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Puzzle 657
Below is a grid which should contain boy's names. The missing letters for a particular column are listed at the top of that column. Can you 'drop' the missing letters in and complete the grid?
Hint
How many students study chemistry and physics, but not biology?
Answer
500 students.
Reasoning
The answer is more easily seen if three intersecting circles are drawn, and the numbers inside each section are worked out.
We know that 73 students study all three disciplines, which allows us to work out the numbers.
97 students study chemistry and physics, so 97 − 73 = 24 study just chemistry and physics.
138 students study physics and biology, so 138 − 73 = 65 study just physics and biology.
152 students study chemistry and biology, so 152 − 73 = 79 study just chemistry and biology.
280 students study chemistry, so 280 − 73 − 24 − 79 = 104 study just chemistry.
254 students study physics, so 254 − 73 − 24 − 65 = 92 study just physics.
280 students study biology, 280 − 73 − 65 − 79 = 63 study just biology.
For a total of: 104 + 92 + 63 + 24 + 65 + 79 + 73 = 500 students.
The length of each word is the same length as the numbers one, two, three, four, five, six, etc.
The next number is SEVEN, which has 5 letters, and llama is the only word with 5 letters.
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Puzzle 660
I travelled from London to Glasgow last week at 60 miles per hour, I had filled my petrol tank just before I left, and it was full to the brim (25 gallons).
Unfortunately, my petrol tank sprang a leak immediately, and I only managed to drive 300 miles before I ran out of petrol.
My car does 30 miles per gallon, how fast was I losing petrol through the hole?
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