a homeowner has hired two people to mow his lawn if person a is able to mow the lawn in 2 hr by herself and person b is able to mow the lawn in 3 hr b
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1. A homeowner has hired two people to mow his lawn. If person A is able to mow the lawn in 2 hours by herself and person B is able to mow the lawn in 3 hours by himself, what is the amount of time it would take for both person A and B to mow the lawn together?

Correct answer: C

Rationale: To find the combined work rate, you add the individual work rates: 1/2 + 1/3 = 5/6. This means that together, they can mow 5/6 of the lawn per hour. To determine how long it would take for both A and B to mow the entire lawn, you take the reciprocal of 5/6, which gives you 6/5 or 1.2 hours. Therefore, it would take 1.2 hours for person A and person B to mow the lawn together. Choice A (5 hours) is incorrect because it does not consider the combined efficiency of both workers. Choice B (2.5 hours) is incorrect as it does not reflect the correct calculation based on the combined work rates of the two individuals. Choice D (1 hour) is incorrect as it doesn't consider the fact that the combined rate is less than the individual rate of person A alone, thus taking longer than 1 hour.

2. What determines the defining characteristic of an element?

Correct answer: C

Rationale: The defining characteristic of an element is determined by the number of protons in its nucleus, which is referred to as the atomic number. The number of protons uniquely identifies an element. The correct answer is choice C because the number of protons in the nucleus of an atom defines its elemental identity, as different elements have a unique number of protons. Neutrons and electrons do play essential roles in the atom, but they do not determine the defining characteristic of an element. Neutrons contribute to the stability of the nucleus and isotopes of an element, while electrons are involved in chemical bonding and the reactivity of an atom.

3. Which of the following water-soluble vitamins is NOT synthesized in the large intestine?

Correct answer: A

Rationale: The correct answer is A: B6. Vitamin B6 is not synthesized in the large intestine, while biotin, pantothenic acid (Vitamin B5), and Vitamin K can be synthesized by gut microflora. Biotin, B5, and K are examples of water-soluble vitamins that can be produced in the large intestine, but B6 needs to be obtained through dietary sources. Therefore, B6 is the correct answer as it is not synthesized within the large intestine, unlike the other options.

4. During the Great Emu War, which of the following events happened immediately after the conflict resumed in mid-November?

Correct answer: D

Rationale: The correct answer is D. According to the extract, emus resorted to guerrilla tactics during the Great Emu War. This choice aligns with the information provided, indicating that the emus changed their tactics in response to the conflict. Choices A, B, and C are incorrect as there is no mention in the extract or historical context of military efforts becoming ineffective, the Australian government launching an initial assault, or the military withdrawing immediately after the conflict resumed in mid-November.

5. Which of the following perspectives can be inferred from the passage?

Correct answer: A

Rationale: The correct answer is A. The passage provided talks about the cyclical nature of going to the theatre and how it transports individuals into different stories. There is no mention of global aspects, inspirational qualities, or inapplicability related to cicadas and public interest in cicadas. Therefore, choices B, C, and D are incorrect as they are not supported by the passage.

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