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What factor is used to convert pounds to kilograms?
- A. 0.22
- B. 2.2
- C. 22
- D. 220
Correct Answer: B
Rationale: To convert pounds to kilograms, the correct factor is 2.2. This conversion factor is used because 1 pound is approximately equal to 0.454 kilograms. Therefore, to convert from pounds to kilograms, you multiply the weight in pounds by 0.454 to get the weight in kilograms. In this case, the factor is the reciprocal of 0.454, which simplifies to approximately 2.2.
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Which number is the highest?
- A. 0.077
- B. 0.777
- C. 0.08
- D. 0.87
Correct Answer: D
Rationale: To determine the highest number among the given options, we compare the digits place by place starting from the left. Among the provided numbers, 0.87 is the highest as it has the largest digit in the tenths place. In comparison, 0.777 has a larger hundredths place than 0.08, and 0.077 is the smallest number among the options. Therefore, 0.87 is the correct answer as it is the greatest value presented.
Ratio and Proportion: 4:10 :: 5:X
- A. X = 10.5
- B. X = 20
- C. X = 12.5
- D. X = 25
Correct Answer: C
Rationale: To solve for X in the given ratio and proportion, set up the proportion: (4/10) = (5/X). Cross-multiply to get 4X = 50, leading to X = 12.5. So, the correct answer is X = 12.5, making choice C the correct option.
How many ounces are in 8 1/4 pints?
- A. 132 oz
- B. 140 oz
- C. 148 oz
- D. 156 oz
Correct Answer: A
Rationale: To convert pints to ounces, we use the conversion factor that 1 pint equals 16 ounces. To find the number of ounces in 8 1/4 pints, we multiply 8.25 pints by 16 ounces/pint: 8.25 * 16 = 132 ounces. Therefore, there are 132 ounces in 8 1/4 pints.
Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
- A. John
- B. Sally
- C. both
- D. equal
Correct Answer: A
Rationale: To compare the amount each person ate, we need to convert the fractions to percentages. Sally ate 3/5, which is equivalent to 60%. John ate 75%. By comparing 60% to 75%, we find that John ate more. Therefore, the correct answer is John, as he consumed a higher percentage of his lunch than Sally did.
Change 0.004 to a ratio.
- A. 3:5
- B. 4/1000
- C. 1:250
- D. 2/500
Correct Answer: C
Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.