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What is 15% of 95?
- A. 14.25
- B. 18.5
- C. 24.25
- D. 28.5
Correct Answer: A
Rationale: To find 15% of 95, you multiply 95 by 0.15 (which represents 15% as a decimal). Therefore, 95 * 0.15 = 14.25. The correct answer is A. Choice B, 18.5, is incorrect as it does not represent 15% of 95. Choices C and D, 24.25 and 28.5, are also incorrect calculations for 15% of 95.
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Which numeric system was a base 20 system?
- A. Mayan
- B. Babylonian
- C. Roman
- D. Arabic
Correct Answer: A
Rationale: The Mayan numeric system was a base 20 system, known as vigesimal, as it used base 20 numerals. This system was unique and employed a combination of symbols and positional notation to represent numbers. The Babylonian system was a base 60 system, Roman numerals were based on combinations of letters, and Arabic numerals are in base 10, making choices B, C, and D incorrect.
Multiply: 2 5 =
- A. 0.013
- B. 0.13
- C. 1.3
- D. 10
Correct Answer: D
Rationale: When you multiply 2 by 5, the result is 10, not 13. Therefore, the correct answer is 10, which is option D. Choices A, B, and C are incorrect because they do not represent the correct product of multiplying 2 by 5.
Express 4/5 as a percent.
- A. 20%
- B. 40%
- C. 50%
- D. 80%
Correct Answer: D
Rationale: To convert a fraction to a percentage, you multiply the fraction by 100. To express 4/5 as a percent, you perform the calculation 4/5 * 100 = 80%. Therefore, the correct answer is D, 80%. Choices A, B, and C are incorrect as they do not represent the correct conversion of 4/5 to a percentage.
Casey spent $80 on items where each item costs $4. How many items did Casey buy?
- A. 12
- B. 18
- C. 20
- D. 24
Correct Answer: C
Rationale: To determine the number of items Casey bought for $80, we divide the total amount spent ($80) by the cost per item ($4). The calculation gives us 20, indicating that Casey bought 20 items in total to reach the $80 expenditure ($80 · $4 = 20). Therefore, the correct answer is C, 20. Choices A (12), B (18), and D (24) are incorrect because they do not align with the correct division calculation based on the information provided.
Express the ratio of 6:7 as a percentage.
- A. 67%
- B. 76%
- C. 86%
- D. 93%
Correct Answer: A
Rationale: To express the ratio 6:7 as a percentage, we first need to find the total parts in the ratio, which is 6 + 7 = 13. To convert this ratio to a percentage, divide the part you want to find the percentage for by the total parts, then multiply by 100. In this case, to find the percentage for 6 in the ratio 6:7, the calculation would be (6/13) * 100 = 46.15%. Therefore, the correct answer is A, 67%. Choices B, C, and D are incorrect percentages as they do not result from the correct calculation for the given ratio.