Nursing Elites

1. A train takes 1.5 hours at a constant speed of 65 mph to arrive at the destination. How many miles did the train travel?

• A. 97.5 miles
• B. 100 miles
• C. 98 miles
• D. 95 miles

Correct answer: A

Rationale: To calculate the distance traveled, multiply the speed by the time taken: 65 mph × 1.5 hours = 97.5 miles. Therefore, the correct answer is A. Choice B (100 miles) is incorrect as it results from rounding up, which is not necessary. Choice C (98 miles) and Choice D (95 miles) are incorrect as they do not reflect the correct calculation based on the given speed and time.

2. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?

• A. 80 inches by 100 inches
• B. 40 inches by 50 inches
• C. 4.8 inches by 6 inches
• D. 4 inches by 5 inches

Correct answer: B

Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.

3. Solve for x: 3x + 9 = 0.

• A. x = -3
• B. x = -3
• C. x = 1
• D. x = 0

Correct answer: B

Rationale: To solve the equation 3x + 9 = 0, first, isolate the variable x. Subtract 9 from both sides to get 3x = -9. Then, divide by 3 to solve for x, giving x = -3. Therefore, the correct answer is B. Choice A, x = -3, is the correct solution. Choices C and D are incorrect as they do not satisfy the equation when substituted back into it.

4. Change 1/6 to a percent.

• A. 16.67%
• B. 15%
• C. 14%
• D. 17%

Correct answer: A

Rationale: To convert 1/6 to a percentage, you multiply 1/6 by 100. This gives you 16.67%. Choice A is correct. Choice B, 15%, is incorrect as it is the rounded value of 1/6 as a percentage. Choice C, 14%, and Choice D, 17%, are also incorrect as they do not represent the accurate conversion of 1/6 to a percentage.

5. Express 2/5 as a decimal.

• A. 0.2
• B. 0.25
• C. 0.4
• D. 2.5

Correct answer: C

Rationale: To express 2/5 as a decimal, you divide the numerator (2) by the denominator (5). 2 ÷ 5 = 0.4. Choice A (0.2) is the decimal equivalent of 1/5, not 2/5. Choice B (0.25) is the decimal equivalent of 1/4, not 2/5. Choice D (2.5) is not the correct decimal equivalent of 2/5 as it is greater than 1.

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