Nursing Elites

1. Find the value of x if x:15=120:225.

• A. x=8
• B. x=10
• C. x=6
• D. x=12

Correct answer: A

Rationale: To solve x:15=120:225, set it up as a proportion: x/15 = 120/225. Simplify the right-hand side: 120/225 = 8/15. Now, solve for x by cross-multiplying: x = 8. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not align with the correct calculations.

2. 7:5=91:x. Find x.

• A. x=65
• B. x=55
• C. x=75
• D. x=85

Correct answer: A

Rationale: To solve the proportion 7:5=91:x, cross multiply to get 7x = 5 * 91. Then, solve for x by dividing both sides by 7, which gives x = 65. Therefore, the correct answer is x=65. Choice B, x=55, is incorrect because it does not satisfy the proportion equation. Choices C and D, x=75 and x=85, are also incorrect as they do not match the calculated value of x when the proportion is solved.

3. A nurse works in the military hospital from 1300 to 2000. How many hours does this nurse work?

• A. 8 hours
• B. 11 hours
• C. 7 hours
• D. 12 hours

Correct answer: C

Rationale: The nurse works from 1300 to 2000, which is a 7-hour period. To calculate the hours worked, subtract the start time from the end time: 2000 - 1300 = 700, which is equal to 7 hours. Choice A, 8 hours, is incorrect as it does not reflect the actual duration. Choice B, 11 hours, is incorrect as it overestimates the hours worked. Choice D, 12 hours, is incorrect as it is also an overestimation of the hours worked.

4. How many millimeters are in 4 meters?

• A. 400 mm
• B. 4000 mm
• C. 40 mm
• D. 100 mm

Correct answer: B

Rationale: To convert meters to millimeters, you need to know that there are 1000 millimeters in 1 meter. Therefore, to find out how many millimeters are in 4 meters, you multiply 4 (meters) by 1000 (millimeters per meter), which equals 4000 millimeters. Choice A, 400 mm, is incorrect because it represents 4 decimeters, not 4 meters. Choice C, 40 mm, is incorrect because it represents 4 centimeters, not 4 meters. Choice D, 100 mm, is incorrect because it represents 1 meter, not 4 meters.

5. The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?

• A. 36 cm
• B. 46 cm
• C. 51 cm
• D. 56 cm

Correct answer: A

Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.

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