THETA DIVISION

Question 51

Number Theory★★★★Question Bank

Loading saved statistics and bookmark… You can read the question while this loads.

⏱ Time: 0:00

Question

The population of Boringville can be represented by

450p

people where

p

represents some positive integer. Let

A

represent the number of people in Boringville that are under the age of 18, let

B

represent the number of people who are between 18 and 35, let

C

represent the number of people between 36 and 50,

D

represent the number of people between 51 and 65,

E

represent the number of people over 65. Given that the ratio of

A:B:C

1:3:7

and the ratio of

C:D:E

2:5:6

, what is the minimum possible value for

p

that guarantees an integer number of people in each category,

A,B,C,D,

and

E

Loading practice…

Getting your questions ready.