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25 1/7 - 12 5/7 = ?
- A. 12 3/7
- B. 14 1/7
- C. 13 5/6
- D. 13
Correct Answer: A
Rationale: To subtract mixed numbers, subtract the whole numbers and fractions separately. If necessary, borrow from the whole number when the fraction in the minuend is smaller than the fraction in the subtrahend.
The whole numbers are:
25 - 12 = 13. The fractions: 1/7 - 5/7. Since 1/7 is smaller, borrow 1 from 13, making it 12. Then convert 1 whole into 7/7, so the fraction becomes: (7/7 + 1/7) - 5/7 = 8/7 - 5/7 = 3/7. Thus, 25 1/7 - 12 5/7 = 12 3/7.
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Ratio and proportion: 6:10=24:x
- A. 40
- B. 25
- C. 240
- D. 4
Correct Answer: A
Rationale: To solve for x, use cross-multiplication:
6x = 10 x 24
6x = 240
Now, divide both sides by 6 to find x:
x = 240 / 6 = 40
Therefore, the correct answer is A. 40.
Choice B, 25, is incorrect because it does not satisfy the proportion.
Choice C, 240, is incorrect because it represents the value that is given in the proportion and not the value of x.
Choice D, 4, is incorrect as it does not align with the correct calculation for x.
A hospital nurse's schedule rotates every 4 days. The nurse works 3 days and has 1 day off. If the nurse's first day off is a Monday, what is the nurse's second day off?
- A. Friday
- B. Saturday
- C. Thursday
- D. Wednesday
Correct Answer: A
Rationale: The nurse's schedule repeats every 4 days, with 3 days of work and 1 day off. If the first day off is Monday, then after 4 days (Monday + 4 days), the second day off will fall on Friday. Therefore, the correct answer is A. Choice B (Saturday), C (Thursday), and D (Wednesday) are incorrect as they do not align with the 4-day rotation pattern after the first day off on Monday.
Solve for x if x=11. x+(44/2x)
- A. 2.5
- B. 33
- C. 55
- D. 13
Correct Answer: A
Rationale: Substitute x=11 into the expression:
11 + (44 / 2*11) = 11 + (44 / 22) = 11 + 2 = 13
Therefore, the correct answer is 13.
Choice A (2.5) is incorrect as the correct result is 13, not 2.5.
Choice B (33) is incorrect because it does not result from the given expression.
Choice C (55) is incorrect as it does not match the calculated value.
Choice D (13) is incorrect because the correct solution is 13, not 2.5.
Convert 2100 to standard time.
- A. 12:00 PM
- B. 2:00 AM
- C. 9:00 PM
- D. 2:00 PM
Correct Answer: C
Rationale: Military time is based on a 24-hour clock. To convert 2100 hours to standard time, subtract 1200 from the time if it is greater than or equal to 1300. In this case, 2100 - 1200 = 900, which corresponds to 9:00 PM in standard time. Choice A, 12:00 PM, is incorrect because 2100 is in the evening, not noon. Choice B, 2:00 AM, is incorrect as it represents the early morning hours. Choice D, 2:00 PM, is incorrect as it is in the afternoon, not the evening.
Three nurses worked 8-hour shifts. Nurse 1 monitored 6 patients during her shift. Nurse 2 monitored 8 patients, and Nurse 3 monitored 12 patients. How many patients were monitored in total?
- A. 26 patients
- B. 24 patients
- C. 20 patients
- D. 23 patients
Correct Answer: A
Rationale: To find the total number of patients monitored, add the patients monitored by each nurse: 6 (Nurse 1) + 8 (Nurse 2) + 12 (Nurse 3) = 26 patients. Therefore, the correct answer is 26 patients. Choice B (24 patients), Choice C (20 patients), and Choice D (23 patients) are incorrect as they do not correctly sum up the patients monitored by each nurse.