Nokea
Ratio and Proportion: 125:5::75:X
- A. X=3
- B. X=75
- C. X=125
- D. X=5
Correct Answer: A
Rationale: To find the value of X in the given ratio 125:5::75:X, we need to maintain the same ratio relationship between the numbers. The ratio 125:5 simplifies to 25:1. Similarly, we can simplify 75:X as 15:X. Therefore, X must be such that 15 is to X as 25 is to 1, which means X=3 (15 divided by 5 equals 3). Choice A is correct as X=3 maintains the correct ratio relationship. Choices B, C, and D are incorrect as they do not follow the established ratio pattern.
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What is the sum of 9.98 and 0.065?
- A. 10.63
- B. 10.045
- C. 1.0063
- D. 998.065
Correct Answer: B
Rationale: To find the sum of 9.98 and 0.065, you need to add them together. When you add 9.98 and 0.065, the result is 10.045. Therefore, the correct answer is B, 10.045. Remember to pay attention to the decimal points when adding numbers to ensure accuracy. In this case, the sum involves adding a number with three decimal places to a number with two decimal places, so align the decimals and carry out the addition accurately to get the correct sum.
Calculate the product: (7.2)(0.34) =
- A. 14.12
- B. 0.234
- C. 7.64
- D. 2.448
Correct Answer: D
Rationale: When multiplying decimals, treat the numbers as whole numbers and then position the decimal point in the product so that it has the same total number of decimal places as the numbers being multiplied. In this case, multiplying 7.2 by 0.34 results in 2.448.
Change the decimal to a percent: 0.000026 =
- A. 0.00%
- B. 0.03%
- C. 2.60%
- D. 26%
Correct Answer: A
Rationale: To convert a decimal to a percentage, you multiply by 100. In this case, 0.000026 * 100 = 0.0026%. When rounded to the nearest hundredth, it becomes 0.00%. Therefore, the correct answer is A, 0.00%.
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.
What is the result of subtracting 12.02 from 9.99?
- A. 7.97
- B. 2.03
- C. -2.03
- D. 3.17
Correct Answer: C
Rationale: To find the result of subtracting 12.02 from 9.99, you need to perform the operation 9.99 - 12.02, which equals -2.03. The correct answer is C, -2.03, because when subtracting a larger number from a smaller one, the result will be negative. Therefore, the correct calculation is 9.99 - 12.02 = -2.03. It's important to remember that when subtracting numbers, the order matters, and subtracting the larger number from the smaller one will result in a negative difference.