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Hard Puzzles


Difficulty: HardPuzzle 41

The local CD shop operates an unusual discount policy. The discount on the next purchase is worked out on the current purchase in the following way: for every whole pound spent you get 0.5% discount on the next purchase. For example, if you purchased £8.99 on the first purchase, you would then get a 4% discount on the next purchase and so on. You can make as many purchases as necessary.

You need to buy 7 CDs, costing, £11.50, £12.00, £12.00, £12.50, £13.00, £13.00 and £14.50 - what is the cheapest method of buying them?

[Ref: ZNQV] © Kevin Stone

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Difficulty: HardPuzzle 42

The beginning of a well known book has been encrypted below. Each letter of the alphabet has been replaced by another using a simple substitution technique. For example, A may always be represented by G, etc. Can you name the book?

Qdne gnpn hyq ptmxgte admxipnh qy rnumh gmqd. M iyh'q cwjjycn qdne dti nonp qdywudq trywq ptmxgtec nbanjq tc t vnthc yl unqqmhu qy Vtcznxehn thi Ayyz'c, qdn Jthqyvmvn, Syyxyumatx Utpinhc, thi Vtitvn Qwcctwi'c. Qdne gnpn kwcq ypimhtpe cwrwprth admxipnh, thi qdne xmoni gmqd qdnmp Ltqdnp thi Vyqdnp mh th ypimhtpe pni-rpmaz-lpyhqni omxxt, gmqd ayxywpni uxtcc mh qdn lpyhq iyyp, t qmxni jtcctun qdtq gtc atxxni t dtxx, t rtqd-pyyv gmqd dyq thi ayxi gtqnp, nxnaqpma rnxxc, Lpnhad gmhiygc, thi t uyyi intx yl gdmqn jtmhq, thi 'nonpe vyinph ayhonhmnhan', tc qdn dywcn-tunhqc cte.

[Ref: ZLLI] © Kevin Stone

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Difficulty: HardPuzzle 43

How far do you have to travel to reach the North Pole, if you start from the equator and always head North West?

[Ref: ZRDG]

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Difficulty: HardPuzzle 44

The beginning of a well known book has been encrypted below. Each letter of the alphabet has been replaced by another using a simple substitution technique. For example, A may always be represented by G, etc. Can you name the book?

Mhk pyodm gzbak mhbm Y abr jkzz okqkqlko jbd b zbowk gzkbdbrm qkbcej jymh b gerc ep azkbo jbmko yr ym. Deqk dhbcx mokkd zkbrkc eiko ym, brc otdhkd brc jbmko-zyzykd wokj bm mhk ckkg krc. Eiko mhk hkcwk er erk dyck jk zeenkc yrme b gzetwhkc pykzc, brc er mhk emhko jk zeenkc eiko b wbmk bm eto qbdmko'd hetdk, jhyah dmeec lx mhk oebcdyck; bm mhk meg ep mhk qkbcej jbd b woeik ep pyo mokkd, brc bm mhk lemmeq b otrryrw loeen eikohtrw lx b dmkkg lbrn.

Jhyzk Y jbd xetrw Y zyikc tger qx qemhko'd qyzn, bd Y aetzc rem kbm wobdd. Yr mhk cbxmyqk Y obr lx hko dyck, brc bm rywhm Y zbx cejr azedk lx hko. Jhkr ym jbd hem jk tdkc me dmbrc lx mhk gerc yr mhk dhbck ep mhk mokkd, brc jhkr ym jbd aezc jk hbc b ryak jboq dhkc rkbo mhk woeik.

[Ref: ZZAP] © Kevin Stone

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