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HESI A2

HESI A2 Math Portion

1. Multiply: 2 × 5 =

Correct answer: D

Rationale: When you multiply 2 by 5, the result is 10, not 13. Therefore, the correct answer is 10, which is option D. Choices A, B, and C are incorrect because they do not represent the correct product of multiplying 2 by 5.

2. What is the result of dividing 3.44 by 0.6?

Correct answer: B

Rationale: The correct answer is B: 5.73. When dividing 3.44 by 0.6, the calculation is 3.44 ÷ 0.6 = 5.73. Choice A (11.41) is incorrect because it is the result of multiplying, not dividing. Choice C (2.33) and Choice D (0.57) are also incorrect results obtained by incorrect calculations.

3. What is the least common multiple (LCM) of 4 and 6?

Correct answer: A

Rationale: To find the least common multiple (LCM) of 4 and 6, we need to determine the smallest number that is a multiple of both 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24, ... The multiples of 6 are: 6, 12, 18, 24, ... The least common multiple is the smallest number that appears in both lists. In this case, the least common multiple of 4 and 6 is 12, not 24. Therefore, the correct answer is 24. Choice B (12) is actually the least common multiple of 4 and 3, not 4 and 6. Choices C (6) and D (3) are not multiples of both 4 and 6, so they are incorrect.

4. Solve for x: 2 : 5 :: 64 : x

Correct answer: C

Rationale: The symbol '::' represents a proportion in which the first pair of numbers is related to the second pair of numbers. To solve for x in the proportion 2 : 5 :: 64 : x, you can set up a proportion equation: 2/5 = 64/x. Cross-multiplying gives you 2x = 5 * 64, which simplifies to 2x = 320. Dividing both sides by 2, you get x = 160. Therefore, x = 128 is the correct answer. Choice A (32) is incorrect as it is not the result of solving the proportion equation. Choice B (70) is incorrect as it is not related to the given proportion. Choice D (160) is a common mistake made by wrongly interpreting the equation; the correct value of x is 128.

5. What is 35% of 70?

Correct answer: B

Rationale: To find 35% of a number, you multiply the number by 0.35. In this case, 35% of 70 is calculated as 70 x 0.35 = 24.5. Choice A (17.5) is incorrect because it represents 25% of 70. Choice C (35) is incorrect as it is the percentage itself, not the result of the calculation. Choice D (50) is incorrect as it does not represent the result of finding 35% of 70.

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