a package of 10 pencils is divided between every 2 students in class if there are 20 students in class then how many pencils are needed
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HESI A2

HESI A2 Math 2024

1. If a package of 10 pencils is divided between every 2 students in a class with 20 students, how many pencils are needed?

Correct answer: D

Rationale: If 20 students are divided into pairs, there would be 10 pairs in total (20 students / 2 = 10 pairs). Since each pair receives 10 pencils, the total number of pencils needed is calculated by multiplying the number of pairs (10 pairs) by the number of pencils each pair receives (10 pencils per pair), resulting in 100 pencils required. Therefore, the correct answer is 100 pencils. Choices A, B, and C are incorrect because they do not consider the correct pairing of students or the total number of pencils needed for each pair.

2. What is the numerical value of the Roman numeral XVII?

Correct answer: B

Rationale: The Roman numeral XVII represents the number 17. In Roman numerals, X stands for 10 and V stands for 5. When V (5) is subtracted from X (10), it results in 5 being subtracted from 10, which equals 5. Adding this to V (5) gives the total value of XVII as 17. Choice A is incorrect because it is not the correct numerical value of XVII. Choice C and D are also incorrect as they do not correspond to the Roman numeral XVII.

3. How many meters are in 5 kilometers?

Correct answer: B

Rationale: To convert kilometers to meters, you need to multiply the number of kilometers by 1000 since there are 1000 meters in 1 kilometer. Therefore, 5 kilometers is equal to 5 × 1000 = 5000 meters. Choice A (1000) is incorrect because it represents the number of meters in 1 kilometer, not 5 kilometers. Choice C (10000) is incorrect as it is the result of multiplying 10 (not 5) by 1000. Choice D (500) is incorrect as it represents half the correct conversion value.

4. What is 75% of 80?

Correct answer: D

Rationale: To calculate 75% of 80, you multiply 0.75 by 80, which equals 60. Therefore, the correct answer is 60. Choices A, B, and C are incorrect because they do not represent 75% of 80. Choice A (35) is close to 50% of 80, Choice B (45) is close to 56.25% of 80, and Choice C (70) exceeds 80.

5. Convert the fraction 7/8 into a decimal and percent.

Correct answer: A

Rationale: To convert the fraction 7/8 into a decimal, you divide 7 by 8, which equals 0.875. To express this decimal as a percentage, you multiply it by 100 to get 87.5%. Choices B, C, and D are incorrect because they do not represent the correct conversion of the fraction 7/8 into a decimal and a percent.

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