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An office manager makes photocopies for the entire staff each day. At the end of the week, she finds that the photocopy machine has made a total of 3,475 copies. If 6 people used the copier and each person made the same number of copies, how many copies did each person make?
- A. 579 copies
- B. 680 copies
- C. 670 copies
- D. 585 copies
Correct Answer: A
Rationale: To find out how many copies each person made, divide the total number of copies made (3,475) by the number of people who used the copier (6). This gives 579 copies per person (3,475 · 6 = 579). Therefore, each person made 579 copies. Choices B, C, and D are incorrect as they do not result from the correct division of the total number of copies by the number of people who used the copier.
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There are 225 pieces of candy in a large jar. Ben wants to give the 25 campers in his group an equal amount of candy. How many pieces of candy will each camper receive?
- A. 9 pieces
- B. 7 pieces
- C. 8 pieces
- D. 6 pieces
Correct Answer: A
Rationale: To determine how many pieces of candy each camper will receive, divide the total number of pieces of candy (225) by the number of campers (25): 225 · 25 = 9 pieces per camper. Therefore, each camper will receive 9 pieces of candy to ensure they all get an equal amount. Choice B, 7 pieces, is incorrect because the total number of candy pieces divided equally among 25 campers results in 9 pieces per camper, not 7. Choice C, 8 pieces, and choice D, 6 pieces, are also incorrect as they do not accurately reflect the division of 225 pieces of candy among 25 campers.
How many grams of carbohydrates are in a product if it contains 4 servings, and each serving has 8 grams of carbohydrates?
- A. 32 grams
- B. 28 grams
- C. 24 grams
- D. 20 grams
Correct Answer: A
Rationale: To calculate the total grams of carbohydrates in the product, you multiply the number of servings by the grams of carbohydrates per serving. Given that each serving has 8 grams of carbohydrates and there are 4 servings, the total would be 4 servings * 8 grams = 32 grams. Therefore, the correct answer is A: 32 grams. Choices B, C, and D are incorrect as they do not correctly calculate the total grams of carbohydrates based on the information provided.
A patient needs to increase his calcium intake. If each tablet contains 500 mg of calcium and the patient needs to take 1,500 mg per day, how many tablets should the patient take?
- A. 3 tablets
- B. 4 tablets
- C. 2 tablets
- D. 5 tablets
Correct Answer: A
Rationale: To calculate the number of tablets needed, divide the total daily calcium intake required (1,500 mg) by the amount of calcium in each tablet (500 mg). 1,500 mg · 500 mg = 3 tablets. Therefore, the patient should take 3 tablets to meet the 1,500 mg daily intake. Choice B, 4 tablets, is incorrect because it would exceed the required 1,500 mg. Choice C, 2 tablets, is insufficient to meet the daily intake. Choice D, 5 tablets, is also incorrect as it would exceed the required amount.
What is the result of adding 1/2 + 4/5?
- A. 1 3/10
- B. 1/2/2024
- C. 1 2/5
- D. 1 1/5
Correct Answer: A
Rationale: To add fractions, you need a common denominator. In this case, the common denominator is 10. So, 1/2 + 4/5 = 5/10 + 8/10 = 13/10 = 1 3/10. Therefore, the correct answer is A: 1 3/10. Choice B, 1/2/2024, is incorrect as it does not represent the sum of the fractions given. Choice C, 1 2/5, is incorrect as it does not match the sum calculated. Choice D, 1 1/5, is incorrect as it does not reflect the correct sum of the fractions provided.
A set of integers can be classified as positive, negative, or zero. Which of the following statements about multiplying positive and negative integers is ALWAYS true?
- A. The product will always be positive.
- B. The product will always be negative.
- C. The product will depend on the specific positive and negative numbers used.
- D. Positive and negative integers cannot be multiplied.
Correct Answer: B
Rationale: When multiplying a positive integer by a negative integer, the product will always be negative. This is a fundamental rule of arithmetic. The sign of the product is determined by the rule that states a positive number multiplied by a negative number results in a negative number. Therefore, the statement that the product will always be negative is always true when multiplying positive and negative integers. Choice A is incorrect because the product is not always positive when multiplying positive and negative integers. Choice C is incorrect because the product is not dependent on the specific numbers but on the signs of the integers being multiplied. Choice D is incorrect as positive and negative integers can be multiplied.