Nursing Elites

1. Repeating decimals can be expressed as fractions. Which of the following represents the decimal 0.7777... as a fraction?

• A. 77/1000
• B. 70/99
• C. 777/900
• D. 7/9

Correct answer: D

Rationale: To express the repeating decimal 0.7777... as a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point to the right gives: 10x = 7.7777... Subtracting the original equation from the new equation eliminates the repeating decimal: 10x - x = 7.7777... - 0.7777... 9x = 7 x = 7/9. Therefore, the decimal 0.7777... can be expressed as the fraction 7/9. Choices A, B, and C are incorrect as they do not accurately represent the decimal 0.7777... when converted to a fraction.

2. In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?

• A. 1
• B. 9
• C. 12
• D. 20

Correct answer: B

Rationale: If two-thirds of the students are boys, then one-third of the students must be girls. One-third of 27 is 9, so there are 9 girls in Mr. Garcia's class. Therefore, the correct answer is 9. Choice A is incorrect because it is too low; only one-third of the students are girls. Choices C and D are incorrect as they do not reflect the correct calculation based on the given information in the question.

3. Round to the tenths place: What is 6.4% of 32?

• A. 1.8
• B. 2.1
• C. 2.6
• D. 2.0

Correct answer: B

Rationale: To find 6.4% of 32, first calculate 6.4% as a decimal (0.064) and then multiply it by 32 to get 2.048. When rounding to the tenths place, 2.048 is rounded to 2.1 because the digit after the tenths place is 8, which is equal to or greater than 5. Choice A is incorrect as it does not reflect the accurate calculation. Choices C and D are also incorrect because they do not match the correct result of multiplying 6.4% by 32 and rounding to the tenths place.

4. A roast was cooked at 325°F in the oven for 4 hours. The internal temperature rose from 32°F to 145°F. What was the average rise in temperature per hour?

• A. 20
• B. 32
• C. 28
• D. 37°F/hr

Correct answer: C

Rationale: The temperature increased from 32°F to 145°F, resulting in a total increase of 145°F - 32°F = 113°F. Dividing this total increase by the 4 hours of cooking time gives an average rise of 113°F ÷ 4 = 28.25°F per hour, which can be rounded to 28°F per hour. Therefore, the correct answer is 28. Choice A (20) is incorrect because it does not reflect the actual average rise in temperature per hour. Choice B (32) is incorrect as it does not consider the total temperature increase and divide it by the total hours. Choice D (37°F/hr) is incorrect as it does not match the calculated average rise in temperature per hour.

5. Express 2/5 as a decimal.

• A. 0.2
• B. 0.25
• C. 0.4
• D. 2.5

Correct answer: C

Rationale: To express 2/5 as a decimal, you divide the numerator (2) by the denominator (5). 2 ÷ 5 = 0.4. Choice A (0.2) is the decimal equivalent of 1/5, not 2/5. Choice B (0.25) is the decimal equivalent of 1/4, not 2/5. Choice D (2.5) is not the correct decimal equivalent of 2/5 as it is greater than 1.

Similar Questions