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4 7/8 divided by 1 1/6 equals what?
- A. 4 & 6/8
- B. 4 & 7/8
- C. 5 & 8/14
- D. 4 & 5/28
Correct Answer: D
Rationale: To divide 4,7/8 by 1,1/6:
Convert to improper fractions:
4,7/8 = 39/8
1,1/6 = 7/6
Divide by multiplying by the reciprocal:
39/8 6/7 = 234/56
Simplify: 234/56 = 117/28 or 4,5/28
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Which number is the highest among 0.077, 0.777, 0.08, and 0.87?
- A. 0.077
- B. 0.777
- C. 0.08
- D. 0.87
Correct Answer: D
Rationale: To determine the highest number among 0.077, 0.777, 0.08, and 0.87, we compare the numbers. 0.87 is greater than 0.777, 0.08, and 0.077, making it the highest number. Choice A (0.077), Choice B (0.777), and Choice C (0.08) are lower numbers compared to 0.87, so they are incorrect.
Solve for x: x/250 = 3/500
- A. 1.5
- B. 25.5
- C. 1500
- D. 2.5
Correct Answer: A
Rationale: To solve for x in the equation x/250 = 3/500, you can cross-multiply: x*500 = 3*250. Therefore, 500x = 750. Now, divide both sides by 500: x = 750/500. Simplifying, x = 1.5. Therefore, the correct answer is A, 1.5. Choice B, 25.5, is incorrect as it does not match the correct calculation. Choice C, 1500, is incorrect as it is not the result of solving the equation given. Choice D, 2.5, is incorrect as well, as it does not align with the correct value of x obtained from the equation.
If Alice consumes twice as many calories as Claire, and Claire consumes 2,500 calories a day, how many calories does Alice consume per week?
- A. 17,500
- B. 15,000
- C. 22,500
- D. 35,000
Correct Answer: D
Rationale: If Claire consumes 2,500 calories a day, Alice, consuming twice as many calories as Claire, would consume 2 * 2,500 = 5,000 calories per day. To find out how many calories Alice consumes per week, we multiply her daily consumption by 7 (days in a week): 5,000 * 7 = 35,000 calories. Therefore, Alice consumes 35,000 calories per week. Choices A, B, and C are incorrect because they do not account for Alice consuming twice as many calories as Claire.
Farmer Juan finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?
- A. 48
- B. 18
- C. 8
- D. 6
Correct Answer: C
Rationale: If 2 chickens produce 6 eggs in 24 hours, to produce 24 eggs in the same time frame, you would need 8 chickens. Therefore, Choice C is correct. Choice A (48) is incorrect because it miscalculates the number of chickens required. Choice B (18) is incorrect as it does not consider the proportional relationship between chickens and eggs. Choice D (6) is incorrect as it doesn't account for the increased number of eggs.
What is the perimeter of a square with a side length of 5 meters?
- A. 15 meters
- B. 20 meters
- C. 25 meters
- D. 30 meters
Correct Answer: B
Rationale: The formula to calculate the perimeter of a square is P = 4s, where P is the perimeter and s is the length of a side. Given that the side length is 5 meters, the perimeter is 4 * 5 = 20 meters. Therefore, the correct answer is B. Choices A (15 meters), C (25 meters), and D (30 meters) are incorrect as they do not correctly apply the formula to calculate the perimeter of a square.