AMC 8 Daily Practice Round 11

Complete problem set with solutions and individual problem pages

Problem 15 Easy

A three-digit number is divided by 37, resulting in a quotient of a and a remainder of b, where both a and b are non-negative integers. What is the maximum possible value of a + b?

  • A.

    60

  • B.

    62

  • C.

    64

  • D.

    66

  • E.

    68

Answer:B

From the problem statement, the maximum possible value of b is 36.

Since 999 = 37 \times 27

and 998 = 37 \times 26 + 36,

the maximum value of a + b is: 26 + 36 = 62.

Thus, the correct answer is B.

Related Problems
Problem 13 AMC 8 Daily Practice Round 11
Problem 14 AMC 8 Daily Practice Round 11
Problem 16 AMC 8 Daily Practice Round 11
Problem 17 AMC 8 Daily Practice Round 11
Think Academy Powered by ChatGPT