Question

Matt has a large family when looking at the dates of their birthdays, he noticed that every prime day had at least one birthday. this was also true for perfect squares cubes and multiples of 3,5,7, and 11. what days (1 to 31) are not represented

Answer 1

primes from 1 to 31
-- 2 3 5 7 11 13 17 19 23 29 31
perfect squares:
-- 1 4 9 16 25
perfect cubes:
-- 1 8 27
multiples of 3:
-- 3 6 9 12 15 18 21 24 27 30
multiples of 5:
-- 5 10 15 20 25 30
multiples of 7:
-- 7 14 21 28
multiples of 11:
-- 11 22

the only number I don't see in the above lists is 26

Answer 2

at 5pm a person 5 feet tall casts a 10 foot shadow. at the same time a flagpole casts a 40 foot shadow.what is the height of the flagpole?