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1986 AJHSME Problems/Problem 14

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Problem

If 200\leq a \leq 400 and 600\leq b\leq 1200, then the largest value of the quotient \frac{b}{a} is

\text{(A)}\ \frac{3}{2} \qquad \text{(B)}\ 3 \qquad \text{(C)}\ 6 \qquad \text{(D)}\ 300 \qquad \text{(E)}\ 600

Solution

Obviously, \frac{b}{a} will be largest if b is the largest it can be, and a is the smallest it can be.

Since b can be no larger than 1200, b = 1200. Since a can be no less than 200, a = 200. \frac{1200}{200} = 6

6 is \boxed{\text{C}}

See Also

1986 AJHSME (ProblemsResources)
Preceded by
Problem 13
Followed by
Problem 15
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