if 30 of a given number is 18 what is the full number
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HESI A2

HESI A2 Practice Test Math

1. If 30% of a given number is 18, what is the full number?

Correct answer: A

Rationale: If 30% of a number is 18, you can find the full number by dividing 18 by 0.30 (the decimal equivalent of 30%). This calculation results in 60. Therefore, the full number is 60. Choice B (30) is the result if 30% of the number itself was calculated, not the full number. Choices C (40) and D (45) are incorrect and do not align with the given information.

2. Multiply: 32 × 5 and express the result in decimal form.

Correct answer: D

Rationale: To find the product of 32 and 5, you simply multiply the two numbers: 32 × 5 = 160. Therefore, when expressed in decimal form, the answer is 1.6. Choices A, B, and C are incorrect as they do not represent the correct multiplication result in decimal form. Choice A is way too small, choice B is also too small, and choice C is close but still not the correct result.

3. Which of the following percentages is equal to 0.45?

Correct answer: D

Rationale: To convert 0.45 to a percentage, you multiply by 100: 0.45 × 100 = 45%. Therefore, the correct answer is D. 45%. Choice A, 4.5%, is incorrect. This percentage would be equal to 0.045, not 0.45. Choice B, 0.045%, is also incorrect. It represents 0.045, not 0.45. Choice C, 0.45%, is very close to the correct answer but actually represents 0.0045, not 0.45.

4. Subtract 12 - 7 4\5.

Correct answer: A

Rationale: Subtract the whole numbers and then subtract the fractions: 12 - 7 4\5 = 5 1\5.

5. Express 25 as a fraction in lowest terms.

Correct answer: C

Rationale: To express 25 as a fraction in lowest terms, we write it as 25/1. Then, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25. This results in 25/1 = 25/25 = 1 as the whole number part and 0 as the fractional part. Thus, 25 can be expressed as 1¼. Choice A (1⅖) is incorrect as it represents 1 and 2/5, which is not equivalent to 25. Choice B (1½) is incorrect as it represents 1 and 1/2, which is also not equivalent to 25. Choice D is empty and does not provide an answer.

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