40th B.P.S.C. (Pre) 1995

A man’s age at the time of his death was twenty-ninth of the year of the year he was born. If the age at the time of death was in complete years, then what was his age in the year 1900?

a74 years
b45 years
c44 years✓ Correct
d54 years

Explanation

Let the age of man is 1900 = $x$ year. It is clear that his birth year was $(1900 - x)$ According to question , $(1900 - x,)$ is divisible by 29. $$\frac{1900 - x}{29} is an integer.$$ $$1900 - x = 1856 (1856 is also divisible by 29)$$ $\therefore x = 44$ years

general-mental-ability