When asked his age, a man replied that when it was divided by 2, 3, 4 or 6, there was one left over in each case. When his age was divided by 7 there was no remainder. How old was he?

+1 vote

When asked his age, a man replied that when it was divided by 2, 3, 4 or 6, there was one left over in each case. When his age was divided by 7 there was no remainder. How old was he?

0 votes

**He has to be 49.**

When his age was divided by 7 there was no remainder. This means his age is a multiple of 7 as 7 is a prime. His age can't be 7 because 4 will yield a remainder of 3. So the next higher power 7^2 or 7×7 = 49 is the answer as 7×2, 7x3, 7x4, 7×5 and 7×6 are not an option.

49/2 = 24 + (1/2)

49/3 = 16 + (1/3)

49/4 = 12 + (1/4)

49/6 = 8 + (1/6).

Too easy

...