Brain Teasers

Puzzle 1


?At a recent bowling match, two games were played.

Kev beat Stuart in both games, also Richard beat John in both games. The winner in game 1 came second in game 2. Richard won game 2 and John beat Stuart in game 1. No player got the same placing twice.


Can you determine who finished where in each game?

 

Answer:
Name     #1  #2
Kev      1   2
Richard  2   1
John     3   4
Stuart   4   3

Difficulty: Easy4 Star RatingPuzzle 2
?Unluckily, last week I lost my measuring tape. It was unlucky as I had to measure Daniel's toy box.

Luckily though I could remember that the top had an area of 720 square inches, the side was 800 square inches and the end was 360 square inches.


What were the true dimensions of the toy box?

Answer:
Width=40, height=20, depth=18.

If we call the height H, the width W and the depth D we have:
   H x W = 800             (so H = 800 ÷ W)         (1)
   W x D = 720             (so W = 720 ÷ D)         (2)
   H x D = 360             (so H = 360 ÷ D)         (3)

Using (1) and (3) we have:

   800   360
   --- = ---
    W     D
   800 x D = 360 x W

Using (2):

   800 x D = 360 x 720
                   ---
                    D
   800 x D2 = 259,200
   D2 = 324
   D = 18

Using (2), W = 40.


Using (1), H = 20. QED.

Difficulty: Easy4 Star RatingPuzzle 3
Add one Z to the following word to form another valid English word:
LEG
You may change the order of the letters.
Answer: Lozenge.

one Z + LEG = ONE Z LEG = ONEZLEG > LOZENGE.

Difficulty: Medium4 Star RatingPuzzle 4
Four related words are merged below:
MAAP EABA NNGP PRLE ANAO
 
Answer:
Banana, apple, pear and mango.

Difficulty: Easy4 Star RatingPuzzle 5
Using the BrainTracker grid below, how many words can you find? Each word must contain the central R and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 69 words. Good: 51 words. Average: 35 words.
?


Answer:
Common words: acre, amber, arc, arch, are, ark, arm, backer, baker, banker, bar, bare, bark, barn, bear,
BENCHMARK, brace, bracken, brake, bran, branch, breach, break, camber, canker, car, care, chamber, char, charm, crab, cram, crane, crank, creak, cream, ear, earn, embark, era, hacker, hanker, hare, harem, hark, harken, harm, hear, her, herb, kerb, maker, mar, march, mare, mark, nark, near, race, rack, rake, ram, ranch, rank, reach, ream, rhea.

All words: acerb, acre, amber, ar, arb, arc, arch, are, ark, arm, backer, baker, banker, bar, bare, bark, barm, barmen, barn, bear, becharm,
BENCHMARK, berm, brace, brach, bracken, brae, brake, bran, branch, brank, breach, break, bream, brecham, brechan, bren, caber, camber, caner, canker, car, carb, care, cark, carmen, carn, chamber, char, chare, chark, charm, crab, crake, cram, crambe, crane, crank, creak, cream, ear, earn, embar, embark, er, era, ern, hacker, hanker, hare, harem, hark, harken, harm, hear, her, herb, herm, herma, hern, karn, kbar, kebar, kerb, kern, knar, macer, maker, mar, marc, march, marchen, mare, mark, merk, nacre, namer, nark, near, race, rack, rah, rake, ram, ran, rance, ranch, rank, re, reach, ream, reb, rec, reck, rehab, rem, reman, rhea.

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