which of the following numbers is not divisible by 3
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HESI A2

HESI A2 Math 2024

1. Which of the following numbers is NOT divisible by 3?

Correct answer: D

Rationale: To determine if a number is divisible by 3, we can check if the sum of its digits is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3. A) 105: 1 + 0 + 5 = 6, which is divisible by 3. Therefore, 105 is divisible by 3. B) 141: 1 + 4 + 1 = 6, which is divisible by 3. Therefore, 141 is divisible by 3. C) 273: 2 + 7 + 3 = 12, which is divisible by 3. Therefore, 273 is divisible by 3. D) 810: 8 + 1 + 0 = 9, which is not divisible by 3. Therefore, 810 is NOT divisible by 3. Therefore, the correct answer is D (810). Choices A, B, and C are all divisible by 3 as the sum of their digits is divisible by 3.

2. What is the role of the liver in detoxification?

Correct answer: C

Rationale: The correct answer is C. The liver's primary function in detoxification is to convert harmful toxins into less harmful substances. This process helps in safeguarding the body from the adverse effects of toxins and is essential for maintaining overall health. Choices A, B, and D are incorrect because secreting bile, storing glucose, and producing insulin are functions of the liver unrelated to detoxification.

3. According to the Clausius inequality, for a cyclic process involving heat transfer between a system and its surroundings at a single constant temperature (T), the following inequality must hold true:

Correct answer: D

Rationale: The Clausius inequality states that for a cyclic process involving heat transfer at a single constant temperature, the integral of heat transfer divided by temperature (∫ dQ/T) must be less than or equal to zero. This inequality reflects the irreversibility of natural processes. Choice A is incorrect as there is a direct relationship between heat transfer and temperature in the Clausius inequality. Choice B is incorrect because the integral of dQ/T must be less than or equal to zero, not greater than or equal to zero. Choice C is incorrect because the integral of Q/T is not a constant in a cyclic process involving heat transfer at a single constant temperature.

4. The abbreviation YOB on a medical form refers to a patient’s ___________.

Correct answer: D

Rationale: The abbreviation YOB stands for 'Year of Birth.' It is used on medical forms to refer to a patient's birthdate, indicating the year in which the individual was born. Therefore, the correct answer is D. Choices A, B, and C are incorrect because YOB does not pertain to weight, ethnicity, or symptoms; it specifically relates to the patient's birthdate.

5. What is the function of amylase?

Correct answer: A

Rationale: The correct answer is A: Breaking down starch. Amylase is an enzyme that specifically functions to break down starch into smaller sugar molecules such as maltose and glucose. This process is essential for the digestion and absorption of carbohydrates in the body. Choices B, C, and D are incorrect because amylase does not digest fat, break down protein, or absorb water; its primary function lies in starch digestion.

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