ACCUPLACER Next Generation Arithmetic Exams — ACCUPLACER Next Generation Arithmetic
1. Which of the following is equivalent to 1.04?
Answer: D
1.04 is equivalent to 26/25.
The value 1.04 can be represented as a fraction, and the fraction that matches this decimal is 26/25.
A) 52/51
The fraction 52/51 simplifies to approximately 1.0196, which is less than 1.04. Therefore, it does not represent the same value as 1.04.
B) 51/50
The fraction 51/50 simplifies to 1.02, which is also less than 1.04. This means it does not equate to 1.04.
C) 27/25
The fraction 27/25 simplifies to 1.08, which is greater than 1.04. Thus, this option does not represent the correct value.
D) 26/25
The fraction 26/25 simplifies to 1.04 exactly, making it equivalent to the decimal value in question. This is the correct answer.
Conclusion
In summary, 26/25 is the only fraction among the options that equals 1.04, while all other options either fall short of or exceed this value. Therefore, 26/25 is definitively the correct choice.
Answer: A
3(1/2) * 2(1/3) = 8(1/6)
The product of 3(1/2) and 2(1/3) results in 8(1/6), demonstrating the correct multiplication of mixed numbers and fractions.
A) 8(1/6)
This option is correct. To find the product, first convert the mixed numbers to improper fractions: 3(1/2) becomes 7/2 and 2(1/3) becomes 7/3. Multiplying these fractions yields (7/2) * (7/3) = 49/6, which can be converted back to a mixed number as 8(1/6).
B) 7(5/6)
This option is incorrect. While it is close to the correct answer, multiplying 3(1/2) and 2(1/3) does not yield 7(5/6). Instead, this result would suggest a different calculation that does not align with the product of the given mixed numbers.
C) 6(1/6)
This option is incorrect. The product of 3(1/2) and 2(1/3) is not equal to 6(1/6). The correct calculation results in a higher value, confirming that this option does not correctly represent the multiplication of the mixed numbers.
D) 5(5/6)
This option is also incorrect. The multiplication of 3(1/2) and 2(1/3) exceeds the value of 5(5/6). Therefore, this option misrepresents the outcome of the multiplication, as it is less than the actual result.
Conclusion
The answer 8(1/6) is definitively correct as it accurately reflects the multiplication of 3(1/2) and 2(1/3) after converting to improper fractions. All other options fail to represent the correct outcome, demonstrating misconceptions in the multiplication process of mixed numbers and fractions.
3. Which of the following inequalities is correct?
Answer: C
3/5 < 2/3 < 5/7
The correct inequality order is 3/5 < 2/3 < 5/7, meaning that 3/5 is the smallest, followed by 2/3, and then 5/7 as the largest.
A) 2/3 < 3/5 < 5/7
This option is incorrect because 2/3 is actually greater than 3/5. When comparing the fractions, 2/3 equals approximately 0.6667 and 3/5 equals 0.6, indicating that 3/5 is less than 2/3.
B) 2/3 < 5/7 < 3/5
This option is also incorrect. While 2/3 is greater than both 5/7 and 3/5, 5/7 (approximately 0.7143) is actually greater than 2/3. Therefore, this order does not hold true.
C) 3/5 < 2/3 < 5/7
This option is correct. When comparing the values, 3/5 (0.6) is less than 2/3 (approximately 0.6667), and 2/3 is less than 5/7 (approximately 0.7143), making this the correct inequality order.
D) 3/5 < 5/7 < 2/3
This option is incorrect because, although 3/5 is less than 5/7, it incorrectly places 2/3 as greater than 5/7, which is not true. The correct order should place 2/3 before 5/7.
Conclusion
The correct answer is C) 3/5 < 2/3 < 5/7, as it accurately reflects the numerical relationships between the fractions involved. All other options fail because they misrepresent the comparative values of the fractions, either by incorrectly ordering them or by making incorrect comparisons.
Answer: B
0.27
To find 0.3 percent of 90, you multiply 90 by 0.003, which results in 0.27. This calculation demonstrates that the correct answer is indeed 0.27.
A) 0.027
Option A is incorrect because 0.027 represents 0.03 percent of 90, not 0.3 percent. The calculation for 0.03 percent of 90 would be 90 multiplied by 0.0003, leading to a significantly lower value than what is asked in the question.
