Nursing Elites

1. What number is 98 175% of?

• A. 48
• B. 52
• C. 54
• D. 56

Correct answer: D

Rationale: To find the number that 98 is 175% of, we can set up the equation: x = 1.75 * x. By solving this equation, we get x = 56. Therefore, 98 is 175% of 56. Choice D, 56, is the correct answer as it represents the number that satisfies the given condition. Choices A, B, and C are incorrect as they do not result in 98 when multiplied by 1.75.

2. A car travels 240 miles in 4 hours. What is its speed in miles per hour?

• A. 50 mph
• B. 60 mph
• C. 55 mph
• D. 75 mph

Correct answer: B

Rationale: To calculate speed, divide the distance traveled by the time taken: 240 miles ÷ 4 hours = 60 mph. Therefore, the correct answer is B. Choice A (50 mph) is incorrect as it results from an incorrect calculation. Choice C (55 mph) and D (75 mph) are also incorrect because they are not the correct result of dividing 240 miles by 4 hours.

3. Subtract 5/6 - 3/4.

• A. 1/12
• B. 2/24
• C. 1/2
• D. 1/8

Correct answer: A

Rationale: To subtract fractions, find a common denominator. The common denominator for 6 and 4 is 12. So, 5/6 = 10/12 and 3/4 = 9/12. Subtracting 10/12 - 9/12 gives us 1/12 as the result. Choice A, 1/12, is the correct answer because it represents the simplified result of subtracting the fractions with the common denominator. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result of 1/12 after finding the common denominator.

4. Solve for x: 2 : 5 :: 64 : x

• A. 32
• B. 70
• C. 128
• D. 160

Correct answer: C

Rationale: The symbol '::' represents a proportion in which the first pair of numbers is related to the second pair of numbers. To solve for x in the proportion 2 : 5 :: 64 : x, you can set up a proportion equation: 2/5 = 64/x. Cross-multiplying gives you 2x = 5 * 64, which simplifies to 2x = 320. Dividing both sides by 2, you get x = 160. Therefore, x = 128 is the correct answer. Choice A (32) is incorrect as it is not the result of solving the proportion equation. Choice B (70) is incorrect as it is not related to the given proportion. Choice D (160) is a common mistake made by wrongly interpreting the equation; the correct value of x is 128.

5. Add: 3 1/8 + 1 1/4.

• A. 4 3/8
• B. 4 1/2
• C. 4 3/4
• D. 5 1/4

Correct answer: A

Rationale: To add mixed numbers, first add the fractions: 1/8 + 1/4 = 3/8. Then, add the whole numbers: 3 + 1 = 4. Therefore, 3 1/8 + 1 1/4 = 4 3/8. Choice B (4 1/2) is incorrect because the fractions were not added correctly, leading to an incorrect result. Choice C (4 3/4) is incorrect as it does not represent the correct sum of the two mixed numbers. Choice D (5 1/4) is incorrect as it provides a result that is higher than the correct sum of the mixed numbers.

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