# PUZZLES

1 Unity knows that the minimum value of the quantity x + 1/x (where x is positive; i.e. x 0) is 2, which occurs when x = 1. She can prove it, too. What about the quantity 4/x + x? What about p2/x + x? And p/x + x? No calculus or trigonometry please!

2 Out here in Arbitraria, there is a Minus Strike on and the use of minus signs is not allowed. Can you rewrite:

(pq – rs)2 + (ps + qr)2 without the use of any minus signs? Can you do it with just 2 plus signs?

3 Wordpool

Find the correct definition for the following: FALANOUC a) carnivorous mongoose of

Madagascar b) species of desert fox c) village chief d) nippy little sailing

vessel

4 Same Difference Identify the two words that differ only in the letters shown:

***** exalt

P ***** extol

5 Missing Links

Find a word that follows the first word in the clue and precedes the second, in each case making a fresh word or phrase. E.g. the answer to fish mix could be cake (fishcake & cake mix) and to bat man it could be he (bathe & he-man) a) lips box b) dead dancer c) single trader d) ceiling water e) table secret f ) almond chocolate