January - Actuarial Society of India

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