Question

What is the smallest number which when divided by 10 leaves a remainder of 9,
when divided by 9 leaves a remainder of 8, when divided by 8 leaves a
remainder of 7, when divided by 7 leaves a remainder of 6 and so on until when
divided by 2 leaves a remainder of 1?

Answer 1

The smallest such number is 2519.
The easiest way is to find the Least Common Multiple (LCM) of 2, 3, 4, 5, 6, 7, 8
and 9. And subtract 1 from it.
The LCM of 2, 3, 4, 5, 6, 7, 8 and 9 is given by 2520. Hence, the required
number is 2519
Brain Teaser No : 00114
Everyday in his business a merchant had to weigh amounts from 1 kg to 121
kgs, to the nearest kg. What are the minimum number of different weights
required and how heavy should they be?
The minimum number is 5 and they should weigh 1, 3, 9, 27 and 81 kgs