A farmer's production statistics find that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed to produce 24 eggs in 24 hours?

Correct Answer: D

Rationale: First, find how many eggs 1 chicken can produce in 24 hours. If 2 chickens produce 6 eggs: 6 eggs / 2 chickens = 3 eggs per chicken. To produce 24 eggs, we divide the required number of eggs by the production rate per chicken: 24 eggs / 3 eggs per chicken = 8 chickens. Therefore, the correct answer is D. 8 chickens. Choice A, 12 chickens, is incorrect because it does not consider the production rate per chicken. Choice B, 4 chickens, is incorrect as it does not account for the number of eggs needed. Choice C, 3 chickens, is incorrect because it miscalculates the production rate per chicken.

Correct Answer: C

Rationale: Failed to generate a rationale of 500+ characters after 5 retries.

Correct Answer: D

Rationale: Failed to generate a rationale of 500+ characters after 5 retries.

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.

Correct Answer: A

Rationale: First, calculate how many pages the man reads per day. Since he reads two chapters a day and each chapter has 6 pages: 2 chapters/day 6 pages/chapter = 12 pages/day Now, divide the total number of pages by the number of pages he reads per day: 798 pages · 12 pages/day = 66 1/2 days Thus, it will take him 66 & 1/2 days to finish the book. Therefore, the correct answer is A. 66 & 1/2. Choices B, C, and D are incorrect as they do not correspond to the correct calculation based on the given information.