Nokea
Ratio and Proportion: 100: 2 :: 60 : X
- A. X = 1.6
- B. X = 2.2
- C. X = 12
- D. X = 1.2
Correct Answer: D
Rationale: To find X, set up the proportion: (100/2) = (60/X). Cross-multiply to get 100X = 120. Dividing both sides by 100 gives X = 1.2. Therefore, the correct answer is X = 1.2, which is option D.
You may also like to solve these questions
What is the sum of 6 3/4 and 8 1/6?
- A. 14 & 11/12
- B. 12 & 3/24
- C. 35/6
- D. 14 & 2/5
Correct Answer: A
Rationale: To add mixed numbers, convert them to improper fractions. 6 3/4 = 27/4, and 8 1/6 = 49/6. Add the fractions: 27/4 + 49/6 = 162/24 + 98/24 = 260/24. Simplify to 10 & 22/24, then to 11 & 10/12 or 11 & 5/6. Therefore, the correct sum is 14 & 11/12.
A salesman needs to sell 63 items to make his monthly goal. There are eighteen selling days left in the month. What is the average number of items he needs to sell daily to reach his goal?
- A. 4
- B. 3.5
- C. 7
- D. 8.5
Correct Answer: B
Rationale: Correct Answer: B (3.5)
Rationale:
1. 63 items to be sold in 18 days.
2. Calculate average items per day: 63 items ÷ 18 days = 3.5 items/day.
3. Hence, the salesman needs to sell 3.5 items daily to reach his goal.
Summary:
- Choice A (4): Incorrect, as the actual average is 3.5 items/day.
- Choice C (7): Incorrect, as it is double the correct average.
- Choice D (8.5): Incorrect, as it is more than double the correct average.
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.
What is the sum of 23.5 + 7.025?
- A. 30.525
- B. 30.5
- C. 30.025
- D. 16.475
Correct Answer: A
Rationale: To find the sum of 23.5 and 7.025, align the decimal points and add the numbers as if they were whole numbers. 23.5 + 7.025 equals 30.525. Therefore, the correct answer is A, which is 30.525. When adding decimal numbers, it is essential to maintain the alignment of decimal points and add the numbers accordingly. In this case, adding 23.5 and 7.025 results in 30.525, with the decimal point staying in the same position as the numbers being added.
A newborn weighs 8 pounds 5 ounces. There are 453.59 grams per pound. What is the infant's weight in grams?
- A. 2268 grams
- B. 3629 grams
- C. 3770 grams
- D. 3856 grams
Correct Answer: C
Rationale: To find the infant's weight in grams, first convert 8 pounds to grams by multiplying 8 pounds by 453.59 grams per pound, which equals 3628.72 grams. Then, convert 5 ounces to grams by multiplying 5 ounces by 28.35 grams per ounce, which equals 141.75 grams. Finally, add these two results together: 3628.72 grams + 141.75 grams = 3770 grams. Therefore, the infant's weight is 3770 grams, making choice C the correct answer.