Nursing Elites

1. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?

• A. -3
• B. 0
• C. 33
• D. 15

Correct answer: C

Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.

2. Multiply: 22 × 75 = and express the answer in decimal form.

• A. 0.00165
• B. 0.0165
• C. 0.165
• D. 16.5

Correct answer: D

Rationale: The correct answer is D: 16.5. To find the product of 22 and 75, you multiply the two numbers together. Therefore, 22 × 75 = 1650, which is correctly represented as 16.5 in decimal form. Choices A, B, and C are incorrect as they do not reflect the correct decimal form of the product of 22 and 75. Choice A, 0.00165, is incorrect as it is a very small value that does not match the result of multiplying 22 and 75. Choice B, 0.0165, is also incorrect as it is one tenth of the correct answer. Choice C, 0.165, is incorrect as it is one hundredth of the correct answer. Therefore, the only correct representation in decimal form for the product of 22 and 75 is 16.5.

3. What is the result of adding 12 + 2 + 312?

• A. 936
• B. 374.4
• C. 326
• D. 318.24

Correct answer: C

Rationale: To find the sum of 12 + 2 + 312, you simply need to add these numbers together. 12 + 2 = 14, and when you add 312 to 14, you get the correct total of 326. Therefore, the correct answer is C. Choice A (936), choice B (374.4), and choice D (318.24) are incorrect as they do not represent the correct sum of the given numbers.

4. What is 33% of 300?

• A. 3
• B. 9
• C. 33
• D. 99

Correct answer: D

Rationale: To find 33% of 300, you multiply 300 by 0.33 (which is the decimal equivalent of 33%). 300 * 0.33 = 99. Therefore, 33% of 300 equals 99. Choice A (3) is incorrect as it is too small for 33% of 300. Choice B (9) is incorrect as it does not reflect the correct calculation for finding 33% of 300. Choice C (33) is incorrect as it represents the percentage value itself, not the result of calculating 33% of 300.

5. What is (12/15) ÷ (3/5) = ?

• A. 1 1/3
• B. 1 2/3
• C. 2 1/3
• D. 1

Correct answer: A

Rationale: To divide fractions, you multiply by the reciprocal of the divisor. (12/15) ÷ (3/5) is the same as (12/15) * (5/3). Cancel out common factors to simplify: 12 ÷ 3 = 4, 15 ÷ 5 = 3. So, the expression simplifies to 4/3, which is 1 1/3 in mixed number form. Choice A, 1 1/3, is the correct answer. Choices B, C, and D are incorrect because they do not represent the simplified form of the division of the given fractions.

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