When Sid Bloggs was murdered, in a rather compromising position, the detective suspected Sid's wife Nora. Nora however, steadfastly maintained that on the evening of the murder she was in a restaurant with a male friend.
The detective had found an entry in Nora's diary for that evening which apparently confirmed her alibi as follows :
TIPS THE BRUSHED CHEFS. However, the detective realised that the message was coded, and that each letter could be moved either one place forwards or one place backwards in the alphabet to reveal a startling confession. What was the hidden confession?

A man lives on the twelfth floor of an apartment building. Every morning he takes the lift down to the lobby and leaves the building. In the evening, he gets into the lift, and, if there is someone else in the elevator he goes back to his floor directly. Otherwise, he goes to the tenth floor and walks up two flights of stairs to his apartment. Why?

MOSCOW=1100. LONDON = 550. TEL AVIV = 61. PARIS = 1. BERLIN = ?

1/ Anastasia, Brenda and Cornelia toss a fair coin 15, 16, and 17 times respectively. Which one is least likely to have tossed more heads than tails?
2/ The same, except the coins are tossed 18, 19, and 20 times respectively?

A commuter falls asleep on a train halfway to her destination. She slept until she had half as far to go as she went while she slept. How much of the whole trip was she sleeping?