Nokea
If a die is rolled, what is the probability of rolling an odd number?
- A. 50%
- B. 75%
- C. 16.70%
- D. 33%
Correct Answer: A
Rationale: When rolling a fair six-sided die, there are 3 odd numbers out of a total of 6 possible outcomes (1, 3, 5). The probability of rolling an odd number is calculated by taking the number of favorable outcomes (3) divided by the total number of outcomes (6), which simplifies to 1 out of 2 or 50%. Therefore, the correct answer is A.
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Find x: 40:5 = 60:x
- A. 7.5
- B. 1.5
- C. 12
- D. 15
Correct Answer: A
Rationale: To find the value of x in the proportion 40:5 = 60:x, you can cross multiply. This gives you 40 * x = 5 * 60, which simplifies to 40x = 300. To solve for x, divide both sides by 40, resulting in x = 300 / 40 = 7.5. Therefore, the correct answer is A, 7.5. The other choices can be eliminated by following the correct mathematical procedure. Choice B, 1.5, is incorrect as it does not satisfy the proportion equation. Choices C and D, 12 and 15, respectively, are also incorrect as they are not the solutions obtained by solving the proportion equation.
If Mr. Parker owns 150 shares of stock in Stark Industries and receives $180.00 per year in dividends, how much does Mr. Rogers receive for an annual dividend if he owns 400 shares of the same company?
- A. 480
- B. 500
- C. 450
- D. 72000
Correct Answer: A
Rationale: To determine how much Mr. Rogers receives annually in dividends for his 400 shares, you can set up a proportion based on the number of shares. The ratio of dividends to shares for Mr. Parker is $180/150 = $1.20 per share. By applying this ratio to Mr. Rogers with 400 shares, the calculation would be $1.20 x 400 = $480. Therefore, the correct answer is A, $480.
How many pints are in 80 ounces?
- A. 1,280 pints
- B. 16 pints
- C. 15 pints
- D. 5 pints
Correct Answer: D
Rationale: To determine how many pints are in 80 ounces, we use the conversion that 1 pint is equal to 16 ounces. Therefore, 80 ounces divided by 16 ounces per pint equals 5 pints (80/16 = 5). Choice D, 5 pints, is the correct answer. Choice A is incorrect as it miscalculates by multiplying 80 by 16 instead of dividing. Choices B and C are incorrect as they do not use the correct conversion factor of 16 ounces per pint. Thus, the correct answer is D, 5 pints, as it accurately applies the conversion factor to solve the problem.
Ratio and proportion: 0.8:10 :: x:100
- A. x = 0.8
- B. x = 80
- C. x = 800
- D. x = 8
Correct Answer: D
Rationale: To solve this proportion problem, start by setting up the given ratio 0.8:10 as a fraction, which is 0.8/10. Then, set this fraction equal to the unknown ratio x:100, represented as x/100. Cross multiplying gives us 0.8 * 100 = 10x. Simplifying the equation, we get 80 = 10x. Solving for x, x = 80/10 = 8. Therefore, the correct answer is D, as x equals 8, not 0.8, 80, or 800.
Round to the nearest whole number. Change the fraction to a percent: 9/13.
- A. 33%
- B. 69%
- C. 72%
- D. 78%
Correct Answer: B
Rationale: To convert a fraction to a percentage, you divide the numerator by the denominator, then multiply by 100. For the fraction 9/13, (9/13) * 100 = 69%. When rounded to the nearest whole number, 69% remains as 69%. Therefore, the correct answer is 69% (Choice B).