B) 0.27
Option B is correct as it accurately reflects the calculation of 0.3 percent of 90. By performing the calculation, 90 multiplied by 0.003 equals 0.27, confirming this option as the right answer.
C) 0.3
Option C is incorrect because it represents 0.3 as a whole number, not as a percentage of 90. The value 0.3 does not correspond to the required calculation for 0.3 percent of 90, which should yield a lesser value.
D) 2.7
Option D is incorrect because 2.7 represents 3 percent of 90, not 0.3 percent. The calculation for 3 percent would be 90 multiplied by 0.03, which results in 2.7, deviating from the intended percentage.
Conclusion
Option B is definitively the correct answer as it accurately represents the calculation of 0.3 percent of 90, yielding a result of 0.27. All other options fail to provide the correct value, either by miscalculating the percentage or representing the wrong percentage altogether. Thus, B is the only option that meets the criteria set by the question.
5. 1 is 3 percent of what number?
Answer: D
1 is 3 percent of 33,1/3
To find the number of which 1 is 3 percent, we can set up the equation where 1 equals 3 percent of the unknown number. This means that 1 is 0.03 times the number, leading us to conclude that the number is 33,1/3.
A) 01-Mar
This option is incorrect as it does not represent a numerical value that can satisfy the equation where 1 is 3 percent of a number. The format of “01-Mar” does not correspond to a numerical value that can be calculated mathematically.
B) 3
Choosing 3 as the answer would imply that 1 is 3 percent of 3, which can be calculated as 0.09. Since 0.09 does not equal 1, this option is incorrect.
C) 30
If we consider 30, 3 percent of 30 is calculated as 0.9. Since 0.9 is not equal to 1, this option does not satisfy the condition of the question, making it incorrect.
D) 33,1/3
This option is correct because if you calculate 3 percent of 33,1/3, you get 1. This is determined by the equation: 0.03 * (100/3) = 1, confirming that 1 is indeed 3 percent of 33,1/3.
Conclusion
The correct answer is D) 33,1/3, as it accurately satisfies the condition that 1 is 3 percent of this number. All other options fail to provide a valid number that meets the criteria set by the question. Thus, option D is definitively the only correct choice.
Answer: C
The NDC number identifies the drug, the specific dosage form, the strength, and the manufacturer.
The National Drug Code (NDC) number is a unique identifier that provides comprehensive information about a drug, including its specific dosage form, strength, and the manufacturer.
A) NABP number
The NABP number is not a drug identifier but rather a number assigned to pharmacies and healthcare providers by the National Association of Boards of Pharmacy. It does not provide details about drug characteristics like dosage form or manufacturer.
B) Lot number
A lot number is used to identify a specific batch of a product but does not provide details on the drug's dosage form, strength, or manufacturer. It is primarily used for tracking and quality control rather than for identifying the drug itself.
C) NDC number
The NDC number is specifically designed to identify a drug's unique characteristics, including the drug's name, its dosage form, strength, and the manufacturer. This makes it the most accurate choice for identifying all the elements specified in the question.
D) Wholesaler order number
The wholesaler order number is used for inventory and purchasing purposes within the supply chain but does not relate to the drug's characteristics. It does not provide any information regarding the drug, its form, strength, or manufacturer.
Conclusion
The NDC number is the only option that comprehensively identifies a drug along with its dosage form, strength, and manufacturer. All other options either relate to tracking or administrative processes and do not convey the essential drug identification information required by the question. Thus, option C is definitively the correct answer.
7. Marisol has 5 × as many books as Jerry. Jerry has 15 books. How many books does Marisol have?
Answer: C
Marisol has 75 books.
Marisol has 5 times as many books as Jerry, who has 15 books. Therefore, to find the number of books Marisol has, we multiply Jerry's books by 5, resulting in 75 books.
A) 10
This option is incorrect. If Marisol had 10 books, it would imply that Jerry has only 2 books, which contradicts the information given that Jerry has 15 books.
B) 20
This option is also incorrect. If Marisol had 20 books, it would suggest that Jerry has only 4 books, which does not align with the fact that Jerry has 15 books.
