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Which of the following is equivalent to 0.0009?
- A. 0.09%
- B. 9%
- C. 0.01%
- D. 0.90%
Correct Answer: A
Rationale: The correct answer is A: 0.09%. To convert 0.0009 to a percentage, move the decimal point four places to the right and add a percentage sign. Therefore, 0.0009 is equal to 0.09%. Choice B (9%) is incorrect as it represents 0.09 without the decimal point adjustment. Choice C (0.01%) is incorrect as it represents 0.0009 with one less zero. Choice D (0.90%) is incorrect as it represents 0.9 not 0.0009.
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In a local baseball team, 4 players, which represent 5% of the team, have long hair, and the rest have short hair. How many short-haired players are there on the team?
- A. 72
- B. 74
- C. 76
- D. 78
Correct Answer: C
Rationale: Given that 4 players represent 5% of the team, let's denote the total number of players as x. The equation to represent this situation is 0.05x = 4. Solving for x, we get x = 80, which is the total number of players on the team. Since 4 players have long hair, the remaining players have short hair, which is 80 - 4 = 76. Therefore, there are 76 short-haired players on the team. Choices A, B, and D are incorrect as they do not consider the total number of players correctly, leading to inaccurate calculations.
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.
81:X::9:27. Find X.
- A. 3
- B. 27
- C. 21
- D. 9
Correct Answer: B
Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.
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.
What is the result of multiplying 226 by 55.3?
- A. 12,500
- B. 12,541.8
- C. 12,600
- D. 12,450
Correct Answer: B
Rationale: The correct answer is 12,541.8. To find this result, you multiply 226 by 55.3, which equals 12,541.8. Choices A, C, and D are incorrect because they do not reflect the accurate multiplication of 226 by 55.3.