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Directions: Select a single answer choice.
Q. If 10x equals 0.1 percent of 10y, where x and y are integers, which of the following must be true?
  • a)
    y = x + 2
  • b)
    y = x + 3
  • c)
    x = y + 3
  • d)
    y = 1,000x
  • e)
    x = 1,000y
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: Select a single answer choice.Q. If 10x equals 0.1 percen...
The quantity 0.1 percent of m can be expressed as 0.1 / 100 m, which is equal to 1 / 100 m or 1 / 103m. Given that 10x equals 0.1 percent of 10y, it follows that
or 10x = 10y−3. Therefore x = y − 3, or y = x + 3. The correct answer is Choice B.
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Community Answer
Directions: Select a single answer choice.Q. If 10x equals 0.1 percen...
Explanation:

To solve this problem, we can start by translating the given information into an equation. We are told that 10x equals 0.1 percent of 10y.

Translation:

10x = 0.1% * 10y

To simplify this equation, we need to convert 0.1% to a decimal. 0.1% is equivalent to 0.001, or 1/1000.

10x = (1/1000) * 10y

We can simplify further by canceling out the 10 on both sides of the equation:

x = (1/1000) * y

Now that we have the equation x = (1/1000) * y, we can analyze the answer choices to determine which one must be true.

Analysis of answer choices:

a) y = x 2

This answer choice does not necessarily have to be true. The equation x = (1/1000) * y does not imply that y is equal to 2 times x.

b) y = x 3

This answer choice must be true. From the equation x = (1/1000) * y, we can see that y is equal to 3 times x.

c) x = y 3

This answer choice does not have to be true. The equation x = (1/1000) * y does not imply that x is equal to 3 times y.

d) y = 1,000x

This answer choice does not have to be true. The equation x = (1/1000) * y does not imply that y is equal to 1000 times x.

e) x = 1,000y

This answer choice does not have to be true. The equation x = (1/1000) * y does not imply that x is equal to 1000 times y.

Conclusion:

From the analysis of the answer choices, we can see that the only answer choice that must be true is b) y = x 3.
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Directions: Select a single answer choice.Q. If 10x equals 0.1 percent of 10y, where x and y are integers, which of the following must be true?a)y = x + 2b)y = x + 3c)x = y + 3d)y = 1,000xe)x = 1,000yCorrect answer is option 'B'. Can you explain this answer?
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Directions: Select a single answer choice.Q. If 10x equals 0.1 percent of 10y, where x and y are integers, which of the following must be true?a)y = x + 2b)y = x + 3c)x = y + 3d)y = 1,000xe)x = 1,000yCorrect answer is option 'B'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select a single answer choice.Q. If 10x equals 0.1 percent of 10y, where x and y are integers, which of the following must be true?a)y = x + 2b)y = x + 3c)x = y + 3d)y = 1,000xe)x = 1,000yCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select a single answer choice.Q. If 10x equals 0.1 percent of 10y, where x and y are integers, which of the following must be true?a)y = x + 2b)y = x + 3c)x = y + 3d)y = 1,000xe)x = 1,000yCorrect answer is option 'B'. Can you explain this answer?.
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