Privacy Policy

Terms & Conditions

See Details We use cookies to personalise content and ads. We also share information about your use of our site with our advertising partners who may combine it with other information you've provided to them or they've collected from your use of their services.
Hint: The fourth player is the key to this tricky question.
Answer: 9 points.
Respectively the scores were 7, 14, 20, 30, 23, 9.
If the six player were A, B, C, D, E and F we know that:
A + B + C + D + E + F = 103 [1]
and
A = B ÷ 2
B = C  6
C = D x 2 ÷ 3
E = D  A (see note at end)
F = E  14
Since D is the letter we're missing information for, it's best to find all of the other letters in terms of D. These steps are left as an exercise, but the result is:
A = (2D  18) ÷ 6
B = (2D  18) ÷ 3
C = 2D ÷ 3
E = (2D + 9) ÷ 3
F = (2D  33) ÷ 3
We can then use these all in [1] to find that D = 30. Which allows us to find F = 9.
Small note: if we chose E = A  D (instead of E = D  A) we'd end up with a negative value for E, which isn't allowed.
Puzzle 39
The results for a recent Chess tournament between five close rivals is described below:
Dave finished before Adam.
Eileen finished after Betty.
Adam finished before Charles.
Eileen finished after Dave.
Betty finished before Adam.
Dave finished after Betty.
Charles finished before Eileen.
Hint: Try writing each statement as 'finished before'.
Answer: Betty won, then Dave, Adam, Charles and Eileen.
By placing the person who finished higher to the left we have:
1. Dave finished before Adam Dave > Adam 2. Eileen finished after Betty Betty > Eileen 3. Adam finished before Charles Adam > Charles 4. Eileen finished after Dave Dave > Eileen 5. Betty finished before Adam Betty > Adam 6. Dave finished after Betty Betty > Dave 7. Charles finished before Eileen Charles > Eileen
From 1 and 3:
Dave > Adam > Charles
Adding 7:
Dave > Adam > Charles > Eileen
Adding 6:
Betty > Dave > Adam > Charles > Eileen
Which is the final placing for all of the players, and can be double checked with the remaining clues.
Puzzle 40
Below are ten words, from each word, remove a single letter and rearrange the remaining letters to find ten new words which are related to each other.
ENERGY
DOORMAN
CLEAREST
WEIGHT
OUTLIVE
EMBARK
CALMER
SOLEMN
VOIDING
ARCHERY
ENERGY  Y = GREEN
DOORMAN  D = MAROON
CLEAREST  E = SCARLET
WEIGHT  G = WHITE
OUTLIVE  U = VIOLET
EMBARK  K = AMBER
CALMER  L = CREAM
SOLEMN  S = LEMON
VOIDING  V = INDIGO
ARCHERY  A = CHERRY
BrainBashers™ is a trademark. We use cookies to personalise content and ads. We also share information about your use of our site with our advertising partners who may combine it with other information you've provided to them or they've collected from your use of their services. For more information please view our privacy policy. By using the site you also agree to our terms and conditions.