Nursing Elites

1. What is 39 ÷ 8 ÷ 7/6?

• A. 56/39
• B. 39/8
• C. 4 & 7/8
• D. 5 & 8/14

Correct answer: A

Rationale: To solve the division problem, we need to remember the rule 'Dividing by a fraction is the same as multiplying by its reciprocal.' Therefore, 39 ÷ 8 ÷ 7/6 is equivalent to 39 ÷ 8 × 6/7. Simplifying this gives (39 × 6) ÷ (8 × 7) = 234 ÷ 56 = 56/39. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not correctly simplify the given division problem.

2. Convert 5 3/4 to a decimal. Round it to the nearest tenth.

• A. 5.75
• B. 5.7
• C. 6
• D. 5.8

Correct answer: D

Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Choice A, 5.75, is the exact conversion before rounding, so it is incorrect. Choice B, 5.7, is incorrect because it does not account for the 0.05 difference when rounding. Choice C, 6, is incorrect as it is the closest whole number but not a decimal approximation. Therefore, the correct answer is 5.8.

3. An architect is designing a rectangular room. The room has an area of 225 square feet and a width of 15 feet. What is the length of the room?

• A. 30 feet
• B. 15 feet
• C. 25 feet
• D. 45 feet

Correct answer: B

Rationale: The formula for the area of a rectangle is: Area = Length × Width. To find the length, divide the area by the width: 225 ÷ 15 = 15 feet. Therefore, the correct answer is 15 feet. Choice A (30 feet) is incorrect because it is the product of the area and the width, not the length. Choice C (25 feet) is incorrect as it does not match the result of dividing the area by the width. Choice D (45 feet) is incorrect as it is not the result of the calculation needed to find the length.

4. Change the following fraction into a ratio: 19/40

• A. 19:40
• B. 40:19
• C. 19:4
• D. 40:4

Correct answer: A

Rationale: To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:). Therefore, 19/40 as a ratio is written as 19:40. Choice B (40:19) is incorrect as it reverses the order of the numbers. Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio. Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.

5. What is the absolute value of -7?

• A. 49
• B. 17
• C. 7
• D. 14

Correct answer: C

Rationale: The absolute value of a number is its distance from zero on the number line, regardless of its sign. In this case, the absolute value of -7 is 7 because it is 7 units away from zero in the negative direction. Therefore, the absolute value of -7 is 7. Choice A (49) is incorrect as it is the square of -7, not the absolute value. Choice B (17) and Choice D (14) are incorrect values and do not represent the absolute value of -7.

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