HESI A2
HESI A2 Math
1. If Mr. Parker owns 150 shares of stock in Stark Industries and receives $180.00 per year in dividends, how much does Mr. Rogers receive for an annual dividend if he owns 400 shares?
- A. $480
- B. $500
- C. $450
- D. $72,000
Correct answer: A
Rationale: To find out how much Mr. Rogers receives for an annual dividend with 400 shares, we can set up a proportion: 400 shares is to X dollars as 150 shares is to $180. This gives us 400 * $180 / 150 = $480 in annual dividends. Therefore, the correct answer is A. Choice B, $500, is incorrect because it does not consider the proportionality of shares to dividend amount. Choice C, $450, is incorrect as it does not reflect the correct calculation based on the given information. Choice D, $72,000, is significantly higher and incorrect as it does not align with the proportionality of shares and dividends.
2. A bag contains 5 red marbles and 7 blue marbles. If you draw a marble without looking, what is the probability it will be red?
- A. 1/4
- B. 1/3
- C. 1/2
- D. 2/3
Correct answer: B
Rationale: The total number of marbles in the bag is 5 (red) + 7 (blue) = 12 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: 5/12. Simplifying 5/12 gives 1/3. Therefore, the correct probability of drawing a red marble is 1/3. Choice A (1/4) is incorrect because there are more red marbles than 1/4 of the total marbles. Choice C (1/2) is incorrect as it represents half of the total marbles. Choice D (2/3) is incorrect as it implies there are more red marbles than there actually are.
3. Simplify the expression: -5 + (-8)
- A. -13
- B. 8
- C. 13
- D. -5
Correct answer: A
Rationale: When adding two negative numbers, you add their absolute values and keep the negative sign. In this case, -5 + (-8) is equal to -13 because the absolute values of 5 and 8 add up to 13, and the negative sign is retained. Choice B (8) is incorrect because adding two negative numbers results in a negative sum. Choice C (13) is incorrect as it doesn't consider the negative signs of the numbers being added. Choice D (-5) is incorrect because it does not account for the addition of the two negative numbers.
4. Lights out on the base is at 10:30 P.M. What would that be in military time?
- A. 1030
- B. 1300
- C. 1230
- D. 2230
Correct answer: D
Rationale: In military time, the time of 10:30 P.M. is represented as 2230. Military time follows a 24-hour clock system where hours are not converted to a 12-hour clock. Each hour is represented from 00 to 23. Therefore, 10:30 P.M. in military time is 2230. Choice A, 1030, is incorrect as it represents 10:30 A.M. Choice B, 1300, stands for 1:00 P.M., and Choice C, 1230, is equivalent to 12:30 P.M. Hence, the correct answer is D.
5. If Gwen's favorite summer drink is 2 parts fruit juice to 3 parts seltzer and she starts with a gallon of fruit juice, how many quarts of seltzer will she need?
- A. 3 quarts
- B. 4.5 quarts
- C. 5 quarts
- D. 6 quarts
Correct answer: D
Rationale: To maintain the ratio of 2 parts fruit juice to 3 parts seltzer, for every 2 parts of fruit juice, Gwen will need 3 parts of seltzer. Since a gallon of fruit juice is equivalent to 4 quarts, she will need 3 quarts of seltzer for every 2 quarts of fruit juice. For 4 quarts of fruit juice, she will require 6 quarts of seltzer. Therefore, Gwen will need 6 quarts of seltzer to make the summer drink for her friends. Choice A (3 quarts) is incorrect because it does not account for the correct ratio. Choice B (4.5 quarts) is incorrect because it is not a whole number and does not align with the ratio provided. Choice C (5 quarts) is incorrect as it does not match the proportional ratio of fruit juice to seltzer required.
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