Nursing Elites

1. A container holds 10 liters of water. If 25% of the water is used, how many liters are left?

• A. 7.5 liters
• B. 8 liters
• C. 6.5 liters
• D. 8.5 liters

Correct answer: A

Rationale: To find the amount of water left after 25% is used, you need to calculate 75% of the total water. 75% of 10 liters is 7.5 liters, which means that 7.5 liters of water are left. Therefore, the correct answer is A. Choice B (8 liters) is incorrect because this would be the total water remaining if 20% was used, not 25%. Choice C (6.5 liters) is incorrect as it does not account for the correct percentage of water left. Choice D (8.5 liters) is incorrect as it miscalculates the amount of water remaining after 25% is used.

2. What must you always use in all math?

• A. PEMDAS
• B. Variables
• C. Conversion factors
• D. Estimation

Correct answer: A

Rationale: The correct answer is A: PEMDAS. PEMDAS stands for the order of operations: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). It is a fundamental rule to follow in mathematics to ensure calculations are done correctly. Choices B, C, and D are incorrect as they do not encompass the essential rule that PEMDAS provides for solving mathematical expressions.

3. Which of the following statements demonstrates a negative correlation between two variables?

• A. People who play baseball more tend to have more hits
• B. Shorter people tend to weigh less than taller people
• C. Tennis balls that are older tend to have less bounce
• D. Cars that are older tend to have higher mileage

Correct answer: C

Rationale: The correct answer is C. This statement demonstrates a negative correlation between two variables as it indicates that as tennis balls age, their bounce tends to decrease. In a negative correlation, as one variable increases, the other tends to decrease. Choices A, B, and D do not illustrate a negative correlation. Choice A describes a positive correlation, as playing baseball more is associated with having more hits. Choice B does not show a correlation but a general observation. Choice D also does not demonstrate a correlation; it simply states that older cars tend to have higher mileage, without implying a relationship between age and mileage.

4. 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 to Emma, leaving him with 10 apples. After giving 6 more to Jim, he has 4 apples left. Using ¾ of the remaining 4 apples for the pie leaves him with 1 apple at the end of the day. Choice A is incorrect because it doesn't account for the apple pie Xavier made. Choices B and C are incorrect as they don't reflect the correct calculations of apples remaining after each step.

5. What number is equivalent to -3 + 2 * 8 + 3?

• A. 11
• B. 31
• C. 28
• D. 80

Correct answer: B

Rationale: To solve this expression, we first follow the order of operations (PEMDAS/BODMAS). According to this rule, we start by multiplying 2 by 8, which equals 16. Then, we add -3 and 3 to get 0. Finally, adding 0 to 16 gives us the correct answer of 16. The correct answer is B. Choice A (11) results from adding all the numbers without considering the multiplication first. Choice C (28) is the result of adding all the numbers without considering any operations. Choice D (80) is incorrect as it does not correctly follow the order of operations.

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