Nokea
Complete the following equation: x + x * x - x / x = ?
- A. 5
- B. 3
- C. 2
- D. 1
Correct Answer: B
Rationale: To solve the equation x + x * x - x / x, follow the order of operations (PEMDAS/BODMAS). First, perform the multiplication: x * x = x^2. Then, perform the division: x / x = 1. Substituting these back into the equation gives x + x^2 - 1. Therefore, the equation simplifies to x + x^2 - 1. By evaluating this further, the final result is 3. Choices A, C, and D are incorrect because they do not correctly apply the order of operations to solve the equation.
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There are 20 mg of acetaminophen in concentrated infant drops. If the proper dosage for a four-year-old child is 240 mg, how many milliliters should the child receive?
- A. 0.8 mL
- B. 1.6 mL
- C. 2.4 mL
- D. 3.2 mL
Correct Answer: C
Rationale: To find the correct dosage in milliliters, divide the total required dosage in milligrams (240 mg) by the concentration of the medication in milligrams per milliliter (20 mg/mL). This calculation yields 12 mL, which is the recommended volume for the child. Choice A, 0.8 mL, is incorrect as it does not correspond to the correct dosage. Choice B, 1.6 mL, is incorrect because it also does not match the calculated dosage. Choice D, 3.2 mL, is incorrect as it is not the accurate result of the dosage calculation. Therefore, the correct answer is C, 2.4 mL.
If the population of a city increases by 5% annually, what will the population be next year if the current population is 1,000?
- A. 1,050 people
- B. 1,200 people
- C. 1,100 people
- D. 1,300 people
Correct Answer: A
Rationale: To calculate the population increase, multiply the current population by 1 plus the percentage increase. So, 1,000 * 1.05 = 1,050 people. Therefore, the correct answer is A. Choice B (1,200 people) is incorrect because it represents a 20% increase from the current population, not 5%. Choice C (1,100 people) is incorrect as it reflects a 10% increase, not a 5% increase. Choice D (1,300 people) is incorrect, showing a 30% increase, which is not the scenario given.
If a person spends 1/4 of their day sleeping, how many hours do they spend sleeping?
- A. 6 hours
- B. 8 hours
- C. 4 hours
- D. 5 hours
Correct Answer: A
Rationale: To calculate the number of hours a person spends sleeping when 1/4 of the day is spent sleeping, you need to find 1/4 of 24 hours. 1/4 of 24 hours is 6 hours, so the correct answer is A. Choice B (8 hours) is incorrect because it does not correspond to 1/4 of a day. Choice C (4 hours) is incorrect as it is half of the correct answer. Choice D (5 hours) is incorrect as it does not match the calculation for 1/4 of a day.
Which of the following equations correctly models the relationship between x and y when y is three times x?
- A. y = 3x
- B. x = 3y
- C. y = x + 3
- D. y = x / 3
Correct Answer: A
Rationale: The correct equation that models the relationship between x and y when y is three times x is y = 3x. This equation represents that y is equal to three times x. Choice B (x = 3y) incorrectly reverses the relationship, stating that x is equal to three times y. Choice C (y = x + 3) and Choice D (y = x / 3) do not correctly represent a relationship where y is three times x, making them incorrect choices.
What percentage of the staff is certified and available to work in the neonatal unit during the holiday if 35% are on vacation and 20% of the remainder are certified?
- A. 0.07
- B. 0.13
- C. 0.65
- D. 0.8
Correct Answer: A
Rationale: After 35% of the staff are on vacation, 65% remain. Since 20% of the remaining staff are certified, you multiply 0.20 by 65% (0.20 * 65% = 0.13 or 13%). Therefore, the correct answer is 0.13 or 13%. Choices C and D are incorrect as they do not represent the correct calculation for the percentage of certified staff available. Choice B is incorrect because it incorrectly states the calculated percentage as 0.13 instead of 0.07.