divide 5117 31
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HESI A2

HESI A2 Math 2024

1. Divide: 5,117 ÷ 31 =

Correct answer: D

Rationale: When dividing 5,117 by 31, the quotient is 165 with a remainder of 2. The correct answer is 165 r2. Choices A, B, and C are incorrect as they do not reflect the correct division result. Choice A is close but has the wrong remainder. Choices B and C have incorrect quotients and remainders, making them inaccurate. Therefore, the correct answer is D, 165 r2.

2. Diamagnetism refers to a material's weak:

Correct answer: B

Rationale: Diamagnetism refers to a material's weak repulsion to magnetic fields. When diamagnetic materials are placed in an external magnetic field, they create an opposing magnetic field, leading to repulsion. This is why choice B, 'Repulsion to magnetic fields,' is the correct answer. Choices A, C, and D are incorrect because diamagnetic materials do not exhibit attraction, amplification, or indifference to magnetic fields.

3. The specific heat capacity of tin is 217 J/(g°C). Which of these materials would require about twice as much heat as tin to increase the temperature of a sample by 1°C?

Correct answer: D

Rationale: The correct answer is D: Aluminum. The specific heat capacity of aluminum is 0.904 J/(g°C), which is approximately 4 times that of tin. For a material to require about twice as much heat as tin to increase the temperature by 1°C, it should have a specific heat capacity roughly double that of tin. Therefore, aluminum fits this criterion better than the other options. Gold has a much lower specific heat capacity than tin, so it would require less, not more, heat to increase the temperature by 1°C. Copper and Iron also have specific heat capacities lower than tin, making them incorrect choices for requiring twice as much heat as tin.

4. A 0-kg block on a table is given a push so that it slides along the table. If the block is accelerated at 6 m/s2, what was the force applied to the block?

Correct answer: A

Rationale: According to Newton's second law of motion, F=ma. Since the block has a mass of 0 kg, the force applied must be 0 N, as no force is needed to move an object with zero mass.

5. What is the best title for the passage on bicycles?

Correct answer: C

Rationale: The correct answer is C: 'A Ride through the History of Bicycles.' This title best captures the passage's focus on the historical development and evolution of the bicycle from its invention to its modern form. Choice A, 'Bicycles Are Better,' is too general and doesn't encompass the historical aspect discussed in the passage. Choice B, 'Cycle Your Way to Fitness,' focuses solely on the fitness aspect of bicycles, ignoring the broader historical context. Choice D, 'The Popularity of Bicycles,' touches on one aspect but does not encompass the comprehensive historical journey presented in the passage.

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