Nokea
Multiply: 5/12 X 4/9 =
- A. 5\12
- B. 15\54
- C. 5\27
- D. 10\27
Correct Answer: C
Rationale: To multiply fractions, multiply the numerators together (5 x 4 = 20) and the denominators together (12 x 9 = 108). Therefore, 5/12 x 4/9 = 20/108. Simplifying this fraction gives 5/27, which is choice C. Choices A, B, and D are incorrect because they do not result from the correct multiplication of the fractions. Choice A is simply one of the original fractions, choice B is not the correct simplified form, and choice D is not the correct result of multiplying 5/12 by 4/9.
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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 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.
Which number is the highest?
- A. 0.077
- B. 0.777
- C. 0.08
- D. 0.87
Correct Answer: D
Rationale: To determine the highest number among the given options, we compare the digits place by place starting from the left. Among the provided numbers, 0.87 is the highest as it has the largest digit in the tenths place. In comparison, 0.777 has a larger hundredths place than 0.08, and 0.077 is the smallest number among the options. Therefore, 0.87 is the correct answer as it is the greatest value presented.
Ratio and Proportion: 240 : X :: 80 : 0.8 (Enter a numeric value only.)
- A. 2.4
- B. 3.2
- C. 4
- D. 1.6
Correct Answer: A
Rationale: To solve for X, set up the proportion: 240/X = 80/0.8. Cross-multiply to get 240 * 0.8 = 80 * X, which simplifies to 192 = 80X. Dividing both sides by 80 gives X = 192/80 = 2.4. Therefore, the correct answer is A) 2.4.
Subtract 7 7/10 - 3 4/5 =
- A. 4 & 1/10
- B. 11 & 1/2
- C. 4 & 3/5
- D. 3 & 9/10
Correct Answer: D
Rationale: To subtract mixed numbers, convert them to improper fractions. 7 7/10 = 77/10 and 3 4/5 = 19/5. When subtracting 77/10 - 19/5, we get 31/10, which simplifies to 3 & 1/10. Therefore, the correct answer is 3 & 9/10. The mistake in the original question was in option A, which incorrectly stated 4 & 1/10 instead of the correct answer 3 & 9/10.