Hint
It will take a while to check 1 x 7, 2 x 7, 3 x 7. What do we know about the answer?
Answer
63,492 x 7 = 444,444
Reasoning
We can work backwards, as we know that the number multiplied by 7 has only 4's. We can try the following:
4 ÷ 7 ≈ 0.57 x
44 ÷ 7 ≈ 6.29 x
444 ÷ 7 ≈ 63.43 x
4,444 ÷ 7 ≈ 634.86 x
44,444 ÷ 7 ≈ 6,349.14 x
444,444 ÷ 7 = 63,492
??
Puzzle 2
What is the minimum number of queens required on a chessboard such that all squares are attacked?
Hint
It's not just the vowels that have a problem.
Answer
H, S, and T.
Reasoning
It should read:
"Can you tell what is wrong with this paragraph? At first glance you may think that just the vowels have problems, but no! Three consonants also have problems, they have been replaced with the letter R, but which ones are they?"
Hint
There are three feet in a yard, and 1,760 yards in a mile.
Answer
Seconds in a week.
Reasoning
There are 60 x 60 x 24 x 7 = 604,800 seconds in a week.
There are 3 x 1760 x 100 = 528,000 feet in 100 miles.
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