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7 is divisible by which of the following numbers?
- A. 2 only
- B. 3 only
- C. 1 and 7 only
- D. 2, 3, and 7
Correct Answer: D
Rationale: Rationale:
1. 7 is divisible by 1 because every number is divisible by 1.
2. 7 is divisible by 7 because any number is divisible by itself.
3. 7 is not divisible by 2 because 7 is an odd number and not divisible by 2.
4. 7 is not divisible by 3 because the sum of the digits of 7 (7) is not divisible by 3.
Therefore, 7 is divisible by 1, 7, and itself (7), making the correct answer D) 2, 3, and 7.
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If 30% of a given number is 18, what is the full number?
- A. 60
- B. 30
- C. 40
- D. 45
Correct Answer: A
Rationale: If 30% of a number is 18, you can find the full number by dividing 18 by 0.30 (the decimal equivalent of 30%). This calculation results in 60. Therefore, the full number is 60. Choice B (30) is the result if 30% of the number itself was calculated, not the full number. Choices C (40) and D (45) are incorrect and do not align with the given information.
Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left?
- A. 2 peach pies
- B. 3 peach pies
- C. 1 peach pie
- D. 2 peach pies
Correct Answer: A
Rationale: To find how many pies Erin has left, subtract 3.75 from 6.25: 6.25 - 3.75 = 2.5 peach pies. Erin has 2.5 peach pies left, which rounds down to 2 pies, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result.
How many ounces are in 8 & 1/4 pints?
- A. 136 oz
- B. 128 oz
- C. 132 oz
- D. 130 oz
Correct Answer: C
Rationale: To convert 8 1/4 pints to ounces, first convert the mixed number to an improper fraction: 8 1/4 = 33/4. There are 16 ounces in 1 pint. Now, multiply 33/4 by 16 ounces per pint: 33/4 x 16 = 132 ounces. Therefore, the correct answer is 132 oz. Choice A (136 oz) is incorrect because it does not result from the correct conversion. Choice B (128 oz) is incorrect as it is a miscalculation. Choice D (130 oz) is incorrect as well, not derived from the accurate conversion process.
How many grams of carbohydrates are in a product if it contains 4 servings, and each serving has 8 grams of carbohydrates?
- A. 32 grams
- B. 28 grams
- C. 24 grams
- D. 20 grams
Correct Answer: A
Rationale: To calculate the total grams of carbohydrates in the product, you multiply the number of servings by the grams of carbohydrates per serving. Given that each serving has 8 grams of carbohydrates and there are 4 servings, the total would be 4 servings * 8 grams = 32 grams. Therefore, the correct answer is A: 32 grams. Choices B, C, and D are incorrect as they do not correctly calculate the total grams of carbohydrates based on the information provided.
A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 2 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?
- A. 2
- B. 1
- C. 3 liters
- D. 5 liters
Correct Answer: A
Rationale: To convert 2 quarts to liters, we can use the conversion factor that 1 quart is approximately equal to 0.95 liters. Therefore, 2 quarts would be approximately 1.9 liters, which is closest to 2 liters. As the measuring device is marked in liters, the teacher's aide should use 2 liters of water to dilute the contents of the package. Choice A is correct. Choice B is incorrect because it's the same as the original amount in quarts. Choice C is incorrect as it suggests using more water than necessary. Choice D is incorrect as it suggests using significantly more water than necessary.