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In a class of 28 people, there are 12 men and 16 women. What is the ratio of men to women?
- A. 3:4
- B. 4:7
- C. 12:16
- D. 1:2
Correct Answer: A
Rationale: The correct ratio of men to women is 3:4. To find the ratio, divide the number of men by the number of women: 12 men / 16 women = 3/4, which simplifies to 3:4. Therefore, in a class of 28 people with 12 men and 16 women, the ratio of men to women is 3:4. Choice B (4:7) is incorrect because it does not accurately reflect the given numbers of men and women in the class. Choice C (12:16) is incorrect as it represents the actual count of men and women, not the ratio. Choice D (1:2) is incorrect as it does not match the proportion of men to women in the class.
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Sarah had 1 quart of milk. How many ounces of milk is that?
- A. 16 ounces
- B. 24 ounces
- C. 32 ounces
- D. 48 ounces
Correct Answer: C
Rationale: The correct answer is 32 ounces. One quart is equivalent to 32 ounces. To convert quarts to ounces, you need to know that 1 quart equals 32 ounces. Therefore, 1 quart of milk is equal to 32 ounces. Choices A, B, and D are incorrect as they do not accurately convert 1 quart to ounces.
What is three tenths of 90?
- A. 18
- B. 45
- C. 27
- D. 36
Correct Answer: C
Rationale: To find three tenths of 90, you need to multiply 90 by 0.3 (since three tenths equals 0.3). Therefore, 90 * 0.3 = 27. This calculation shows that the correct answer is 27. Choice A (18), choice B (45), and choice D (36) are incorrect as they do not represent three tenths of 90.
If Mr. Johnson gives half of his pay to his family, $250 to his landlord, and has exactly 3/7 of his pay left over, how much pay does he receive?
- A. $3,600
- B. $3,500
- C. $2,800
- D. $1,750
Correct Answer: B
Rationale: Let Mr. Johnson's pay be represented as x. After giving half of his pay to his family, he has x/2 left. Subtracting $250 paid to his landlord, he has x/2 - $250 remaining. Given that this remaining amount is 3/7 of his original pay, the equation becomes x/2 - $250 = 3x/7. Solving this equation shows that x = $3,500. Therefore, Mr. Johnson receives $3,500. Choices A, C, and D are incorrect as they do not align with the correct calculation based on the given conditions in the question.
If 3 books cost $4, how much will 6 books cost?
- A. $8
- B. $12
- C. $6
- D. $10
Correct Answer: A
Rationale: To find the cost of 1 book, divide the total cost by the number of books: $4 / 3 = $1.33 per book. To determine the cost of 6 books, multiply the cost per book by 6: $1.33 * 6 = $8. Therefore, purchasing 6 books will cost $8. Choice B, $12, is incorrect as it incorrectly doubles the cost of 3 books. Choice C, $6, is incorrect as it is half the cost of 3 books. Choice D, $10, is incorrect as it does not accurately calculate the cost of 6 books based on the given information.
Convert 5 3/4 to a decimal. Round to the nearest tenth.
- A. 5.75
- B. 5.7
- C. 5.8
- D. 6
Correct Answer: C
Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Therefore, the correct answer is 5.8. Choice A, 5.75, is the result before rounding to the nearest tenth. Choice B, 5.7, is incorrect as it does not account for the 0.05 difference when rounding. Choice D, 6, is the next whole number and is not the correct decimal equivalent of 5 3/4.