Question
A man born in the first half of the nineteenth century was x years old in the year x2. He was born in ?
Answer: Option A
Clearly, the man was born between 1800 and 1850 is 1849.
$${\text{And, }}1849 = {\left( {43} \right)^2}$$
So, the man was 43 years old in 1849
$$\eqalign{
& {\text{Thus, he was born in }} \cr
& = \left( {1849 - 43} \right) \cr
& = 1806 \cr} $$
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Clearly, the man was born between 1800 and 1850 is 1849.
$${\text{And, }}1849 = {\left( {43} \right)^2}$$
So, the man was 43 years old in 1849
$$\eqalign{
& {\text{Thus, he was born in }} \cr
& = \left( {1849 - 43} \right) \cr
& = 1806 \cr} $$
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