Nursing Elites

1. Farmer Juan finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?

• A. 48
• B. 18
• C. 8
• D. 6

Correct answer: C

Rationale: If 2 chickens produce 6 eggs in 24 hours, to produce 24 eggs in the same time frame, you would need 8 chickens. Therefore, Choice C is correct. Choice A (48) is incorrect because it miscalculates the number of chickens required. Choice B (18) is incorrect as it does not consider the proportional relationship between chickens and eggs. Choice D (6) is incorrect as it doesn't account for the increased number of eggs.

2. 81:X::9:27. Find X.

• A. 3
• B. 27
• C. 21
• D. 9

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

3. Bai Lin estimates that of her monthly paycheck, she puts 10% in savings and spends 30% on living expenses. If she has $1,545 left after that, how much is her monthly paycheck?

• A. $2,175
• B. $2,250
• C. $2,575
• D. $2,650

Correct answer: C

Rationale: Let X be Bai Lin's monthly paycheck. From the given information, she puts 10% of X in savings and spends 30% on living expenses. This means she retains 60% (100% - 10% - 30%) of her paycheck, which equals $1,545. Therefore, 60% of X is $1,545. To find X, we divide $1,545 by 60% (or 0.60), which gives us X = $2,575. Hence, Bai Lin's monthly paycheck is $2,575. Therefore, the correct answer is $2,575. Choices A, B, and D are incorrect because they do not match the calculated monthly paycheck based on the given percentages and remaining amount.

4. How many milliliters are in 5 liters?

• A. 5000 milliliters
• B. 50 milliliters
• C. 500 milliliters
• D. 0.5 milliliters

Correct answer: A

Rationale: To convert liters to milliliters, remember there are 1,000 milliliters in a liter. So, to find how many milliliters are in 5 liters, you multiply 5 (liters) by 1,000 (milliliters per liter), which equals 5,000 milliliters. Choice A is correct as it converts 5 liters to milliliters accurately. Choice B, 50 milliliters, is incorrect as it mistakenly converts liters to milliliters by a factor of 100 instead of 1,000. Choice C, 500 milliliters, is incorrect as it also wrongly converts liters to milliliters by a factor of 10 instead of 1,000. Choice D, 0.5 milliliters, is incorrect as it inaccurately converts 5 liters to 0.5 milliliters, which is not correct.

5. What would be the total cost to buy 5 bars of soap if one bar of soap costs $0.96?

• A. $3.30
• B. $3.80
• C. $4.30
• D. $4.80

Correct answer: D

Rationale: To find the total cost of purchasing 5 bars of soap, multiply the cost of one bar of soap by the number of bars. If one bar costs $0.96, then 5 bars would cost $0.96 x 5 = $4.80. Therefore, the correct answer is $4.80. Option A, $3.30, is incorrect as it does not result from the correct multiplication. Option B, $3.80, is also incorrect as it does not reflect the total cost of 5 bars. Option C, $4.30, is incorrect as it does not represent the accurate total cost of purchasing 5 bars of soap.

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