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Quiz of the Month (May 2006)

Hector C. Parr

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SOLUTION TO LAST MONTH'S QUIZ

1. 2730
2. ISA
3. RER
Notes.
```  1. No. beginning with a given vowel     = 21 * 5 = 105
No. beginning with a given consonant = 5 * 21 = 105
So total = 5 * 105 + 21 * 105 = 2730

2. First word in Vol.II = Word no. 2730/3 + 1 = 911
Now ABA is Word no.1
So  BAB is Word no.106
.... (counting in steps of 105)
So  IBA is Word no.841
So  ICA is Word no.846
.... (counting in steps of 5)
So  ISA is Word no.911

3. Solved similarly, with one additional step to find
third letter.```

THIS MONTH'S QUIZ

You are given that PI = 3.14159265...

1. Find the simplest fraction m/n, (i.e. the fraction with lowest denominator) where m and n are integers, such that m/n differs from PI by less than 0.01.

2. Find the simplest fraction which differs from PI by less than 0.0001.

3. Find the simplest fraction which differs from PI by less than 0.000001.

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