When teams of same size are formed from three groups of 512, 430 and 489 students separate 8, 10 and 9 students respectively are left over. What could be the largest size of the team?
A. 6
B. 12
C. 18
D. 60
Did you try the calculator on this site?
1 - Press "2nd" key in the top left-hand corner.
2 - You should see a key labled "mod" to the right.
3 - Enter your first number, 512, then "mod" key followed by 6. Does it give you the remainder of 8?
4 - If you don't get 8, repeat the procedure: 512 mod 12. Does it give you the remainder of 8?
5 - If it does, go to the next number: 430 mod 12. Does it give you the remainder of 10?
6 - If it does, go to the next number: 489 mod 12. Does it give you the remainde of 9?
7 - If it gives the remainders of: 8, 10 and 9, then your "modulus" is 12, or B.......and so on.
8 - Good luck to you.
