Nursing Elites

1. What is the result of multiplying (3/5) by (5/8)?

• A. 3/8
• B. 3/5
• C. 15/40
• D. 3/30

Correct answer: A

Rationale: To multiply fractions, multiply the numerators together and the denominators together. For (3/5) * (5/8), you get (3*5) / (5*8) = 15 / 40, which simplifies to 3/8. Therefore, the correct answer is A. Choice B (3/5) is incorrect as it is one of the original fractions being multiplied. Choice C (15/40) is the result of the multiplication but not simplified to its lowest terms. Choice D (3/30) is incorrect as the numerator is not the result of multiplying 3 and 5 together.

2. One roommate is saving to buy a house, so each month, he puts money aside in a special house savings account. The ratio of his monthly house savings to his rent is 1:3. If he pays $270 per month in rent, how much money does he put into his house savings account each month?

• A. $90
• B. $270
• C. $730
• D. $810

Correct answer: A

Rationale: The ratio of his savings to his rent is 1:3, which means that for every $3 he pays in rent, he saves $1 for the purchase of a house. To calculate the amount saved, divide $270 by 3: $270 ÷ 3 = $90. Therefore, he puts $90 into his house savings account each month. Choice B, $270, is incorrect because that is the amount he pays in rent, not the amount saved. Choices C and D, $730 and $810, are incorrect as they do not align with the 1:3 ratio described in the question.

3. Robert is planning to drive 1,800 miles on a cross-country trip. If his car gets 30 miles per gallon and his tank holds 12 gallons of gas, how many tanks of gas will he need to complete the trip?

• A. 3 tanks
• B. 5 tanks
• C. 30 tanks
• D. 60 tanks

Correct answer: B

Rationale: To find out how many tanks of gas Robert needs for the 1,800-mile trip, first, we calculate the distance his car can travel on a full tank: 30 miles per gallon × 12 gallons = 360 miles per tank. Next, divide the total trip distance by the distance per tank: 1,800 miles ÷ 360 miles per tank = 5 tanks. Therefore, Robert will need 5 tanks of gas to complete the cross-country trip. Choices A, C, and D are incorrect as they do not accurately calculate the number of tanks needed based on the given information.

4. Solve for x: 2x + 4 = x - 6

• A. x = -12
• B. x = 10
• C. x = -16
• D. x = -10

Correct answer: D

Rationale: To solve the equation 2x + 4 = x - 6, first, subtract x from both sides to get x + 4 = -6. Then, subtract 4 from both sides to isolate x, resulting in x = -10. Therefore, the correct answer is x = -10. Choice A is incorrect as it does not follow the correct steps of solving the equation. Choice B is incorrect as it is the result of combining x terms incorrectly. Choice C is incorrect as it is not the correct result of solving the equation step by step.

5. What is the area of a triangle with a base of 10 cm and a height of 7 cm?

• A. 70 cm²
• B. 35 cm²
• C. 140 cm²
• D. 100 cm²

Correct answer: B

Rationale: To find the area of a triangle, you use the formula A = 1/2 × base × height. Substituting the given values: A = 1/2 × 10 cm × 7 cm = 35 cm². Therefore, the correct answer is B. Choice A (70 cm²) is incorrect as it seems to be the product of the base and height rather than the area formula. Choice C (140 cm²) is incorrect as it appears to be twice the correct answer, possibly a result of a miscalculation. Choice D (100 cm²) is incorrect as it does not reflect the correct calculation based on the given base and height values.

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