Nokea
In a study on anorexia, 100 patients participated. Among them, 70% were women, and 10% of the men were overweight as children. How many male patients in the study were not overweight as children?
- A. 3
- B. 10
- C. 27
- D. 30
Correct Answer: C
Rationale: Out of the 100 patients, 30% were men. Since 10% of the men were overweight as children, 90% of the male patients were not overweight. Therefore, the number of male patients not overweight as children can be calculated as 30 (total male patients) x 0.90 = 27. Choices A, B, and D are incorrect because they do not accurately calculate the number of male patients who were not overweight as children based on the given information.
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Simplify the following expression: 7 + 16 - (5 + 6 3) - 10 2
- A. -42
- B. -20
- C. 23
- D. 20
Correct Answer: B
Rationale: Start by solving the multiplication and parentheses. The answer is -20.
After a hurricane struck a Pacific island, donations began flooding into a disaster relief organization. The organization provided four options for donors. What percentage of the funds was donated to support construction costs?
- A. 49%
- B. 23%
- C. 18%
- D. 10%
Correct Answer: B
Rationale: The correct answer is B (23%). The information was obtained from the pie chart which indicated that 23% of the funds were allocated to support construction costs. Choice A (49%), Choice C (18%), and Choice D (10%) are incorrect as they do not reflect the accurate percentage designated for construction costs according to the data provided.
Simplify the following expression: 5 x 3 · 9 x 4
- A. 5/12
- B. 8/13
- C. 20/27
- D. 47/36
Correct Answer: A
Rationale: To simplify the expression 5 x 3 · 9 x 4, first perform the multiplications and divisions from left to right: 5 x 3 = 15 and 9 x 4 = 36. So, the expression becomes 15 · 36. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. Hence, 15 · 36 = 15/36. To simplify the fraction further, find the greatest common divisor, which is 3. Divide both the numerator and denominator by 3 to get the final result: 15/36 = 5/12. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not represent the correct simplification of the given expression.
A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can?
- A. 17.2 in³
- B. 19.4 in³
- C. 21.2 in³
- D. 23.4 in³
Correct Answer: C
Rationale: The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height. Substituting the given values (r = 1.5 inches, h = 3 inches) into the formula yields V ≈ 21.2 in³. Therefore, the correct answer is C. Choice A, 17.2 in³, is incorrect as it does not correspond to the correct calculation. Choice B, 19.4 in³, is also incorrect and does not match the calculated volume. Choice D, 23.4 in³, is not the correct volume obtained when using the provided dimensions in the formula for the volume of a cylinder.
What is the range in the number of houses sold per year?
- A. 20
- B. 25
- C. 29
- D. 35
Correct Answer: C
Rationale: The range in the number of houses sold per year is calculated by subtracting the minimum number of houses sold from the maximum number of houses sold. In this case, the range is 42 (maximum) - 11 (minimum) = 31, not 29 as stated in the original rationale. Therefore, choice C (29) is incorrect. Choices A (20), B (25), and D (35) are also incorrect as they do not reflect the correct range of houses sold per year, which is 31.