Nursing Elites

1. If a rat can finish a maze in about 3 minutes, how much longer will it take the rat to finish the maze if a small backpack is put on it, reducing its speed by 50%?

• A. 3 minutes
• B. 4 minutes
• C. 6 minutes
• D. 1.5 minutes

Correct answer: C

Rationale: Reducing the rat's speed by 50% means it will take twice as long to finish the maze. Since the original time is 3 minutes, doubling that gives 6 minutes. Therefore, the total time will be 6 minutes, making the correct answer C. Choice A (3 minutes) is the original time it takes the rat to finish the maze, not the time with the backpack. Choice B (4 minutes) is not correct as reducing the speed by 50% would double the original time. Choice D (1.5 minutes) is incorrect as halving the time is not the effect of reducing the speed by 50%.

2. A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?

• A. The average temperature is 5 degrees Celsius.
• B. All temperatures are within 5 degrees of each other.
• C. The difference between the highest and lowest temperatures is 5 degrees.
• D. There are exactly 5 temperatures in the set.

Correct answer: C

Rationale: Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.

3. Add 6 & 3/4 + 8 & 1/6.

• A. 35/6
• B. 14 & 2/5
• C. 14 & 11/12
• D. 12 & 3/24

Correct answer: C

Rationale: To add mixed numbers, first add the whole numbers together, then add the fractions. 6 + 8 = 14. For the fractions: 3/4 + 1/6 = (18 + 4) / 24 = 22/24 = 11/12. Therefore, 6 & 3/4 + 8 & 1/6 equals 14 & 11/12. Choice A is incorrect as it does not represent the correct sum. Choice B is incorrect because it does not match the correct result. Choice D is incorrect as it simplifies to 12 & 1/6, not 12 & 3/24.

4. A baseball team won 72 games. This was 90% of the games it played. How many games did it play?

• A. 75
• B. 80
• C. 85
• D. 100

Correct answer: B

Rationale: Let the total number of games be x. If the team won 72 games, which is 90% of the total games played, we can set up the equation: 72 = 0.90 * x. To find x, divide 72 by 0.90: x = 72 / 0.90 = 80 games. Therefore, the baseball team played 80 games in total. Choice A, 75, is incorrect because it is less than 80. Choice C, 85, is incorrect as it is more than 80. Choice D, 100, is incorrect as it is significantly more than the calculated total of 80 games.

5. Solve for y if y = 3: 4y + 21/y

• A. 19
• B. 7.7
• C. 23/3
• D. 11

Correct answer: A

Rationale: To solve the expression 4y + 21/y when y = 3, substitute y = 3: 4 * 3 + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A, '19,' is the correct result of the expression when y = 3. Choice B, '7.7,' is incorrect as the correct answer is an integer, not a decimal. Choice C, '23/3,' is incorrect as it is not the simplified integer result of the expression. Choice D, '11,' is incorrect as it does not result from the given expression when y = 3.

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