self Maths Puzzle

12 black mice and 1 white mouse are in a ring. Where should a cat start so that if he eats every 13th mouse the white mouse will be last?

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THE
TEN
MEN
----
MEET

SLOW
SLOW
OLD
----
OWLS

SAL
SEE
THE
SUEZ
-----
CANAL

FIVE
FIVE
NINE
ELEVEN
------
THIRTY
20 passengers are in a sinking ship. 10 are mathematicians. They all stand in a ring. Every 7th climbs into the lifeboat which can only hold 10 people. Where should the mathematicians stand in the ring?