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3. If x / y is an integer, which of the following statements must be true?
A. both x and y are integers
B. x is an integer
C. either x or y is negative
D. y / x is an integer
E. x = ny where n is an integer
4. What is the average of four tenths and five thousandths?
A. 25002
B. 2502
C. 0.225
D. 0.2025
E. 0.02025
3.Correct Answer: E
Explanation:
You can eliminate answer choices by picking numbers.
In case (A), x and y could, for example, both be equal fractions and x/y would be an integer.
For the same reason (B) does not have to be correct.
There is no reason for either of them to be negative.
Answer (D) does not need to be correct. Consider x/y = 6/3. Then y/x = 3/6, which is a fraction not an integer.
But rearranging x/y = n, we get x = ny which is therefore always true.
4.Correct Answer: D
Explanation:
Four tenths = 0.4
Five thousandths = 0.005
The average is (0.4 + 0.005)/2 = 0.2025
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