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.

Puzzle of the Matches

A friend of mine emptied a box of matches on the table and divided them into three heaps, while we stood around him wondering what he was going to do next.

He looked up and said, “Well friends, we have here three uneven heaps. Of course you know that a match box contains altogether 48 matches. This I don’t have to tell you. And I am not going to tell you how many there are in each heap.”

“What do you want us to do?” one of the men shouted.

“Look well, and think. If I take off as many matches from the first heap as there are in the second and add them to the second, and then take as many from the second as there are in the third and add them to the third, and lastly if I take as many from the third as there are in the first and add them to the first—then the heaps will all have equal number of matches.”

As we all stood there puzzled he asked, “Can you tell me how many were there originally in each heap?” Can you?

Riddle Answer

3 Hats Puzzle

Three wise men are told to stand in a straight line, one in front of the other. A hat is put on each of their heads. They are told that each of these hats was selected from a group of five hats: three black hats and two white hats. The first man, let’s call him A, at the rear, can see both other men and their hats. The second man, B, in the middle, can see only the last man and his hat. The last man, C, standing at the front of the line, can’t see either of the men behind him or their hats.

None of the men can see the hat on his own head.

When A is asked if he knows the color of the hat he is wearing, he says no. When B is asked if he knows the color of the hat he is wearing he says no. When C is asked if he knows the color of the hat he is wearing he says, “Yes, my hat is black.”

He is correct. How did he come to this conclusion?

Riddle Answer

1.5 Teenagers 1.5 Pizzas 1.5 Days

If one and a half teenagers can eat one and a half pizzas in one and a half days, how many pizzas can 9 teenagers eat in 3 days?

Riddle Answer

Twelve Flags

Twelve flags stand equidistant along the track at the stadium. The runners start at the first flag. A runner reaches the eighth flag 8 seconds after he starts. If he runs at an even speed, how many seconds does he need altogether to reach the twelfth flag?

Riddle Answer

Schoolboy’s Route

Each morning Boris walks to school. At one-fourth of the way he passes the machine and tractor station; at one-third of the way, the railroad station. At the machine and tractor station its clock shows 7:30, and at the railroad station its clock shows 7:35.

When does Boris leave his house, when does he reach school?

Riddle Answer

Logic Riddles

Puzzle of the Matches

3 Hats Puzzle

1.5 Teenagers 1.5 Pizzas 1.5 Days

Twelve Flags

Schoolboy’s Route

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