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1. ODD ONE OUT

Which is the odd one out and why?

CHIS

DENC

PORL

PERL

FRAP

SPAD

2. AMICABLE NUMBERS

These are rare numbers. They are pairs of numbers in which the sum of the factors of one is equal to the other; and vice versa. What are the two numbers in the first pair? They are both under 300.

? ?

1184 1210

5020 5564

6232 6368

10744 10856

17926 18416

9437056 9363584

3. TEASERS

a) A wheel is spun containing 10 red and 10 yellow equal segments. Above the wheel is an arrow. What are the chances that in any 10 consecutive spins the same color will appear against the arrow?

b) Eight bingo balls numbered from 1 to 8 are placed into a bag then drawn out at random, one by one, and the numbers written down to form an eight-figure number. What are the odds that the eight-figure number will divide by 9 exactly?

c) If the man who always transgressed against divine or moral law was named Dennis, the girl who always felt unwell was named Delia, and the lady who had a thing of value was name Tessa, what was the name of the man who carried a bag of letters?

d) Jim, Alf, and Sid each win on the horses for three days running. The following are the nine amounts which the bookie paid out (starting with the largest amount to the smallest amount):

$65 $52 $47 $39 $26 $23 $21 $15 $12

Jim won twice as much as Sid. What was the total winning amount for each man over the three days?