Nursing Elites

1. A landscaping plan is drawn on a 1:50 scale. If a deck in the plan measures 12 cm by 10 cm, how large is the deck in real life?

• A. 12 m by 10 m
• B. 6 m by 5 m
• C. 5 m by 2 m
• D. 4 m by 3 m

Correct answer: B

Rationale: Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.

2. A bag contains 5 red marbles and 7 blue marbles. If you draw a marble without looking, what is the probability it will be red?

• A. 1/4
• B. 1/3
• C. 1/2
• D. 2/3

Correct answer: B

Rationale: The total number of marbles in the bag is 5 (red) + 7 (blue) = 12 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: 5/12. Simplifying 5/12 gives 1/3. Therefore, the correct probability of drawing a red marble is 1/3. Choice A (1/4) is incorrect because there are more red marbles than 1/4 of the total marbles. Choice C (1/2) is incorrect as it represents half of the total marbles. Choice D (2/3) is incorrect as it implies there are more red marbles than there actually are.

3. How many feet are in 6 meters?

• A. 1.83 feet
• B. 18.48 feet
• C. 18.8 feet
• D. 19.68 feet

Correct answer: D

Rationale: To convert meters to feet, you can use the conversion factor: 1 meter = 3.28084 feet. Therefore, for 6 meters: 6 × 3.28084 = 19.684 feet. Rounding to two decimal places, the answer is 19.68 feet. Choice D, 19.68 feet, is the correct conversion. Choice A, 1.83 feet, is incorrect as it seems to be a miscalculation. Choice B, 18.48 feet, is incorrect as it doesn't match the correct conversion. Choice C, 18.8 feet, is also incorrect as it is not the accurate conversion from 6 meters to feet.

4. Solve for y if y = 3: 4y + 21 / y.

• A. 7.7
• B. 19
• C. 23/3
• D. 11

Correct answer: B

Rationale: To solve for y, substitute y = 3 into the equation: 4(3) + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A (7.7) is incorrect as it does not result from the substitution. Choice C (23/3) is incorrect as it does not match the calculated value. Choice D (11) is incorrect, as it is not the result of the provided equation.

5. What is the result of subtracting 2 5/8 from 7/8?

• A. 1 3/4
• B. 2
• C. 1
• D. 2 & 1/2

Correct answer: A

Rationale: To subtract 2 5/8 from 7/8, first, convert 7/8 to an equivalent fraction with the same denominator as 2 5/8, which is 8. 7/8 equals 1 whole and 1/8. Subtracting 1 whole from 2 whole results in 1 whole, and subtracting 1/8 from 5/8 gives 4/8 or 1/2. Therefore, the answer is 1 1/2, which simplifies to 1 3/4. Choice B, 2, is incorrect as it doesn't represent the correct result of the subtraction. Choice C, 1, is incorrect as it doesn't account for the fractional part of the answer. Choice D, 2 & 1/2, is incorrect as it doesn't match the calculated result of 1 3/4.

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