Nokea
Ratio and Proportion: 9 : X :: 5 : 300
- A. 540
- B. 600
- C. 450
- D. 500
Correct Answer: A
Rationale: To find the value of X, set up the proportion: 9/X = 5/300. Cross-multiply to get 9 * 300 = 5 * X. Solve for X by dividing 2700 by 5, which equals 540. Therefore, the correct answer is A, which is 540.
You may also like to solve these questions
If a caregiver changes their baby 6 times a day, how many diapers will be needed in a year?
- A. 2160 diapers
- B. 2100 diapers
- C. 2190 diapers
- D. 6000 diapers
Correct Answer: C
Rationale: To determine the total number of diapers needed in a year, multiply the number of diaper changes per day (6) by the number of days in a year. Therefore, 6 diaper changes per day * 365 days per year = 2190 diapers. Hence, 2190 diapers will be needed in a year to keep up with the 6 diaper changes per day.
What is the result of adding 9.98 and 0.065?
- A. 10.63
- B. 10.045
- C. 1.0063
- D. 998.065
Correct Answer: B
Rationale: To find the sum of 9.98 and 0.065, you align the decimal points and add the numbers as you would with whole numbers: 9.98 + 0.065 = 10.045. Therefore, the correct answer is B, which is 10.045. When adding decimal numbers, it's essential to keep the decimal points aligned to ensure an accurate sum. In this case, the sum is 10.045.
Which fraction represents the largest value?
- A. 3/7
- B. 3/6
- C. 3/9
- D. 3/8
Correct Answer: B
Rationale: To determine the largest fraction when the numerators are the same, compare the denominators. A smaller denominator indicates a larger fraction as it represents more significant parts of a whole. In this case, the fractions all have a common numerator of 3. Comparing the denominators, 6 is the smallest, making 3/6 the largest fraction. Therefore, 3/6 represents the largest value among the options. Remember, when fractions have the same numerator, the fraction with the smaller denominator is larger as it represents a larger portion of the whole.
A library contains 67,982 books. The children's section represents 1/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section?
- A. 11,331
- B. 33,990
- C. 50,986
- D. 45,321
Correct Answer: A
Rationale: To find the number of books in the non-fiction section, start by calculating the number of books in the children's section: 67,982 * 1/3 = 22,661 books. Subtract the children's books from the total to determine the remaining books: 67,982 - 22,661 = 45,321 books. As 75% of the remaining books are fiction, calculate 75% of 45,321 = 33,990 (fiction books). To find the number of non-fiction books, subtract the fiction books from the remaining books: 45,321 - 33,990 = 11,331. Therefore, there are 11,331 non-fiction books in the library.
What is the result of adding 5 1/3 + 3 1/2?
- A. 8 1/6
- B. 8 2/3
- C. 8 5/6
- D. 9 1/6
Correct Answer: C
Rationale: To add mixed numbers, convert them to improper fractions. 5 1/3 = 16/3 and 3 1/2 = 7/2. Find a common denominator, in this case, 6: 16/3 = 32/6 and 7/2 = 21/6. Add the fractions: 32/6 + 21/6 = 53/6, which simplifies to 8 5/6. Therefore, the sum of 5 1/3 + 3 1/2 is 8 5/6.