ACCUPLACER Next Generation Arithmetic Exams — ACCUPLACER Next Generation Arithmetic Answers
1. 7.5/0.125 =
Answer: A
60
The result of dividing 7.5 by 0.125 equals 60, which can be verified through basic arithmetic calculations.
A) 60
This option is correct because dividing 7.5 by 0.125 yields 60. When performing the calculation, you can express 0.125 as 1/8, thus 7.5 divided by 1/8 is equivalent to 7.5 multiplied by 8, resulting in 60.
B) 90
This option is incorrect. If 7.5 were divided by a smaller number, such as 0.0833 (which is approximately 1/12), the result could be 90. However, dividing by 0.125 does not yield this result.
C) 0.6
This option is incorrect. Dividing 7.5 by 0.125 does not result in a value less than 1; 0.6 is much lower and does not correspond to the correct calculation.
D) 01/06
This option is incorrect. The expression 01/06 suggests a fraction, which does not relate to the division of 7.5 by 0.125. The correct answer is a whole number, not a fraction.
Conclusion
The correct answer is 60 because it accurately represents the result of the division operation. All other options fail to provide the correct result, with some suggesting values that are either too low or represent entirely different calculations.
2. Which of the following is equivalent to 0.755?
Answer: C
0.755 is equivalent to 151/200.
The fraction 151/200 represents the decimal 0.755 accurately when converted. This shows that the two values are equivalent.
A) 51/100
The fraction 51/100 is equivalent to 0.51, which does not match 0.755. Thus, this option is incorrect.
B) 03/04
The fraction 03/04 simplifies to 0.75. While close, it does not equal 0.755, making this option incorrect.
C) 151/200
This fraction converts to a decimal of 0.755, confirming that it is the correct representation of the given decimal.
D) 07/10
The fraction 07/10 simplifies to 0.7, which is lower than 0.755. Therefore, this option is incorrect.
Conclusion
The correct answer is 151/200, as it accurately converts to the decimal 0.755. All other options either represent different decimal values or do not approximate 0.755 closely enough, confirming that they are not equivalent.
3. Of the following, which best expresses 52 as a percent of 170?
Answer: A
52 is best expressed as 30% of 170.
To determine what percentage 52 is of 170, we calculate \( \frac{52}{170} \times 100 \), which results in approximately 30.59%. Therefore, 52 is closest to 30% of 170.
A) 30% of 170
This option is correct because calculating 30% of 170 yields \( 0.30 \times 170 = 51 \), which is very close to 52. Thus, 52 can be reasonably expressed as 30% of 170.
B) 33% of 170
This option is incorrect since calculating 33% of 170 results in \( 0.33 \times 170 = 56.1 \). This value exceeds 52, making it an improper representation of the percentage.
C) 35% of 170
This option is also incorrect. When calculating 35% of 170, we find \( 0.35 \times 170 = 59.5 \), which is greater than 52. Therefore, it does not accurately express 52 as a percentage of 170.
D) 40% of 170
This option is incorrect as well. Calculating 40% of 170 gives \( 0.40 \times 170 = 68 \), significantly higher than 52, hence it cannot represent 52 as a percentage of 170.
Conclusion
The option that best expresses 52 as a percent of 170 is 30%, as it yields a result closest to the actual calculation. All other options overshoot the value of 52, demonstrating that they cannot accurately represent it as a percentage of 170.
Answer: D
The diameters in order from least to greatest are 1(3/8), 1(1/2), and 1(3/4).
To arrange the diameters from least to greatest, we compare the sizes of the holes. The smallest diameter is 1(3/8) inches, followed by 1(1/2) inches, and the largest is 1(3/4) inches.
A) 1(1/2), 1(3/4), 1(3/8)
This option is incorrect as it lists the diameters in the wrong order, placing 1(3/8) last instead of first. The correct order requires identifying 1(3/8) as the smallest diameter.