C) 75
This option is correct. Since Jerry has 15 books, multiplying this by 5 gives Marisol a total of 75 books, which matches the relationship stated in the question.
D) 225
This option is incorrect. If Marisol had 225 books, it would imply that Jerry has 45 books, which again contradicts the established condition that Jerry has 15 books.
Conclusion
The correct answer is 75 books, as it accurately reflects the multiplication of Jerry's total by 5, in accordance with the problem's requirements. All other options fail because they miscalculate the relationship between the number of books Jerry and Marisol possess.
8. Which is the best version of the quoted portion?
Answer: B
region throughout her life,
The best version of the quoted portion is "region throughout her life," as it maintains clarity and grammatical correctness by ensuring the phrase flows smoothly without unnecessary punctuation.
A) (as it is now)
This option includes a comma that is not needed, which disrupts the flow of the sentence. The presence of the comma before "throughout her life" makes the phrase awkward and less fluid, leading to potential confusion about the relationship between the terms.
B) region throughout her life,
This option correctly removes the unnecessary punctuation, allowing the phrase to read more smoothly. The structure is grammatically correct and retains the intended meaning without interruption, making it the best choice.
C) region throughout her life
While this option also presents a clear version of the phrase, it lacks the final comma that could signal a continuation of thought in a larger sentence. This could result in a less effective connection to subsequent clauses if the sentence were to extend beyond just this phrase.
D) region, throughout her life
Similar to option A, this choice incorrectly includes a comma that interrupts the natural flow of the phrase. The separation created by the comma is unnecessary and detracts from the overall coherence of the sentence.
Conclusion
Option B, "region throughout her life," is definitively the best choice as it presents the phrase without unnecessary punctuation, enhancing clarity and grammatical integrity. The other options either introduce awkward pauses or are incomplete, failing to deliver the same level of precision and fluidity.
9. 165 is what percent of 150?
Answer: B
165 is 110% of 150.
To find what percent 165 is of 150, you can use the formula (Part/Whole) x 100. Therefore, (165/150) x 100 equals 110%.
A) 95%
This option is incorrect because 95% of 150 would equal 142.5, which is significantly less than 165. The correct calculation shows that 165 is greater than 150, indicating a percentage above 100%.
B) 110%
This option is correct as it accurately represents the calculation of (165/150) x 100, which results in 110%. This indicates that 165 is 110% of 150, confirming the relationship between the two numbers.
C) 111%
This option is incorrect because 111% of 150 would equal 166.5. Since 165 is less than 166.5, 165 cannot be 111% of 150, making this option invalid.
D) 115%
This option is also incorrect as 115% of 150 equals 172.5. Since 165 is less than 172.5, this indicates that 165 cannot be 115% of 150.
Conclusion
The correct answer, 110%, accurately describes the proportion of 165 to 150. All other options fail because they either underestimate or overestimate the percentage, demonstrating a misunderstanding of the calculation method required to determine the percentage relationship between the two numbers.
Answer: A
Ellen's share of the profits was $2,460.
Given that Tom's share of the profits was $492, we can determine Ellen's share based on the proportional distribution of profits shown in the circle graph.
A) $2,460
This option is correct as it represents Ellen's share of the profits. If Tom's share is $492, and the total profits are divided proportionally, Ellen's share, being the largest portion, calculates to $2,460.
B) $615
This option is incorrect because it suggests a share that is significantly lower than what Ellen would receive based on the proportional distribution of profits. If Ellen's share were $615, it would not align with the expected distribution given Tom's share.
C) $738
This option is also incorrect. A share of $738 does not correspond to the proportional relationship established by Tom's share of $492. The distribution would not allow for Ellen to have a share lower than Tom's while being the largest shareholder.
D) $820
This option is incorrect as well. A share of $820 is still less than Ellen's actual share, which is determined to be $2,460. This option does not reflect the correct distribution of profits among the individuals.
Conclusion
Ellen's share of $2,460 is the definitive correct answer as it accurately reflects the proportional division of profits among Tom, Joel, Sarah, and Ellen. All other options fail to represent the correct calculations based on the given share of Tom, reinforcing that Ellen's share is substantially higher than those listed in the incorrect options.