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What is the result of adding 6, 12.55, and 5.022?
- A. 18.572
- B. 23.572
- C. 30.025
- D. 16.575
Correct Answer: B
Rationale: To find the sum of 6, 12.55, and 5.022, you need to add the numbers together: 6 + 12.55 + 5.022 = 23.572. Therefore, the correct answer is B, which equals 23.572. Adding the three numbers together gives you the total sum. In this case, the sum is 23.572, making it the correct answer choice.
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Ratio and Proportion 15:1000::x:100 = ?
- A. 1.5
- B. 2
- C. 1
- D. 1.2
Correct Answer: C
Rationale: To solve this proportion, set up the equation: 15/1000 = x/100. Cross multiply to get 15 * 100 = 1000 * x. Simplifying gives x = 1. Therefore, the correct answer is 1. The ratio 15:1000 is equivalent to the ratio 1:67. By setting up the proportion, we find that x = 1, making Option C the correct answer. This question assesses your understanding of ratios and proportions. Remember, when solving proportions, cross multiplication is a useful method to find the unknown value. In this case, the proportion is between 15 and 1000 in the first set, and x and 100 in the second set. By applying the cross multiplication method, you can determine that x equals 1, making Option C the correct answer.
Subtract: 9/10 - 2/5
- A. 1/2
- B. 3/10
- C. 4/10
- D. 1/4
Correct Answer: A
Rationale: To subtract fractions, you need a common denominator. In this case, convert 2/5 to an equivalent fraction with a denominator of 10, giving you 4/10. Now subtract: 9/10 - 4/10 = 5/10. Simplifying 5/10 to its lowest terms, you get 1/2. Therefore, the correct answer is 1/2, which represents the result of subtracting 2/5 from 9/10.
What is the result of adding 1/4 + 3/8?
- A. 4/12
- B. 1/3
- C. 5/8
- D. 1/2
Correct Answer: C
Rationale: To add fractions, a common denominator is needed. In this case, the common denominator is 8. Converting 1/4 to have the same denominator results in 2/8. Adding 2/8 + 3/8 gives 5/8. Thus, the correct answer is 5/8.
To ride a certain amusement park attraction, a person must be 48 inches tall. How many feet tall must a person be to meet this requirement? (Enter a numeric value only.)
- A. 4
- B. 5
- C. 6
- D. 3
Correct Answer: A
Rationale: To convert inches to feet, you need to divide by 12 because there are 12 inches in a foot. Therefore, 48 inches · 12 = 4 feet. Hence, the correct answer is A) 4 feet.
What is the result of multiplying 20.3 by 2? (Enter a numerical value only.)
- A. 40.5
- B. 40.6
- C. 41
- D. 39.5
Correct Answer: B
Rationale: To find the result of multiplying 20.3 by 2, you simply multiply the two numbers: 20.3 x 2 = 40.6. When multiplying decimals, multiply as if they were whole numbers and then adjust the decimal point in the product. In this case, the product is 40.6. Therefore, the correct answer is 40.6, rounded to the nearest tenth.