# May 2012

**Problem**

The sum and product of three distinct positive integers are 15 and 45, respectively. What is the smallest integer?

A. 1 | C. 5 |

B. 9 | D. 3 |

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**Problem**

The area of a park on a map is 600 mm^{2}. If the scale of the map is 1 to 40,000 determine the true area of the park in hectares (1 hectare = 10^{4} m^{2}).

A. 112 | C. 96 |

B. 84 | D. 120 |

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**Problem**

Given the following equations:

$$ab = 1/8 \qquad ac = 3 \qquad bc = 6$$

Find the value of $a + b + c$.

A. $12$ | C. $\dfrac{4}{51}$ |

B. $\dfrac{7}{16}$ | D. $12.75$ |

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