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Tuesday, December 22, 2009

Letter Equations 0 to 2

0 = L in T.

1 = K E.
1 = C A in M.
1 = W on a U.
1 = H on a U.
1 = R A in E B.
1 = D at a T.
1 = G L for M.

2 = H in a W.
2 = B of C in a M.
2 = S of R in K R B.
2 = number it T to T.
2 = R on a T.
2 = S to an A.
2 = F of J.
2 = Q in a C.

Monday, December 21, 2009

Rare Years

Back in the year 1936, people born in 1892 were able to make an unusual mathematical boast, a boast that people born in 1980 will be able to make at some time during the 21st century. John Stuart Mill, the English philosopher and economist, would also have been able to make the same boast, had he noticed it.

Given that he was born in the 19th century, can you tell me what the unusual boast was, what year he was born in, and what year he could make the boast in?

Friday, December 18, 2009

Five and Six Letter Equations

I'm not sure I know the answers to these. Can you help me figure them out?

5 = F O in a G.
5 = S.
5 = R in the O F.
5 = G L.
5 = T on a F.
5 = L in a L.

6 = S on a G.
6 = P on a P T.
6 = P in an I H T.
6 = W of H the E.
6 = B C.

Thursday, December 17, 2009

Count the

Fill in the blanks:

This sentence contains __ 1's, __ 2's, __ 3's, __ 4's, __ 5's, __ 6's, __ 7's, __ 8's, __ 9's and __ 0's.

There are two possible solutions. Try to find out both of them.

Wednesday, December 16, 2009

Even the Odds

Tim and Al are playing a game with two dice. They are not using numbers, but instead the die faces are colored. Some of the faces are colored blue and others are red.

Each player throws the dice in turn. Tim wins when the two top faces are the same color. Al wins when the colors are different. Their chances at winning are even.

The first die has 5 red faces and 1 blue face. How many red and how many blue are there on the second die?

Tuesday, December 15, 2009

US City

Which of the following anagrams is not a US city?

  1. gronba
  2. inhoxep
  3. toditer
  4. sangvelto
  5. noterlam
  6. dnartolp

Monday, December 14, 2009

Senior Play

In this year's Senior Class play, Ellis Island Idylls, a comedy celebrating America's ethnic heritage, Mike and four other boys play the five major male roles. Ironically, no one is playing the role for which he auditioned but instead is cast in one of the other four parts. Given this information and the clues, can you determine each actor's first and last name (one last name is Curtis), the part for which he auditioned, and the role he is playing in the production?

1. No two actors auditioned for and play the same two roles.
2. Tom is not the one playing Ivan.
3. Four of the actors - Ray, Evans, the one who tried out for Padraic, and the one portraying Ivan - had been in the Junior Class play.
4. The boy who auditioned for the role of Johann - who is not Pete Adams - is not playing Olaf in the production.
5. In one scene, Decker and the one who auditioned as Giorgio woo the same girl.
6. Ray did not try out as Ivan and did not win the Padraic role.
7. The boy who auditioned as Padraic - who is not Tom - is not the one playing Johann.
8. Steve and the Decker boy are also on the stage construction crew.
9. The actor playing Padraic auditioned as Olaf; he is not Tom.
10. The Block youth got the part for which Pete auditioned.