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What is the result of adding 4/3 + 7/3?
- A. 3 2/3
- B. 1 5/6
- C. 2 1/3
- D. 1 1/6
Correct Answer: A
Rationale: To add the fractions 4/3 and 7/3, combine the numerators: (4 + 7)/3 = 11/3. The sum 11/3 can be expressed as the mixed number 3 2/3. Therefore, the correct answer is A) 3 2/3.
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A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set in 1.5 hours, and the fourth set in 1.6 hours. How long did it take her to complete the course?
- A. 5.3 hours
- B. 5.4 hours
- C. 4 hours
- D. 5 hours
Correct Answer: A
Rationale: To determine the total time taken to complete the 24-mile course, we sum the time taken for each set of 6 miles. The time taken for the first 6 miles is 1 hour, the second set of 6 miles took 1.2 hours, the third set took 1.5 hours, and the fourth set took 1.6 hours. Adding these times together: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to finish the 24-mile course.
Find x: 40:5 = 60:x
- A. 7.5
- B. 1.5
- C. 12
- D. 15
Correct Answer: A
Rationale: To find the value of x in the proportion 40:5 = 60:x, you can cross multiply. This gives you 40 * x = 5 * 60, which simplifies to 40x = 300. To solve for x, divide both sides by 40, resulting in x = 300 / 40 = 7.5. Therefore, the correct answer is A, 7.5. The other choices can be eliminated by following the correct mathematical procedure. Choice B, 1.5, is incorrect as it does not satisfy the proportion equation. Choices C and D, 12 and 15, respectively, are also incorrect as they are not the solutions obtained by solving the proportion equation.
What is the result of adding 6, 12.55, and 5.022?
- A. 18.572
- B. 23.572
- C. 30.025
- D. 16.575
Correct Answer: B
Rationale: To find the sum of 6, 12.55, and 5.022, you need to add the numbers together: 6 + 12.55 + 5.022 = 23.572. Therefore, the correct answer is B, which equals 23.572. Adding the three numbers together gives you the total sum. In this case, the sum is 23.572, making it the correct answer choice.
What is 54% of $789.56?
- A. $426.36
- B. $526.38
- C. $363.20
- D. $426.37
Correct Answer: A
Rationale: To calculate 54% of $789.56, you multiply $789.56 by 0.54 (which is the decimal form of 54%). This gives you approximately $426.36. Therefore, the correct answer is A, as it represents 54% of the given amount.
Add: 1/4 + 3/8 =
- A. 5/8
- B. 1/2
- C. 4/12
- D. 1/3
Correct Answer: A
Rationale: To add the fractions, first convert 1/4 to a common denominator with 3/8. The common denominator is 8: (1/4) = 2/8. Then, add: 2/8 + 3/8 = 5/8. Therefore, the correct answer is A) 5/8.