the least common multiple lcm of two numbers is the smallest number that is a multiple of both which of the following represents the lcm of 14 and 21
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HESI A2

HESI A2 Math Practice Test 2022

1. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. Which of the following represents the LCM of 14 and 21?

Correct answer: C

Rationale: Rationale: To find the least common multiple (LCM) of 14 and 21, we need to determine the smallest number that is a multiple of both 14 and 21. First, list the multiples of 14: 14, 28, 42, 56, 70, 84, ... Next, list the multiples of 21: 21, 42, 63, 84, ... The smallest number that appears in both lists is 42. Therefore, the LCM of 14 and 21 is 42.

2. How many ounces are in a gallon?

Correct answer: B

Rationale: The correct answer is B: 128 oz. There are 128 ounces in a gallon. This is a standard conversion factor in the US customary system. Choices A, C, and D are incorrect because they do not reflect the accurate conversion of ounces in a gallon.

3. Convert 45 kg to pounds.

Correct answer: D

Rationale: To convert kilograms to pounds, you multiply the weight in kilograms by 2.20462. Therefore, to convert 45 kg to pounds, you would perform the calculation: 45 kg * 2.20462 = 99.2079 pounds. Rounding to the nearest whole number, the answer is approximately 110 pounds. Choice A (10 pounds) is incorrect as it is too low. Choice B (100 pounds) and Choice C (1,000 pounds) are also incorrect as they are too high. The correct conversion is closest to Choice D (110 pounds).

4. If a train travels at 80 kilometers per hour, how many kilometers will it travel in 3 hours?

Correct answer: A

Rationale: To find the total distance traveled, you need to multiply the speed of the train by the time it travels. So, 80 km/h * 3 hours = 240 kilometers. Therefore, the correct answer is 240 kilometers. Choice B (160 kilometers) is incorrect because it is the result of multiplying the speed by 2 hours instead of 3. Choice C (240 kilometers) is the same as the correct answer, making it redundant. Choice D (210 kilometers) is incorrect as it is the result of multiplying the speed by 2.5 hours instead of 3.

5. Subtract 2 5\8 - 7\8 and reduce.

Correct answer: A

Rationale: Subtract the fractions first: 2 5\8 - 7\8 = 1 & 5\8.

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