# Practice GMAT Problem Solving Question

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In baseball, the batting average is defined as the ratio of a playerâ€™s

*hits*to*at bats*. If a player had anywhere from 4 to 6*at bats*in a recent game and had anywhere from 2 to 3*hits*in the same game, the playerâ€™s actual batting average for that game could fall anywhere betweenCorrect Answer:

**C**- The ratio of a batting average is a fraction. As you decrease the numerator or increase the denominator, the fraction becomes smaller. Likewise, as you increase the numerator or decrease the denominator, the fraction becomes larger.
- In the case of a batting average, the numerator is "hits" (H) while the denominator is "at bats" (B). Thus, the ratio we are looking at is:

H/B, where 2<H<3 and 4<B<6. - To find the lowest value that the batting average could be, we want to assume the lowest numerator (hits of 2) and the highest denominator (at bats of 6): 2/6 = 0.333.
- Likewise, to find the highest value that the batting average could be, we want to assume the highest numerator (hits of 3) and the lowest denominator (at bats of 4): 3/4 = 0.75.
- Combining these answers yields the correct answer C: between 0.33 and 0.75.

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