Nursing Elites

1. Change 0.26 to a fraction.

• A. 7/8
• B. 13/50
• C. 26/100
• D. 1/3

Correct answer: B

Rationale: To convert a decimal to a fraction, the decimal is written without the decimal point as the numerator. For 0.26, this gives 26. The denominator is based on the place value of the decimal, which is the number of decimal places the decimal has. In this case, 0.26 has two decimal places, so the fraction is 26/100, which simplifies to 13/50. Choice A (7/8) is incorrect as it does not represent 0.26. Choice C (26/100) is also incorrect because it is not in its simplest form. Choice D (1/3) is incorrect as it is not the correct equivalent fraction for 0.26.

2. A team from the highway department can replace 14 streetlights in 7 hours of work. If they work a 30-hour week at this job, in how many weeks will they replace all 120 downtown streetlights?

• A. 1½ weeks
• B. 2 weeks
• C. 2½ weeks
• D. 3 weeks

Correct answer: B

Rationale: If the team can replace 14 streetlights in 7 hours, it means they replace 2 streetlights per hour. In a 30-hour week, they can therefore replace 2 x 30 = 60 streetlights. To replace all 120 downtown streetlights, they will need 120 / 2 = 60 hours, which is equivalent to 60 / 30 = 2 weeks. Therefore, the correct answer is 2 weeks. Choice A, 1½ weeks, is incorrect because it doesn't consider the total number of streetlights that need to be replaced. Choice C, 2½ weeks, is incorrect as it overestimates the time needed. Choice D, 3 weeks, is incorrect as it underestimates the efficiency of the team in replacing streetlights.

3. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?

• A. -5
• B. i^5
• C. 5√-1
• D. 1/5i

Correct answer: C

Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.

4. The physician ordered 16 mg of Ibuprofen per kg of body weight; on hand are 80 mg tablets. The child weighs 15 kg. How many tablets will you give?

• A. 3 tablets
• B. 2 tablets
• C. 1 tablet
• D. 2.5 tablets

Correct answer: B

Rationale: To calculate the total dose required for the child, multiply the child's weight (15 kg) by the prescribed dose per kg (16 mg/kg): 15 kg * 16 mg/kg = 240 mg. Next, determine how many tablets are needed to reach this total dose: 240 mg / 80 mg per tablet = 3 tablets. However, since you cannot give a fraction of a tablet, the correct answer is 2 tablets. Choice A is incorrect because it miscalculates the number of tablets needed. Choice C is incorrect because only 1 tablet is not sufficient to reach the required dose. Choice D is incorrect because you cannot give a partial tablet, so it has to be rounded down to the nearest whole tablet.

5. A train takes 1.5 hours at a constant speed of 65 mph to arrive at the destination. How many miles did the train travel?

• A. 97.5 miles
• B. 100 miles
• C. 98 miles
• D. 95 miles

Correct answer: A

Rationale: To calculate the distance traveled, multiply the speed by the time taken: 65 mph × 1.5 hours = 97.5 miles. Therefore, the correct answer is A. Choice B (100 miles) is incorrect as it results from rounding up, which is not necessary. Choice C (98 miles) and Choice D (95 miles) are incorrect as they do not reflect the correct calculation based on the given speed and time.

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