B) 1(1/2), 1(3/8), 1(3/4)
This option also presents an incorrect order, as it places 1(1/2) before 1(3/8). The proper arrangement necessitates that 1(3/8) precedes both 1(1/2) and 1(3/4).
C) 1(3/8), 1(3/4), 1(1/2)
While this option begins correctly by placing 1(3/8) first, it incorrectly lists 1(3/4) before 1(1/2). The correct sequence requires that 1(1/2) comes after 1(3/8) but before 1(3/4).
D) 1(3/8), 1(1/2), 1(3/4)
This option correctly lists the diameters in ascending order: starting with the smallest, 1(3/8), followed by 1(1/2), and finally 1(3/4). This accurately represents the relative sizes of the holes.
Conclusion
Option D is definitively correct as it accurately reflects the increasing order of the diameters from least to greatest. All other options fail to arrange the sizes correctly, either misplacing the smallest diameter or not following the necessary order established by their sizes.
5. If a number rounded to the nearest hundredth is 9.99, which of the following could be the number?
Answer: C
The number could be 9.992.
Rounding the number to the nearest hundredth results in 9.99, which indicates that the original number must be within the range of 9.985 to 9.995. The option 9.992 falls within this range.
A) 9.845
The number 9.845 rounds to 9.85 when rounded to the nearest hundredth, which is outside the required range of 9.985 to 9.995. Therefore, this option is incorrect.
B) 9.983
The number 9.983 rounds to 9.98 when rounded to the nearest hundredth, which also does not meet the criteria of rounding to 9.99. Thus, this option is incorrect.
C) 9.992
The number 9.992 rounds to 9.99 when rounded to the nearest hundredth, placing it within the acceptable range of 9.985 to 9.995. Therefore, this option is correct.
D) 2.998
The number 2.998 rounds to 3.00 when rounded to the nearest hundredth, which is far outside the specified range of 9.985 to 9.995. Consequently, this option is incorrect.
Conclusion
The correct answer is 9.992 because it is the only option that rounds to 9.99 when rounded to the nearest hundredth. All other options either round to a different number or fall outside the necessary rounding range. Thus, 9.992 is the only viable candidate that meets the criteria set by the question.
Answer: A
6[4 + 2(1 - 3)] = 24
To solve the expression, we first simplify inside the brackets. The calculation results in 6 multiplied by 4, which gives us the final answer of 24.
A) 24
This option correctly represents the result of the expression. Following the order of operations, we first calculate the expression inside the parentheses (1 - 3), which equals -2. Then we multiply by 2 to get -4, and finally, we add this to 4, resulting in 0. Multiplying 6 by this sum gives us 24.
B) 20
This option is incorrect. It likely results from an error in calculation, as it does not align with the correct simplification of the expression. The correct steps do not lead to a total of 20.
C) 24
This option is incorrect as it repeats the correct answer already stated in A. It does not provide any new or alternate evaluation of the expression, leading to potential confusion.
D) 48
This option is also incorrect. It implies an incorrect understanding of the order of operations or miscalculating the expression, as the final result is not close to 48.
Conclusion
The correct answer is definitively A) 24, as it accurately reflects the result of the expression evaluated step by step according to mathematical principles. All other options fail to align with the correct calculation process or result, confirming that A is the only valid answer.
Answer: A
3 X (1/2 + 1/3) = 2,1/2
To solve the equation, first find the sum of the fractions inside the parentheses. The sum of 1/2 and 1/3 is 5/6. Then, multiplying this by 3 gives us 3 * (5/6) = 15/6, which simplifies to 2,1/2.
A) 2,1/2
This option is correct because it accurately represents the result of the calculation. After finding a common denominator and adding the fractions, the product with 3 simplifies correctly to 2,1/2.
B) 2,5/6
This option is incorrect as it suggests that the result of the calculation is larger than what it actually is. The correct evaluation of 3 * (1/2 + 1/3) does not yield this outcome.
