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Q1 can't have A as its answer (otherwise it would contradict itself).
If Q1's answer was C (meaning Q4's answer was A), then Q3's answer would be C. However, Q2's answer should now be A, but this isn't allowed by Q1 (as Q4 is the first answer with A). This is a contradiction.
Therefore Q1's answer is B (meaning Q3's answer is A).
For Q2's answer to be C, Q4's answer would have to be A, which would contradict Q4. Therefore Q2's answer is B, making Q4's answer B.
Puzzle 118
Hidden in the grid below are eight, 7-letter words. Each word begins with the central R and you can move one letter in any direction to the next letter. All of the other letters are used exactly once each. What are the words?
T A E R O B O
E T G S T N W
R N E E A I E
I N U R E F R
N B U O E E E
B S E A E V E
I D H T S G N
My local bus company has recently expanded and no longer has enough room for all of its buses.
Twelve of their buses have to be stored outside.
If they decide to increase their garage space by 40%, this will give them enough room for all of their current buses, plus enough room to store another twelve in the future.
Hint: A tricky puzzle that will need a little algebra (or clever thinking).
Answer: 72 buses.
They have enough room for 60 of these, expanding the 60 capacity by 40% will give them enough room for 84, which we know is 12 more spaces than they currently need.
If they have B buses and S spaces before the expansion, they have enough room for:
S = B - 12 [1]
After the expansion they have more spaces, and enough room for:
S + 0.4 x S = B + 12 [2]
Rewriting [2] as:
1.4S = B + 12
and again as
B = 1.4S - 12 [3]
We can rewrite [1] as:
B = S + 12 [4]
Making [3] = [4] we have:
1.4S - 12 = S + 12
Subtracting S from both sides gives:
0.4S - 12 = 12
Adding 12 to both sides gives:
0.4S = 24
Multiplying by 10 and dividing by 4 on both sides gives:
Composer Format Length
Beethoven album 6
Holst single 7
Bach CD 8
Butler DAT 9
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Hidden in the grid below are eight, 7-letter words. Each word begins with the central R and you can move one letter in any direction to the next letter. All of the other letters are used exactly once each. What are the words?
My local bus company has recently expanded and no longer has enough room for all of its buses.
