Nursing Elites

1. What is an equivalent fraction?

• A. A fraction that looks different but represents the same value
• B. A fraction that is smaller than another fraction
• C. A fraction that is larger than another fraction
• D. A fraction that has the same numerator as another fraction

Correct answer: A

Rationale: An equivalent fraction is a fraction that may look different in terms of its numerator and denominator but still represents the same value or quantity. This means that when you simplify or expand a fraction, its value remains unchanged. Choice B and C are incorrect because equivalent fractions are not determined by being smaller or larger than another fraction; it is about representing the same quantity. Choice D is incorrect because equivalent fractions may have different numerators as long as the ratio between the numerator and denominator remains the same.

2. Robert is planning to drive 1,800 miles on a cross-country trip. If his car gets 30 miles per gallon and his tank holds 12 gallons of gas, how many tanks of gas will he need to complete the trip?

• A. 3 tanks
• B. 5 tanks
• C. 30 tanks
• D. 60 tanks

Correct answer: B

Rationale: To find out how many tanks of gas Robert needs for the 1,800-mile trip, first, we calculate the distance his car can travel on a full tank: 30 miles per gallon × 12 gallons = 360 miles per tank. Next, divide the total trip distance by the distance per tank: 1,800 miles ÷ 360 miles per tank = 5 tanks. Therefore, Robert will need 5 tanks of gas to complete the cross-country trip. Choices A, C, and D are incorrect as they do not accurately calculate the number of tanks needed based on the given information.

3. What is a factor?

• A. A number that you multiply to get another number
• B. A number that divides evenly into another number
• C. A number that can be both multiplied and divided by another number
• D. A number that is greater than 1

Correct answer: A

Rationale: A factor is a number that can be multiplied by another number to produce a third number. When you multiply factors together, you get the original number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because these numbers can be multiplied in pairs to give the product 12. Choice B is incorrect as it describes a divisor. Choice C is incorrect because factors are only multiplied, not divided. Choice D is incorrect because factors can be any number, not just those greater than 1.

4. If a product's original price is $80 and it is discounted by 20%, what is the final price?

• A. 64
• B. 60
• C. 70
• D. 66

Correct answer: A

Rationale: To find the discounted price, you first calculate 20% of the original price: 20% of $80 is $16. Subtracting this discount amount from the original price gives the final price: $80 - $16 = $64. Therefore, the final price after a 20% discount on a product originally priced at $80 is $64. Choice B, $60, is incorrect because it does not account for the correct discount amount. Choice C, $70, is incorrect as it does not reflect the reduction due to the 20% discount. Choice D, $66, is incorrect as it miscalculates the discounted price.

5. The cost, in dollars, of shipping x computers to California for sale is 3000 + 100x. The amount received when selling these computers is 400x dollars. What is the least number of computers that must be shipped and sold so that the amount received is at least equal to the shipping cost?

• A. 10
• B. 15
• C. 20
• D. 25

Correct answer: B

Rationale: To find the least number of computers that must be shipped and sold so that the amount received is at least equal to the shipping cost, we set up the inequality 400x >= 3000 + 100x. Simplifying this inequality gives 300x >= 3000, and dividing by 300 results in x >= 10. Therefore, at least 15 computers must be shipped and sold to cover the shipping cost, making choice B the correct answer. Choices A, C, and D are incorrect as they represent numbers less than 15, which would not cover the shipping cost.

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