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Answers and Explanations

Answers and Explanations

1. C
Compare the values in each answer choice moving from left to right. In the tens place, all choices have sevens. In the ones place, (A) and (D) have twos, whereas the rest have threes, so (A) and (D) can be eliminated. In the tents place, (B) has a value of 5 whereas (C) and (E) have sixes, so (B) can be eliminated. Finally the hundredths place value of (C) is five, whereas that of (E) is two, so (E) can be eliminated, and (C) is the correct answer.

2. D
This problem requires you to determine a scale factor and to apply that to a given measurement. Because 2 scaled inches on the diagram equal 8 inches in reality, a scale factor of 8 divided by 2 = 4 is being used. If the speakers measure 6 inches in the diagram, we can multiply this by the scale factor to find their height in reality: 6 times 4 = 24. Because the answer choices are in feet and inches, convert 24 inches to feet by dividing 24 inches by 12 inches per foot to calculate that the speakers have an actual height of 24 divided by 12 = 2 feet, choice (D)

3. B
If each of 7 runners runs 1.27 kilometers, then the total distance run by the 7 runners is 8.89 kilometers (1.27 X 7). This is closest to 9. Choice (B) is correct.

4. E
The easiest way to solve this problem is to count in increments of four hours until the ninth reading, starting at 12:00 P.M.: 12:00 P.M., 4:00 P.M., 8:00 P.M., 12:00 A.M., 4:00 A.M., 8:00 A.M., 12:00 P.M., 4:00 P.M., 8:00 P.M.

5. A
If a number leaves a remainder of 5 when divided into 137, then two things must be true. The number must be greater than 5, and the number must divide evenly into (137-5) or 132. Only (A), 12 is greater than 5 and divides evenly into 132

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