Nursing Elites

1. 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.

2. What is the result of adding 5 2/9 and 1 2/9?

• A. 6 4/9
• B. 7 5/9
• C. 7
• D. 5 2/9

Correct answer: A

Rationale: To add mixed numbers with fractions, first add the whole numbers together: 5 + 1 = 6. Then add the fractions: 2/9 + 2/9 = 4/9. Combining the whole number and the fraction parts gives 6 4/9. Therefore, the correct answer is 6 4/9. Choice B (7 5/9) is incorrect as the fractions were not added correctly. Choice C (7) is incorrect as it does not account for the fractions. Choice D (5 2/9) is one of the original numbers and not the sum of both.

3. Evaluate the following expression: -x + y + xy, when x = 4 and y = 2.

• A. 2
• B. 6
• C. 12
• D. 8

Correct answer: B

Rationale: To evaluate the expression, substitute x = 4 and y = 2 into the expression: -4 + 2 + 4*2. Calculate each term: -4 + 2 = -2, then 4*2 = 8. Adding these results gives -2 + 8 = 6. Therefore, the correct answer is 6. Choice A (2) is incorrect as it does not consider all terms in the expression. Choice C (12) is incorrect as it miscalculates the result by failing to account for the negative sign. Choice D (8) is incorrect as it doesn't consider the negative value of the first term in the expression.

4. Convert the fraction to the simplest possible ratio: 4/6

• A. 2:3
• B. 4:7
• C. 4:6
• D. 3:5

Correct answer: A

Rationale: To simplify the fraction 4/6, you can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 4 by 2 gives 2, and dividing 6 by 2 gives 3. Therefore, the simplest ratio of 4/6 is 2:3. Choice B (4:7) is incorrect because it does not result from simplifying the fraction. Choice C (4:6) is incorrect as it represents the original fraction, not the simplest form. Choice D (3:5) is incorrect as it does not match the simplified ratio of 4/6.

5. Train A leaves the station at 1:45 traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15, how many miles did it travel?

• A. 97.5 miles
• B. 75 miles
• C. 100 miles
• D. 130 miles

Correct answer: A

Rationale: Train A traveled for 1.5 hours at a speed of 65 mph. To find the distance traveled, we use the formula Distance = Speed x Time. Distance = 65 mph x 1.5 hours = 97.5 miles. Therefore, the correct answer is 97.5 miles. Choice B (75 miles) is incorrect because it does not account for the full 1.5 hours of travel time. Choice C (100 miles) and Choice D (130 miles) are incorrect as they are not calculated based on the given speed and time.

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