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A farmer wants to plant trees around the outside boundaries of his rectangular field with dimensions of 650 meters 780 meters. Each tree requires 5 meters of free space all around it from the stem. How many trees can he plant?
- A. 572
- B. 568
- C. 286
- D. 282
Correct Answer: C
Rationale: To determine the number of trees, reduce the field dimensions by 10 meters (5 meters of space on each side). The effective area is 640 meters 770 meters. Each tree occupies 10 meters 10 meters. Dividing the effective area by the space for each tree gives: (640 770) · (10 10) = 286 trees. Choice A, B, and D are incorrect because they do not consider the reduction in field dimensions and the space required for each tree.
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In a class of 28 people, there are 12 men and 16 women. What is the ratio of men to women?
- A. 3:4
- B. 4:7
- C. 12:16
- D. 1:2
Correct Answer: A
Rationale: The correct ratio of men to women is 3:4. To find the ratio, divide the number of men by the number of women: 12 men / 16 women = 3/4, which simplifies to 3:4. Therefore, in a class of 28 people with 12 men and 16 women, the ratio of men to women is 3:4. Choice B (4:7) is incorrect because it does not accurately reflect the given numbers of men and women in the class. Choice C (12:16) is incorrect as it represents the actual count of men and women, not the ratio. Choice D (1:2) is incorrect as it does not match the proportion of men to women in the class.
A honeycomb cell has six equal sides, each measuring 8mm. What is its perimeter?
- A. 32mm
- B. 40mm
- C. 48mm
- D. 56mm
Correct Answer: C
Rationale: To find the perimeter of a shape with equal sides, you multiply the length of one side by the number of sides. In this case, the honeycomb cell has 6 sides, each measuring 8mm. Therefore, the perimeter is calculated as perimeter = number of sides * side length = 6 * 8mm = 48mm. Choices A, B, and D are incorrect because they do not correctly calculate the total length around the honeycomb cell with six sides.
What is the result of multiplying 10 by 5?
- A. 65
- B. 50
- C. 45
- D. 55
Correct Answer: B
Rationale: The correct answer is B. To find the result of multiplying 10 by 5, you perform the calculation: 10 5 = 50. Choices A, C, and D are incorrect because they do not represent the accurate product of 10 multiplied by 5.
If a parent changes their baby 6 times a day, how many diapers will be needed in a year?
- A. 2190 diapers
- B. 2100 diapers
- C. 2160 diapers
- D. 2140 diapers
Correct Answer: A
Rationale: To calculate the number of diapers needed in a year with 6 diaper changes per day, multiply the daily diaper changes (6) by the days in a year (365): 6 x 365 = 2190 diapers required. This calculation ensures an ample supply of diapers for maintaining the infant's hygiene and comfort. The other choices are incorrect because they do not accurately account for the number of diaper changes per day multiplied by the days in a year. Choice B (2100 diapers) is too low, while choices C (2160 diapers) and D (2140 diapers) are too high based on the calculation. Understanding the frequency and quantity of diaper changes is crucial for supporting the infant's health and well-being. Therefore, the correct answer is 2190 diapers.
How many kilometers is equivalent to 200 meters?
- A. 50 kilometers
- B. 20 kilometers
- C. 12 kilometers
- D. 0.2 kilometers
Correct Answer: D
Rationale: To convert meters to kilometers, divide the number of meters by 1000, as 1 kilometer is equal to 1000 meters. Therefore, 200 meters is equivalent to 200 / 1000 = 0.2 kilometers. Choices A, B, and C are incorrect because they do not correctly convert meters to kilometers. A provides an answer that would be correct if converting from kilometers to meters. B and C are much larger distances than what 200 meters represent.