Nursing Elites

1. A pressure vessel has a cylindrical body (diameter 10cm, height 20cm) with hemispherical ends (same diameter as the cylinder). What is its total surface area?

• A. 785 sq cm
• B. 1130 sq cm
• C. 1570 sq cm
• D. 2055 sq cm

Correct answer: D

Rationale: To find the total surface area, we need to calculate the surface area of the cylindrical body and both hemispherical ends separately. The surface area of the cylinder is the sum of the lateral surface area (2πrh) and the area of the two circular bases (2πr^2). For the hemispheres, the surface area of one hemisphere is (2πr^2), so for two hemispheres, it would be (4πr^2). Given that the diameter of the cylinder and hemispherical ends is 10cm, the radius (r) is 5cm. Calculating the individual surface areas: Cylinder = 2π(5)(20) + 2π(5)^2 = 200π + 50π = 250π. Hemispheres = 4π(5)^2 = 100π. Adding these together gives a total surface area of 250π + 100π = 350π cm^2, which is approximately equal to 2055 sq cm. Therefore, the correct answer is D. Choice A (785 sq cm) is incorrect as it is significantly lower than the correct calculation. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not reflect the accurate surface area calculation for the given dimensions.

2. What number is 15, if it is 20% of that number?

• A. 3
• B. 45
• C. 75
• D. 300

Correct answer: B

Rationale: To find the number that 15 is 20% of, we set up the equation: x * 0.20 = 15. Solving for x, we get x = 15 / 0.20 = 75. Therefore, 15 is 20% of 75. Choice A, 3, is too small to be 20% of 15. Choice C, 75, is the result of the correct calculation. Choice D, 300, is too large to be 20% of 15.

3. Multiply 4/9 x 1 & 4/5 x 2/5.

• A. 15
• B. 7/16
• C. 8/25
• D. 19

Correct answer: C

Rationale: To multiply fractions, you multiply the numerators together and the denominators together. Calculating 4/9 x 1 & 4/5 x 2/5 gives you (4 x 1) / (9 x 1) & (4 x 2) / (5 x 5) = 4/9 & 8/25. Therefore, the correct answer is 8/25. Choices A, B, and D are incorrect because they do not result from the correct multiplication of the fractions provided.

4. 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.

5. What is 2/3 of 60 + 1/5 of 75?

• A. 45
• B. 55
• C. 15
• D. 50

Correct answer: B

Rationale: To solve the expression, first calculate 2/3 of 60 by multiplying 60 by 2/3, which equals 40. Then, calculate 1/5 of 75 by multiplying 75 by 1/5, which equals 15. Finally, add these results together: 40 + 15 = 55. Therefore, the correct answer is 55. Choice A (45) is incorrect because it seems to be the sum of the two fractions, not their individual calculations. Choice C (15) is incorrect because it only represents 1/5 of 75. Choice D (50) is incorrect as it might be a miscalculation of the sum of the two fractions.

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