- #1
K Sengupta
- 113
- 0
B is a positive 8-digit base ten integer of the form PQRSTUVW that contains precisely 8 distinct digits from 1 to 9, and satisfies all of the following conditions:
(i) PQ is divisible by 2.
(ii) PQR is divisible by 3.
(iii) PQRS is divisible by 4.
(iv) PQRST is divisible by 5.
(v) PQRSTU is divisible by 6.
(vi) PQRSTUV is divisible by 7.
(vii) PQRSTUVW is divisible by 8.
Determine all possible value(s) that B can assume.
(i) PQ is divisible by 2.
(ii) PQR is divisible by 3.
(iii) PQRS is divisible by 4.
(iv) PQRST is divisible by 5.
(v) PQRSTU is divisible by 6.
(vi) PQRSTUV is divisible by 7.
(vii) PQRSTUVW is divisible by 8.
Determine all possible value(s) that B can assume.