A die is rolled. What is the probability of getting a 5?
- A. 50%
- B. 20%
- C. 16.60%
- D. 83.30%
Correct Answer: C
Rationale: The correct answer is C (16.60%). When rolling a standard 6-sided die, the probability of getting a 5 is 1/6 or approximately 16.6%. Choice A (50%) is incorrect as it represents the probability of getting a specific number on a coin flip, not a die roll. Choice B (20%) is incorrect as it does not reflect the probability of rolling a 5 on a standard die. Choice D (83.30%) is incorrect as it is the complement of the probability of rolling a 5, which is not asked in the question.
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What is the probability of rolling a 2 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct Answer: A
Rationale: The correct answer is A: 1/6. A six-sided die has one face with a '2' out of six possible outcomes (numbers 1 to 6). Therefore, the probability of rolling a 2 is 1/6. Choices B, C, and D are incorrect because they do not reflect the specific probability of rolling a 2 on a six-sided die.
How many ounces are in 8 1/4 pints?
- A. 128 oz
- B. 132 oz
- C. 136 oz
- D. 140 oz
Correct Answer: B
Rationale: To convert pints to ounces, multiply by 16 because 1 pint equals 16 ounces. Therefore, 8 1/4 pints is equal to 8.25 x 16 = 132 ounces. Choices A, C, and D are incorrect as they do not reflect the correct conversion from pints to ounces.
Solve for x: x/5 = 3/10.
- A. x = 0.6
- B. x = 0.6
- C. x = 0.9
- D. x = 1.5
Correct Answer: D
Rationale: To solve for x when x/5 = 3/10, you need to cross-multiply. This gives you 10x = 5 3. Simplifying further, you get x = 15/10, which reduces to x = 1.5. Therefore, the correct answer is x = 1.5. Choices A, B, and C are incorrect because they do not match the correct calculation for x.
What is the result of dividing 3.44 by 0.6?
- A. 11.41
- B. 5.73
- C. 2.33
- D. 0.57
Correct Answer: B
Rationale: The correct answer is B: 5.73. When dividing 3.44 by 0.6, the calculation is 3.44 · 0.6 = 5.73. Choice A (11.41) is incorrect because it is the result of multiplying, not dividing. Choice C (2.33) and Choice D (0.57) are also incorrect results obtained by incorrect calculations.
How many grams are in 8 kilograms?
- A. 80000 grams
- B. 800 grams
- C. 80000 grams
- D. 8000 grams
Correct Answer: D
Rationale: To convert kilograms to grams, you multiply by 1,000 since there are 1,000 grams in a kilogram. Therefore, 8 kilograms = 8 x 1,000 = 8,000 grams. The correct answer is 8,000 grams, which is option D. Choices A and C are incorrect as they incorrectly multiply by 10,000 instead of 1,000. Choice B is incorrect as it divides 8 by 10 instead of multiplying by 1,000.