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Solve for x: 3:2 :: 24:x
- A. 16
- B. 12
- C. 2
- D. 22
Correct Answer: A
Rationale: To solve this proportion, we use the property that in a proportion, the product of the means is equal to the product of the extremes. So, 3 * x = 2 * 24. By solving for x, we find x = 16. Therefore, the correct answer is A. In this analogy, the relationship between the first pair of numbers (3 and 2) must hold true for the second pair of numbers (24 and x). By setting up the proportion, we can find the missing value x. This type of problem is common in mathematics and helps test your understanding of proportional relationships.
You may also like to solve these questions
What is the result of dividing 5 & 3/4 by 1/2, reduced to the simplest form?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, you first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Dividing 23/4 by 1/2 is equivalent to multiplying 23/4 by 2/1, resulting in 46/4. When simplified back to a mixed number, 46/4 is 11 & 1/2.
Divide: 41.2 ÷ 0.2 =
- A. 206
- B. 2.06
- C. 0.206
- D. 2.06
Correct Answer: A
Rationale: Correct Answer: A
Rationale:
1. Divide 41.2 by 0.2:
41.2 ÷ 0.2 = 412 ÷ 2 = 206.
Explanation:
To divide a decimal by another decimal, first, move the decimal point in both numbers to make the divisor a whole number. Then, divide as usual. The correct answer is 206.
Summary:
- Choice B (2.06) is incorrect as the decimal point was not moved correctly for division.
- Choice C (0.206) is incorrect as the decimal point was not moved correctly for division.
- Choice D (2.06) is incorrect as it doesn't reflect the correct result of dividing 41.2 by 0.2.
Convert 2100 to standard time =
- A. 9:00 PM
- B. 2:00 AM
- C. 2:00 PM
- D. 12:00 PM
Correct Answer: A
Rationale: To convert military time to standard time, subtract 12 hours if the time is after 12:00 PM. In this case, 2100 - 1200 = 900, which is equivalent to 9:00 PM in standard time notation. Remember that military time uses a 24-hour clock, where 2100 hours is equivalent to 9:00 PM in standard time format. Therefore, the correct answer is 9:00 PM.
Round to the nearest percentage point: Gerald made 13 out of the 22 shots he took in the basketball game. What was his shooting percentage?
- A. 13%
- B. 22%
- C. 59%
- D. 67%
Correct Answer: C
Rationale: To calculate Gerald's shooting percentage, divide the number of shots made (13) by the total shots taken (22) to get the fraction of shots made. Then, multiply this fraction by 100 to convert it to a percentage. The calculation is (13/22) * 100 = 0.59 * 100 = 59%. Therefore, Gerald's shooting percentage is 59%, which corresponds to choice C.
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 probability of rolling a specific number on a fair six-sided die is calculated by taking the total number of favorable outcomes (which is 1 in this case, as there is only one face with a 5) divided by the total possible outcomes (which is 6 for a standard die). Therefore, the probability of rolling a 5 is 1/6, which is approximately 16.6%. To convert the probability to a percentage, you multiply the fraction by 100, giving you 16.6%. Hence, the correct answer is C, 16.60%.