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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>

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