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The Strange Number (Posted on 2003-05-29) Difficulty: 3 of 5
What is the smallest number which leaves a remainder:
9 when divided by 10;
8 when divided by 9;
7 when divided by 8;
6 when divided by 7;
5 when divided by 6;
4 when divided by 5;
3 when divided by 4;
2 when divided by 3;
1 when divided by 2 ?

[ In other words: Find the Least number which when divided by 'N' leaves a remainder '(N-1)', for N = 1,2,3,4,........,9,10].

See The Solution Submitted by Ravi Raja    
Rating: 2.6667 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution The Solution | Comment 2 of 9 |
Answer: 2519

Explanation:
Let's assume that the required number is N.

Then the number (N+1) is given by:
8x9x35 = 72x35 = 2520.

Here '8' takes care of divisibility by 2, 4 & 8;
and '9' takes care of divisibility by 3 & 9;
and '35' takes care of divisibility by 5 & 7;
and the combined product takes care of divisibility by 6 & 10;


  Posted by Jayaram S on 2003-05-29 02:42:04
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