there are 15 yellow and 35 orange balls in a basket how many more yellow balls must be added to make the yellow balls 65
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HESI A2

HESI A2 Math Practice Exam

1. How many more yellow balls must be added to the basket to make the yellow balls constitute 65% of the total number of balls?

Correct answer: B

Rationale: To find the total number of balls needed to make the yellow balls 65% of the total, let x be the total number of balls required. Initially, there are 15 yellow balls. The total number of balls would be 15 + x after adding more yellow balls. The equation to represent this is: (15 + x) / (15 + x) = 0.65 (since the yellow balls need to constitute 65% of the total). Solving this equation gives x = 50, indicating that 50 more yellow balls need to be added to the basket to reach the desired percentage. Choice A, C, and D are incorrect as they do not accurately represent the additional yellow balls needed to achieve the specified percentage.

2. What conclusion can be drawn from the passage on bicycles?

Correct answer: B

Rationale: The correct conclusion that can be drawn from the passage is that bicycles have evolved significantly over time. The passage discusses the evolution of bicycles from their early wooden, pedal-less designs to the modern safety bicycle with equal-sized wheels and chain-driven pedals. Each inventor mentioned in the passage contributed to significant improvements in bicycle design, making them more efficient and popular for transportation and recreation. Choice A is incorrect because the passage does not mention bicycles evolving continuously for centuries, but rather highlights specific innovations over time. Choice C is incorrect as the passage clearly describes the various improvements and changes made to bicycles since their invention. Choice D is also incorrect as the passage emphasizes the continued popularity and usefulness of bicycles for transportation all over the world.

3. What is the primary function of enzymes?

Correct answer: B

Rationale: Enzymes function to speed up reactions by lowering the activation energy required for the reaction to occur. They act as biological catalysts, providing an alternative pathway for the reaction to proceed more rapidly without being consumed in the process. Choices A, C, and D are incorrect because enzymes do not provide energy for reactions (they do not generate energy), their primary function is not to decrease activation energy (though they do lower it), and while they act as catalysts, the primary function is to speed up reactions by lowering activation energy.

4. The strength of a magnetic field is measured in units of:

Correct answer: B

Rationale: The Tesla (T) is the unit of measurement for the strength of a magnetic field. One Tesla is defined as one weber per square meter. Amperes (choice A) measure electric current, Volts (choice C) measure electric potential, and Coulombs (choice D) measure electric charge, making them incorrect choices for measuring the strength of a magnetic field.

5. Which word or phrase fits best in the following sentence? Cathy asked many questions the first time she ___________ at the hospital.

Correct answer: A

Rationale: The correct word to use in this sentence is 'volunteered' as it indicates an action that Cathy did in the past. The sentence suggests that Cathy was engaging in volunteering at the hospital for the first time, so the past tense form 'volunteered' is the most appropriate choice. Choice B ('volunteering') is incorrect because it is the present participle form and does not fit the past tense context of the sentence. Choice C ('was volunteered') is passive voice and implies that someone else made Cathy volunteer, which is not the intended meaning. Choice D ('volunteer') is incorrect as it is the base form of the verb and does not match the past tense requirement of the sentence.

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