All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > General > Tricks
A Numeral Sequence Problem (Posted on 2006-11-07) Difficulty: 2 of 5
Change the position of only one number in the sequence given below in order that the amended sequence corresponds to a palindromic sequence.

1, 4, 9, 6, 2, 1, 5, 10, 4

*** Source: Adapted from a problem which appeared in Mensa Canada Website.

See The Solution Submitted by K Sengupta    
Rating: 4.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution Comment 6 of 6 |

Either the first number 1 or 2 shifted to the last position, with each number converted to Roman numerals, will result in a palindromic sequence (ignoring commas and spaces):

IV, IX, VI, II, I, V, X, IV,  I    --> IVIXVIIIIVXIVI 

or,


I, IV, IX, VI, I, V, X, IV, II     --> IIVIXVIIVXIVII

or,
using the additive notation for Roman numeral 4
(IIII),

IIII, IX, VI, II, I, V, X, IIII, I --> IIIIIXVIIIIVXIIIII 

or,
using the additive notation for Roman numeral 4
(IIII),

I, IIII, IX, VI, I, V, X, IIII, II --> IIIIIIXVIIVXIIIIII


Converting all but the numeral 2 into Roman numerals with, optionally, converting the 2 into its equivalent in most any other numeral system, after shifting the initial 1 to the final position, will also work:

IV, IX, VI, 2, I, V, X, IV, I      --> IVIXVI2IVXIVI 
 
or,
using the additive notation for Roman numeral 4
(IIII),

IIII, IX, VI, 2, I, V, X, IIII, I  --> IIIIIXVI2IVXIIIII 

Edited on October 10, 2008, 11:56 am
  Posted by Dej Mar on 2008-10-10 10:12:34

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information