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If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
- A. 6
- B. 5.5
- C. 5
- D. 4.5
Correct Answer: A
Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
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Subtract 2 5/8 - 7/8 and reduce
- A. 1 & 5/8
- B. 1 & 1/4
- C. 1 & 6/8
- D. 1 & 3/4
Correct Answer: D
Rationale: To subtract fractions, ensure the denominators are the same, then subtract the numerators. In this case, 2 5/8 - 7/8 = (2 - 1) 5/8 = 1 5/8. Since 5/8 cannot be further simplified, the answer is 1 & 5/8 in mixed number form. However, for the final answer in reduced form, 5/8 can be simplified to 4/8, which is equivalent to 1/2. Therefore, the correct reduced answer is 1 & 3/4, making choice D the correct answer.
If Mr. Parker owns 150 shares of stock in Stark Industries and receives $180.00 per year in dividends, how much does Mr. Rogers receive for an annual dividend if he owns 400 shares of the same company?
- A. 480
- B. 500
- C. 450
- D. 72000
Correct Answer: A
Rationale: To determine how much Mr. Rogers receives annually in dividends for his 400 shares, you can set up a proportion based on the number of shares. The ratio of dividends to shares for Mr. Parker is $180/150 = $1.20 per share. By applying this ratio to Mr. Rogers with 400 shares, the calculation would be $1.20 x 400 = $480. Therefore, the correct answer is A, $480.
Calculate the product: (7.2)(0.34) =
- A. 14.12
- B. 0.234
- C. 7.64
- D. 2.448
Correct Answer: D
Rationale: When multiplying decimals, treat the numbers as whole numbers and then position the decimal point in the product so that it has the same total number of decimal places as the numbers being multiplied. In this case, multiplying 7.2 by 0.34 results in 2.448.
Change 8.08 to a fraction, reduced to the lowest terms.
- A. 8 1\12
- B. 88/1000
- C. 8 2/25
- D. 80/100
Correct Answer: C
Rationale: To change 8.08 to a fraction, we note that 8.08 = 8 + 0.08 = 8 + 8/100 = 8 8/100 = 8 2/25. Therefore, the correct answer is C. Option A is incorrect as it represents a mixed number. Option B is incorrect as it does not represent the decimal 8.08 as a fraction. Option D is incorrect as it does not reduce the fraction to the lowest terms.
A healthcare professional works in a military hospital from 1300 to 2000 hours. How many hours does this healthcare professional work?
- A. 8 hours
- B. 11 hours
- C. 7 hours
- D. 12 hours
Correct Answer: C
Rationale: To calculate the number of hours worked, subtract the starting time from the ending time. In military time, 2000 is equivalent to 8:00 PM, and 1300 is equivalent to 1:00 PM. Subtracting 1:00 PM from 8:00 PM gives us 7 hours of work. Therefore, the correct answer is 7 hours, as the healthcare professional worked from 1:00 PM to 8:00 PM.