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Convert the percent to a decimal: 17.6% =
- A. 17.6
- B. 1.76
- C. 0.176
- D. 0.0176
Correct Answer: C
Rationale: To convert a percentage to a decimal, divide the percentage value by 100. In this case, 17.6% divided by 100 is 0.176. Therefore, the correct answer is 0.176, choice C. Remember, moving the decimal point two places to the left when converting a percentage to a decimal is a common method to follow. In this case, 17.6% as a decimal becomes 0.176, where 17.6% is equal to 17.6/100 = 0.176.
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What is the numerical value of the Roman numeral XVII?
- A. 22
- B. 17
- C. 48
- D. 57
Correct Answer: B
Rationale: The Roman numeral XVII represents the number 17. In Roman numerals, 'X' stands for 10, 'V' stands for 5, and 'I' stands for 1. When 'V' is placed before 'X' (V - X), it subtracts 5 from 10, resulting in 10 - 5 = 5. Adding this to the value of 'X,' which is 10, gives a total of 10 + 5 = 15. Finally, adding 'II,' which is equivalent to 2, results in a total of 15 + 2 = 17.
1.2:x::14:42 =
- A. 0.6
- B. 3.6
- C. 1.2
- D. 2.4
Correct Answer: B
Rationale: To solve this proportion, we use the property that the product of the means is equal to the product of the extremes. In this case, we have 1.2 * 42 = 14 * x. Simplifying, we get 50.4 = 14x. To find the value of x, we divide both sides by 14, giving x = 50.4 / 14 = 3.6. Therefore, the correct answer is 3.6, which corresponds to option B. This means that the relationship between 1.2 and x is the same as the relationship between 14 and 42, following a proportional logic where the ratios are equivalent.
What temperature in Fahrenheit is 50 degrees Celsius? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 150°F
- B. 122°F
- C. 120°F
- D. 145°F
Correct Answer: B
Rationale: To convert Celsius to Fahrenheit, use the formula: F = (C — 9/5) + 32. Substituting C = 50 into the formula, we get F = (50 — 9/5) + 32 = 90 + 32 = 122°F. Therefore, 50 degrees Celsius is equivalent to 122 degrees Fahrenheit. The correct answer is B, 122°F.
Ratio and Proportion: 0.5:20 :: X:200
- A. X = 50
- B. X = 4
- C. X = 5
- D. X = 25
Correct Answer: A
Rationale: To solve this proportion problem, you need to set up the ratio 0.5/20 equal to X/200. Cross-multiply to solve for X, which gives you 0.5 — 200 = 20X. Simplifying this, you get 100 = 20X, and then by dividing both sides by 20, you find that X = 5. Therefore, the correct answer is A, X = 50.
One side of a 6-sided die is numbered 4, 9, 12, 16, 20, and 24. What is the probability of rolling an even number?
- A. 5/6
- B. 3/4
- C. 2/3
- D. 1/3
Correct Answer: A
Rationale: To find the probability of rolling an even number, we identify the even numbers on the die, which are 4, 12, 16, 20, and 24 (5 even numbers). Since there are 6 total outcomes on a 6-sided die, the probability of rolling an even number is the number of favorable outcomes (5) divided by the total number of outcomes (6), resulting in a probability of 5/6.