Nokea
Compare the relationships of these numbers: 0.045 is ______ to 0.054.
- A. less than
- B. greater than
- C. equal to
- D. not comparable
Correct Answer: A
Rationale: When comparing decimal numbers like 0.045 and 0.054, we look at their values. In this case, 0.045 is smaller than 0.054 because in decimal numbers, a larger number signifies a greater value. Therefore, the correct relationship between 0.045 and 0.054 is 'less than'. In this context, 'less than' accurately describes the relationship between the two numbers, with 0.045 being smaller than 0.054.
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Rounded to the nearest whole number, what is 17 out of 68 as a percentage?
- A. 17%
- B. 25%
- C. 32%
- D. 68%
Correct Answer: B
Rationale: To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. In this case, (17 · 68) — 100 = 25%. Therefore, when rounded to the nearest whole number, 17 out of 68 as a percentage is 25%.
In the ratio 0.6 : X :: 7 : 42, what is X?
- A. 3
- B. 3.6
- C. 4
- D. 4.2
Correct Answer: B
Rationale: To find the value of X in the given ratio, set up the proportion: (0.6/X) = (7/42). Simplifying this, we get (0.6/X) = (1/6). Cross multiplying gives 0.6 * 6 = X, which results in X = 3.6. Therefore, the correct answer is 3.6, representing the value of X in the given ratio.
The metric system of measurement was developed in France during Napoleon's reign. It is based on what multiplication factor?
- A. The length of Napoleon's forearm
- B. 2
- C. 10
- D. Atomic weight of helium
Correct Answer: C
Rationale: The metric system of measurement is based on the factor of 10. This factor allows for easy conversion between units as they are all related by powers of 10. For example, moving from centimeters to meters involves multiplying or dividing by 10, making the system simple and efficient to use. The length of Napoleon's forearm, choice A, is not the basis for the metric system. Choice B and choice D are also incorrect as they do not align with the fundamental principle of the metric system being based on units that are interrelated by powers of 10.
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.
What is the result of adding 2/3 and 4/9?
- A. 1 (1/9)
- B. 1 (1/3)
- C. 2/9
- D. 10/9
Correct Answer: A
Rationale: To add 2/3 and 4/9, you need to find a common denominator. In this case, the common denominator is 9. Convert 2/3 to 6/9. Now, the addition becomes 6/9 + 4/9 = 10/9. Simplifying 10/9 gives you 1 (1/9). Therefore, the correct answer is 1 (1/9). When adding fractions, having a common denominator is essential for accurate calculation.