3-round logic challenge


✓ Question 15: 8

Challenge complete100% finished

Your result

Add up the points from all 15 answers.

0 to 5 points: Warming up
Patterns get easier with practice. Reread the explanations and try again another day.
6 to 9 points: Good reasoning
You spotted most of the rules. The tricks in the last round are the ones that confuse people most.
10 to 12 points: Well done
You see patterns easily. Only the hardest details got past you.
13 to 15 points: Excellent
Almost everything right. Consider trying another quiz next.

Just for fun. The ranges describe how this challenge went, not you.

Why, on question 15: A snail climbs 3 m per day in a 10 m well and slips back 2 m at night. After how many days does it get out?

The answer is 8 days. The snail advances 1 metre per day, counting the climb and the slip. At the end of the seventh day and the following night, it is at 7 metres. On the eighth day it climbs 3 metres, reaches 10 and gets out before slipping.

The last day is different

The most common answer is 10 days: since the snail advances 1 metre per day, it seems it needs 10 days for 10 metres. The catch is that on the last day it does not slip back.

When it reaches the rim, it leaves the well, and the following night no longer counts. That is why the 3 metres of the last day must be counted in full.

A safe way to solve it is to make a simple table, with the height at the end of each day and each night. In a few steps the pattern becomes clear and the last day stands out on its own.

This puzzle is old and has many versions, with frogs, snails and ants, always with the same trick: what holds for the middle days does not hold for the last one.

What this challenge covered

The first round brought five classic types of sequence: constant addition, multiplication, growing differences, square numbers and the Fibonacci sequence.

The second showed that behind the figures there is almost always a simple rule: a cycle, a rotation, a count of sides or points, or two patterns moving together.

The third gathered puzzles where the first answer is usually wrong. In all of them, what solves it is redoing the situation calmly, step by step.

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