1. The Wolf, Goat & Cabbages

This is an old logic problem dating back to the 8th century.

A farmer needs to transport a wolf, a goat and a pile of cabbages across a river in a boat. The problem is that along with himself he can only take either the wolf, the goat or the cabbages. If he takes the cabbages across, the wolf will eat the goat, while if he takes the wolf the goat will eat the cabbages ! How does he get the wolf, the goat and the cabbages safely across the river?

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Solution

As the wolf won’t eat cabbage, he firstly takes the goat across the river. He then leaves the goat on the other side of the river and returns alone to pick up the cabbages. Upon his return to the other side he leaves the cabbages and returns with the goat. Upon his return, he leaves the goat and takes the wolf across the river to join the cabbages. He then returns alone to pick up the goat. After one final trip across the river with the goat, he successfully gets the wolf, goat and cabbages all safely across the river.

  1. The nine dot puzzle

Without lifting your pencil, draw four straight lines passing through each dot only once.

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  1. Alphanumerics

In the following each letter represents a different digit. Find the value of each letter if:

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Solution

21978 x 4 = 87912 A = 2, B = 1, C = 9, D = 7, E = 8

  1. How many ?

How many triangles can you find in the following figure ?

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Solution

There are 35 triangles