one of the girls said, “that the dacha trains coming in the opposite direction pass us every 5 minutes. What do you think-how many dacha trains arrive in the city in an hour, given equal speeds in both directions?”

“Twelve, of course,” the other girl answered, “because 60 divided by 5 equals 12.”

The first girl did not agree. What do you think?

Riddle Answer

Bottle and Cork

A bottle and a cork together cost $1.10. The bottle costs $1.00 more than the cork. How much does the cork cost?

Riddle Answer

Logic Riddles

4 Criminals

Cheryl’s Birthday

Delinquent Decision

Train to Dacha

Bottle and Cork

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