421. Lies, Almost All Lies. Here are ten numbered statements. How many of
them are true?

1. Exactly one of these statements is false.

2. Exactly two of these statements are false.

3. Exactly three of these statements are false.

4. Exactly four of these statements are false.

5. Exactly five of these statements are false.

6. Exactly six of these statements are false.

7. Exactly seven of these statements are false.

8. Exactly eight of these statements are false.

9. Exactly nine of these statements are false.

10. Exactly ten of these statements are false.

All the statements contradict one another, and therefore at most one of them can be true, in which case the other nine statements will be false, which is what statement nine asserts. Therefore statement nine is the only true statement.

422. Fill in each of the blanks below with a word that means the same as the words
on either side.

( transparent ) ________ ( evident )

( type of downpour ) _______ ( greet )

423. A chain link is broken into six parts. Four of these parts consist of three
links apiece, one consists of two links, and one consists of only one link. A jeweler wants forty cents to cut a link and sixty cents to weld a link. What is
the most economical way to put the chain back together? How much will it cost?

He breaks the double link and the single link and use them to connect the others. This way he is making 3 cuts and 3 welds for a cost of $3.00.

424. Here is a code for a well-known English word. Can you work out what it is?

E10100010001000UNI100ATXN

EXCOMMUNICATION. Excommunication. In Order--[E=E, 10=X, 100=C, 0=O, 1000=M, 1000=M, UNI=UNI, 100=C, AT=AT, X=10, N=N.].

425. The names of three American cities have been interlettered below. Can
you find them?

BTIORTSOHTYAOCNA

426. What is the next number in this series:

1248 1632 6412 8256?

Regrouping the series as 1, 2, 4, 8, 16, 32, 64, 128, and 256, the next two terms in this series are 512 and 1024. The answer to the question is 5121.

427. My head and tail both equal are,

My middle slender as a bee.

Whether I stand on head or heel

Is quite the same to you or me.

But if my head should be cut off,

The matter's true, though passing strange

Directly I to nothing change.

What am I?

428. Tom is older than Sue, and Sue is younger than Mary, who is older than Tom. Who is the oldest of the three?

429. In a foot race, Jack was neither first nor last. Sam beat Bill, Tom,
and Jack. Sam was neither first nor last. Joe beat Sam. Who was first?

430. Fill in each of the definitions then use the first letter of each word to
form a seasonal word.

1. Pronounced the same as a homonym for "to kill." _ _ _ _ _ _

2. Not at all (at no time). _ _ _ _ _

3. To be obligated. _ _ _

4. Male name or determination. _ _ _ _

SNOW. (sleigh, never, owe, will).

431. Replace each letter with a number (the same number for each letter), to find
a correct arithmetical solution.

H A N G

H A N G

__H A N G__

G A N G S

7 1 4 2 + 7 1 4 2 + 7 1 4 2 = 2 1 4 2 6.

432. Sharon likes a palace but not a camp, ice but not cold and celery but not
carrots. Will she like, based on the same principle, cabbage or cereal?

Cereal. Sharon prefers words in which "C" is pronounced like "S".

433. Six seamstresses could sew six seams in twenty minutes. How many
seamstresses would be needed to sew thirty-six seams in two hours?

Six. Each seamstress can sew one seam in twenty minutes, or 3 in an hour, or 6 in two hours.

434. The following 12 letters can be anagrammed into a three-word toast with a
nautical flavor.

A C D E H H H N O T T W

435. There is a certain number whose third and fourth powers, taken together,
exhibit all the digits from 0 to 9, each once and once only. Can you work out what the number is?

The third and fourth powers must contain 10 digits between them, so the number sought can only be 18, 19, 20, or 21. Of these, 20 and 21 are bound to duplicate zeros and ones, respectively. Testing 18 and 19 reveals that 18 is the answer. The third power of 18 is 5832, and the fourth power of 18 is 104,976.