C) 3,1/6
This option is also incorrect. It implies that the result is greater than 3, which contradicts the calculated value. The multiplication of 3 by the sum of 1/2 and 1/3 does not lead to this answer.
D) 3,5/6
This option is incorrect as well. It incorrectly suggests that the result exceeds 3, which is not supported by the computation of 3 * (1/2 + 1/3). The actual result falls below this value.
Conclusion
The calculation confirms that the correct answer is 2,1/2, as it accurately reflects the process of summing the fractions and multiplying by 3. All other options are incorrect because they misrepresent the results of the arithmetic operations performed.
Answer: D
The store sold 132 copies of the CD in March.
The store's sales in March amounted to 132 copies after experiencing a 10 percent increase in February and a subsequent 20 percent increase in March.
A) 120
Option A is incorrect because it does not account for the 10 percent increase in sales from January to February. Selling 120 copies would imply that there was no increase in sales, which contradicts the information provided.
B) 122
Option B is also incorrect. This figure does not reflect the 20 percent increase over the sales in February. Calculating a 10 percent increase on 100 brings the February total to 110, and a 20 percent increase on that would yield 132, not 122.
C) 130
Option C is incorrect as well. While it is higher than the previous options, it still fails to properly calculate the sales from February to March. The correct calculation shows a total of 132 copies sold in March after the proper percentage increases are applied.
D) 132
Option D is correct. The store sold 100 copies in January, which increased to 110 in February due to the 10 percent increase. In March, the 20 percent increase on the February total of 110 results in 132 copies sold, accurately reflecting the problem's conditions.
Conclusion
The correct answer is 132, as it accurately follows the sales progression from January through March, incorporating the specified percentage increases. All other options fail to reflect the accurate calculations based on the sales data provided. Thus, Option D is the only choice that aligns with the information given in the problem.
9. 1 is 3 percent of what number?
Answer: D
1 is 3 percent of 33,1/3
To determine what number 1 is 3 percent of, we can set up the equation where 1 equals 3 percent of a number. This calculation leads to the conclusion that 1 is 3 percent of 33,1/3.
A) 01-Mar
Option A is incorrect because "01-Mar" does not represent a numerical value that can be related to the question. It appears to be a date format and is irrelevant in the context of determining a percentage relationship.
B) 3
Option B is incorrect because if 1 were 3 percent of 3, the calculation would yield 0.09, not 1. Thus, this option does not satisfy the condition set by the question.
C) 30
Option C is incorrect since 3 percent of 30 equals 0.9, which is not equal to 1. Therefore, this choice does not fulfill the requirement of the question.
D) 33,1/3
Option D is correct. Calculating 3 percent of 33,1/3 (which is approximately 33.33) yields exactly 1. This satisfies the condition that 1 is 3 percent of this number.
Conclusion
The correct answer, D, is definitively right because it accurately represents the relationship described in the question. All other options fail to meet the criteria, as they either represent incorrect numerical values or do not yield 1 when calculated as 3 percent.
10. 76 ÷ 0.01 =
Answer: D
76 ÷ 0.01 = 7,600
Dividing 76 by 0.01 results in 7,600, as this operation is equivalent to multiplying 76 by 100.
A) 0.76
This option is incorrect because dividing by a decimal less than 1 actually increases the value. Instead of decreasing, the result should be a much larger number.
B) 7.6
This choice is also incorrect. While 7.6 is a smaller number, dividing by 0.01 should yield a much larger result, not a reduction.
C) 760
This option is incorrect as well. Although 760 is a larger number, it does not represent the correct outcome of the division; the actual result is significantly larger.
D) 7,600
This option is correct because dividing 76 by 0.01 is the same as multiplying 76 by 100, leading to 7,600.
Conclusion
The correct answer is 7,600, as division by a small decimal increases the value. Other options fail to recognize that dividing by 0.01 scales the number up significantly rather than down. Thus, only option D accurately reflects the mathematical operation performed.