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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

 Jun 5, 2022
 #1
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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.

 Jun 5, 2022

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