Nokea
Compare the relationships of these numbers. ¼ is-------- than 2/24
- A. less than
- B. equal to
- C. greater than
Correct Answer: C
Rationale: To compare ¼ and 2/24, convert both fractions to have a common denominator. LCD is 24. ¼ = 6/24 and 2/24 = 2/24. 6/24 is greater than 2/24 since 6 is larger than 2. Therefore, the correct answer is C (greater than). Choice A (less than) and B (equal to) are incorrect as ¼ is larger than 2/24 when compared using the same denominator. Choice D is incomplete and doesn't provide any comparison.
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Compare the relationships of these numbers: 0.25 is _______ to 25%.
- A. equal
- B. greater
- C. less
- D. not comparable
Correct Answer: A
Rationale: 0.25 is equivalent to 25% because they represent the same value in different forms. 0.25 is the decimal representation of 25% (0.25 = 25/100), making them equal in value. When comparing these two numbers, they are not greater or lesser than each other; they are exactly the same amount, just expressed differently. Therefore, the correct answer is 'equal' as 0.25 and 25% are essentially the same numeric value in different formats, demonstrating an equal relationship between them.
In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?
- A. 1
- B. 9
- C. 12
- D. 20
Correct Answer: B
Rationale: If two-thirds of the students are boys, then one-third must be girls. To find the number of girls, we calculate one-third of the total number of students. Since the total number of students is 27, one-third of 27 is 9. Therefore, there are 9 girls in Mr. Garcia's class.
How many fluid ounces are in 2 1/2 gallons?
- A. 300 oz
- B. 3,200 oz
- C. 320 oz
- D. 51.2 oz
Correct Answer: C
Rationale: To convert gallons to fluid ounces, we know that 1 gallon is equal to 128 fluid ounces. Therefore, to find out how many fluid ounces are in 2 1/2 gallons, we multiply 2.5 (2 1/2) by 128.
2.5 * 128 = 320
So, there are 320 fluid ounces in 2 1/2 gallons.
Rationale:
A: 300 oz is incorrect because it is less than the correct answer of 320 oz.
B: 3,200 oz is incorrect as it is too large for the amount of 2 1/2 gallons.
C: 320 oz is correct as calculated.
D: 51.2 oz is incorrect as it does not accurately represent the conversion of 2 1/2 gallons to fluid ounces.
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.
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.