Nursing Elites

1. A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer’s friend paid for their car. Which of the following is the amount that the friend paid for their car?

• A. $23,000
• B. $46,000
• C. $25,000
• D. $50,000

Correct answer: C

Rationale: To find the amount the friend paid, you can set up the equation 2x - 2000 = 48000, where x represents the amount the friend paid. Solving this equation gives x = $25,000. Therefore, the friend paid $25,000. Choice A ($23,000) is incorrect because it does not account for the $2,000 difference mentioned in the question. Choice B ($46,000) is incorrect because it is double the amount needed. Choice D ($50,000) is incorrect as it does not consider the $2,000 less mentioned in the question.

2. At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim’s house and gives him 6 of his apples. He then uses ¾ of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?

• A. 4
• B. 6
• C. 2
• D. 1

Correct answer: D

Rationale: Xavier starts with 20 apples. He gives half of his apples to his sister Emma, which is 20 ÷ 2 = 10 apples, leaving him with 10 apples. Then, he gives 6 apples to his neighbor Jim, leaving him with 10 - 6 = 4 apples. Using ¾ of his remaining 4 apples for the pie, he uses 3/4 x 4 = 3 apples. Therefore, he has 4 - 3 = 1 apple left at the end of the day. Choice D, 1 apple, is the correct answer. Choices A, B, and C are incorrect because Xavier ends up with 1 apple remaining, not 4, 6, or 2.

3. Which of the following is listed in order from least to greatest?

• A. -2 3/4, -2 7/8, -1/5, 2/5, 1/8
• B. -1/5, 1/8, 2/5, -2 3/4, -2 7/8
• C. -2 7/8, -2 3/4, -1/5, 1/8, 2/5
• D. 1/8, 2/5, -1/5, -2 7/8, -2 3/4

Correct answer: C

Rationale: To determine the order from least to greatest, we can convert all fractions and mixed numbers to decimals or use a least common denominator. Converting the fractions in Choice C to decimals, we get -2.875, -2.75, -0.2, 0.125, and 0.4 when reading from left to right. Negative integers with larger absolute values are less than negative integers with smaller absolute values. Therefore, the correct answer is Choice C. Choices A, B, and D are incorrect because they do not present the numbers in the correct order from least to greatest when converted to decimals or compared using common denominators.

4. What is the difference between two negative numbers?

• A. Negative number
• B. Positive number
• C. Zero
• D. Not enough information

Correct answer: B

Rationale: The correct answer is B: 'Positive number.' When you subtract one negative number from another negative number, the result can be a positive number. For example, the difference between -5 and -3 is 2, which is a positive number. Choice A, 'Negative number,' is incorrect because the result of subtracting two negative numbers can be positive. Choice C, 'Zero,' is incorrect because the difference between two negative numbers is not always zero. Choice D, 'Not enough information,' is incorrect because there is enough information to determine that the difference between two negative numbers can be a positive number.

5. If Mom's car drove 72 miles in 90 minutes, how fast did she drive in feet per second?

• A. 0.8 feet per second
• B. 48.9 feet per second
• C. 0.009 feet per second
• D. 70.4 feet per second

Correct answer: D

Rationale: To convert miles per hour to feet per second, first convert time to hours: 90 minutes = 1.5 hours. Then, calculate the speed in miles per hour: 72 miles in 1.5 hours = 48 mph. Finally, convert mph to feet per second using the conversion factor 1 mph = 1.47 feet per second: 48 mph * 1.47 = 70.4 feet per second. Therefore, the correct answer is 70.4 feet per second. Choices A, B, and C are incorrect because they do not reflect the correct conversion from miles per hour to feet per second.

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