PSAT Math Multiple-Choice Question 839: Answer and Explanation

Question: 839

A particular black hole has a density of . A physicist is conducting a thought experiment in which she would like to approximate how much she would weigh if she had the density of a black hole rather than her current weight of 150 pounds, assuming her volume remained the same. Given that her overall body density is approximately and that there are approximately 2.2 pounds in a kilogram, approximately how many pounds would she weigh in her thought experiment?

• A. 2,178
• B. 151,500
• C. 990,000,000
• D. 2,178,000,000

Correct Answer: B

Explanation:

(B) Divide by to determine by what multiple her weight will increase. Her weight will be 1,010 times greater. Then multiply 1,010 by 150 pounds to get 151,500 pounds.