Nursing Elites

1. If x = -2 and m = -3, evaluate: xm - 2m

• A. 12
• B. 6
• C. 8
• D. 10

Correct answer: A

Rationale: Substitute x = -2 and m = -3 into the expression: (-2) * (-3) - 2 * (-3) = 6 + 6 = 12. Therefore, the correct answer is 12. The mistake in the other choices lies in the calculation. Choice B, 6, is the result of adding the two terms instead of subtracting the second term from the first. Choice C, 8, and Choice D, 10, are also incorrect as they do not follow the correct calculation process.

2. The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?

• A. 36 cm
• B. 46 cm
• C. 51 cm
• D. 56 cm

Correct answer: A

Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.

3. Multiply 4/9 x 1 & 4/5 x 2/5.

• A. 15
• B. 7/16
• C. 8/25
• D. 19

Correct answer: C

Rationale: To multiply fractions, you multiply the numerators together and the denominators together. Calculating 4/9 x 1 & 4/5 x 2/5 gives you (4 x 1) / (9 x 1) & (4 x 2) / (5 x 5) = 4/9 & 8/25. Therefore, the correct answer is 8/25. Choices A, B, and D are incorrect because they do not result from the correct multiplication of the fractions provided.

4. Lulu is 5 years younger than her sister, who is 7 years older than their 15-year-old cousin. How old is Lulu?

• A. 27
• B. 22
• C. 19
• D. 17

Correct answer: C

Rationale: Let Lulu's sister's age be x. According to the given information, x = 15 (cousin's age) + 7 = 22. So, Lulu's sister is 22 years old. Since Lulu is 5 years younger than her sister, Lulu's age is 22 - 5 = 17. Therefore, Lulu is 17 years old. Choices A, B, and D are incorrect because they do not correspond to the calculations based on the information provided in the question.

5. A triangular scarf has sides measuring 10cm, 12cm, and 15cm. What is its perimeter?

• A. 27cm
• B. 32cm
• C. 37cm
• D. 45cm

Correct answer: B

Rationale: Rationale: The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the sides of the triangular scarf measure 10cm, 12cm, and 15cm. Therefore, the perimeter is calculated as: Perimeter = 10cm + 12cm + 15cm Perimeter = 37cm Therefore, the correct answer is B) 32cm.

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