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traveling at 50 mph will cover the 600 miles in 12 hours; this does not meet the 2-hour difference mentioned If car R is traveling at answer B s 50 mph, then it will take 12 hours to cover 600 miles, while car P will cover it in 10 hours at 60 mph; this meets the 2-hour difference specified in the question, so B is the correct answer

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E 30 x

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ANSWER: E If Finn was 18 months old 1 year ago, then he is now 18 + 12 = 30 months old 30 x represents his age x months ago

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28 For any numbers a and b, a b = ab(3 b) If a and a b both represent positive numbers, which of the following could be a value of b A B C D E 5 2 2 4 7

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31 A restaurant orders 150 kg of pumpkins from the farmer s market The farmer fills the order with 23 pumpkins The average mass of the first 20 pumpkins is 65 kg What must be the minimum average mass of the remaining 3 pumpkins to fill the order A B C D E 55 kg 567 kg 667 kg 7 kg 115 kg

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ANSWER: C The most direct approach to this sort of problem is to plug in the answers and see which one works Choices A and B are out because any negative value for b would result in a negative value for a b if a is positive C works because it gives the result a b = 2a, which has to be positive D and E do not work because they result in negative values for a b Therefore, C is the only answer that provides a possible value for b

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ANSWER: C The remaining three pumpkins must make up the difference between 150 kg and (20 pumpkins 65 kg =) 130 kg, so 20 kg For three pumpkins to fill 20 kg, each must have a minimum mass of 20 divided by 3, which equals 62/3, which is best expressed here as 667 kg

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29 Marcella has 25 pairs of shoes If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left A B C D E 21 20 19 16 15

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32 The square root of 636 is between which set of integers A B C D E 24 and 25 25 and 26 26 and 27 27 and 28 28 and 29

ANSWER: B The greatest number of matching pairs remaining will occur when the greatest number of lost shoes are part of matching pairs; if four matching pairs and one other individual shoe were lost, then Marcella would still have 20 matching pairs left

ANSWER: B The best solution here is to plug in the numbers from the answers until you find one that works 24 24 = 576, 25 25 = 625, 26 26 = 676 therefore, the square root of 636 is between 25 and 26

30 If Finn was 18 months old one year ago, how old was he in months, x months ago A B C D x 30 x 12 18 x 24 x

33 In a forest 150 deer were caught, tagged with electronic markers, then released A week later, 50 deer were captured in the same forest Of these 50 deer, it was found that 5 had been tagged with the electronic markers If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest

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