aptitude

Question

there are x no. of junior players in football club if you divide them into teams of seven players each 3 are left out  and if you divide them into teams of 11 each 2 are left out. how many possible values  X can be taken if X is less than 1000?

Answer 1

7m + 3 = 11n + 2

7m + 1 = 11n

Possible values of m, n are (3,2), (14,9), (25,16)...

Possible no. of players = 24, 101, 178, 255, ...948

Total possible values are 13