### Brainteasers

Newsletter October 2021

I have a 9 letter word, represented by the letters numbered in order..123456789.

If I lose it, I die.

If I have 234, I can 1234.

If I have 56, I am very sick.

235 is the same as 789.

What is the word?

## Hover cursor here to reveal answer

HEARTBEAT

(Thanks to puzzleprime.com)

Previous Newsletter

You have 9 balls, 8 of which have the same weight. The remaining one is heavier than the rest. You can use a balance scale to compare weights in order to find which is the defective ball. How many measurements do you need to do this?

## Hover cursor here to reveal answer

First, we put 3 balls on the left side and 3 balls on the right side of the balance scale. If the scale tips to one side, then the defective ball is there. If not, the defective ball is among the remaining 3 balls. Once left with 3 balls only, we put one on each side of the scale. If the scale tips to one side, the defective ball is there. If not, the defective ball is the last remaining one. Clearly we can not find the defective ball with just one measurement, so the answer is 2.

(Thanks to puzzleprime.com)