January - Actuarial Society of India
January - Actuarial Society of India
January - Actuarial Society of India
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SHILPA'S PUZZLE<br />
Puzzle No 183:<br />
Security at Prime Palace is a very<br />
straightforward affair. There are no keys,<br />
just simple bracelets on which are hung<br />
ve numbers. Access to sensitive areas is<br />
then granted by presenting the bracelet<br />
in a way that shows a ve-digit prime<br />
number. Given that a bracelet can be read<br />
clockwise or anti-clockwise, and there are<br />
ve numbers to start from, the chances<br />
<strong>of</strong> picking a prime number at random can<br />
therefore be as low as one in ten.<br />
Sounds simple Well, as an extra check,<br />
you are asked to swap your bracelet for<br />
one <strong>of</strong> the same colour at every door, so<br />
you need to know for your colour the full<br />
set <strong>of</strong> possible prime numbers.<br />
Although the system had worked well<br />
for many years, it had almost been<br />
abandoned when the queen had<br />
remarried. The new king could simply not<br />
remember the numbers! He therefore<br />
had a special bracelet made that<br />
always produced a prime however it was<br />
presented, and he was never asked to<br />
swap bracelets.<br />
What numbers were on king’s bracelet<br />
Puzzle No 184:<br />
Find a ve-digit palindromic number (a<br />
number which equals itself when read<br />
backwards which has a remainder <strong>of</strong><br />
when divided by 10, a remainder <strong>of</strong> <br />
when divided by , remainder <strong>of</strong> when<br />
divided by , and so on.<br />
Answers to Puzzles:<br />
Puzzle No 179:<br />
The paragraph is unusual because it<br />
does not contain the letter “e.<br />
Puzzle No 180:<br />
The number <strong>of</strong> gs in the ve boxes are:<br />
A 0; B 20; C 20; 0; E 120<br />
Correct solutions were received from:<br />
Puzzle No 179:<br />
Parag Gupta<br />
Lekshmi R. Pillai<br />
Aroop Chand<br />
Puzzle No 180:<br />
Parag Gupta<br />
Titiksha Jain<br />
Nikunj Haria<br />
Shilpi Jain<br />
Charumathy Balan<br />
anoj Barbhaya<br />
V. V. N. iran Sharma<br />
Saraswati Shashidhar<br />
Reema Runwal<br />
Vikas Rathi<br />
R. ythili<br />
Nikhil Sheth<br />
shilpa_vmhotmail.com<br />
SUDOKU<br />
<br />
<br />
<br />
HOW TO PLAY<br />
Fill in the grid so that every horizontal row, every vertical column<br />
and every 3x3 box contains the digits 1-, without repeating<br />
the numbers in the same row, column or box.<br />
You can't change the digits already given in the grid.<br />
- Sudoku Puzzle by Vinod umar<br />
9 1 7<br />
4 6 8 9<br />
9 2 5<br />
2 7 9<br />
6 8<br />
5 3 1<br />
5 7 4<br />
7 3 9 2<br />
3 6 1<br />
Many Happy Returns <strong>of</strong> the day<br />
the Actuary <strong>India</strong> wishes many more years <strong>of</strong><br />
healthy life to the following fellow members<br />
whose Birthday fall in <strong>January</strong> 2013<br />
BHUDDEV CHATTERJEE<br />
S. R. KELEKAR<br />
N. K. PARIKH<br />
RAJENDRA PRASAD SHARMA<br />
(Birthday greetings to fellow members who have<br />
attained 0 years <strong>of</strong> age<br />
Solution <strong>of</strong> Sudoku Puzzle<br />
No.6 published in the<br />
Month <strong>of</strong> Dec. 2012<br />
HARD SOLUTION<br />
9 4 7 5 6 8 3 1 2<br />
2 8 1 3 9 7 4 5 6<br />
3 5 6 1 2 4 8 7 9<br />
5 7 9 4 1 3 6 2 8<br />
6 1 3 2 8 5 7 9 4<br />
8 2 4 9 7 6 1 3 5<br />
7 9 2 8 4 1 5 6 3<br />
1 3 8 6 5 2 9 4 7<br />
4 6 5 7 3 9 2 8 1<br />
30 The Actuary <strong>India</strong>