what is 15 of 95

HESI A2

HESI A2 Math Portion

1. What is 15% of 95?

A. 14.25
B. 18.5
C. 24.25
D. 28.5

Correct answer: A

Rationale: To find 15% of 95, you multiply 95 by 0.15 (which represents 15% as a decimal). Therefore, 95 * 0.15 = 14.25. The correct answer is A. Choice B, 18.5, is incorrect as it does not represent 15% of 95. Choices C and D, 24.25 and 28.5, are also incorrect calculations for 15% of 95.

2. A landscaping plan is drawn on a 1:50 scale. If a deck in the plan measures 12 cm by 10 cm, how large is the deck in real life?

A. 12 m by 10 m
B. 6 m by 5 m
C. 5 m by 2 m
D. 4 m by 3 m

Correct answer: B

Rationale: Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.

3. At the bake sale, Josie bought 3 brownies for $35 each. She paid with a $5 bill. What change did she receive?

A. $0.85
B. $0.95
C. $1.05
D. $1.15

Correct answer: B

Rationale: Josie bought 3 brownies for $35 each, totaling $3 x $35 = $105. She paid with a $5 bill, so the change she received would be $105 - $5 = $100. Therefore, Josie received $100 in change, which is equivalent to $0.95. Choice A, $0.85, is incorrect because the change is $100, not $0.85. Choice C, $1.05, is incorrect as it is not the correct change for the transaction. Choice D, $1.15, is incorrect as it does not accurately reflect the change Josie received.

4. Which number is the highest among 0.077, 0.777, 0.08, and 0.87?

A. 0.077
B. 0.777
C. 0.08
D. 0.87

Correct answer: D

Rationale: To determine the highest number among 0.077, 0.777, 0.08, and 0.87, we compare the numbers. 0.87 is greater than 0.777, 0.08, and 0.077, making it the highest number. Choice A (0.077), Choice B (0.777), and Choice C (0.08) are lower numbers compared to 0.87, so they are incorrect.

5. 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?

A. 42
B. 63
C. 84
D. 168

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.