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.

Safe Conduct

Bumbletown had the most robbed bank in the land. The unfortunate clerk was frequently forced to open the safe, and the bank had lost so much money, that Mr Good, the bank manager, was going bald.

Then one day, Mr Good had an idea. His nephew, Fumble, should be the bank clerk. Now Fumble was the ideal man for the job. His memory was so bad, one could be sure that no robber could ever force him to remember the safe combination. Furthermore, his poor powers of recall were matched by a superb talent for puzzling things out. This meant that whenever Fumble needed to know the safe combination, all he had to do was obtain the following conundrum from Mr Good, which he could solve to reveal the five-digit safe combination.

‘The fourth digit is four greater than the second digit. There are three pairs of digits that each sum to 11. The third of the five digits is three less than the second. The first digit is three times the fifth digit.’

Of the 100,000 possible numbers, which was the correct safe combination?

Riddle Answer

Four Fruits

In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.

How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?

Riddle Answer