A man born in the first half of the nineteenth century was x years old in the year x2. He was born in:
Explanation:
Let the year of the man’s birth be y.
Then, y + x = x2
∴ y = x(x – 1)
Now looking at the options we find that only 1806 can be written in the form x(x – 1), where x = 43.
Hence, option (a).
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