accuplacer arithmetic timed practice test

Commonly used by colleges and universities to place students into appropriate courses.

Of the following, which is closest to 17/6 + 6/17 ?
  • A. 1
  • B. 2
  • C. 3
  • D. 23
Correct Answer & Rationale
Correct Answer: C

To solve 17/6 + 6/17, we first find a common denominator, which is 102. Rewriting the fractions gives us (17*17)/(6*17) + (6*6)/(17*6) = 289/102 + 36/102 = 325/102. Dividing 325 by 102 yields approximately 3.19, which is closest to 3. Option A (1) is too low, as it does not account for the combined value of the fractions. Option B (2) is still below the calculated sum. Option D (23) is excessively high and not feasible given the values involved. Thus, option C (3) is the most accurate approximation.

Other Related Questions

A book is on sale for 25% off. If the original price of the book was D dollars, what is the sale price, in dollars, in terms of D?
  • A. D - 25
  • B. 7.5D
  • C. 0.75D
  • D. 0.25D
Correct Answer & Rationale
Correct Answer: C

To find the sale price of a book that is 25% off, we first calculate the discount amount, which is 25% of the original price D. This can be expressed as 0.25D. The sale price is then the original price minus the discount, or D - 0.25D, which simplifies to 0.75D. Option A (D - 25) incorrectly subtracts a fixed dollar amount rather than a percentage, making it irrelevant to the problem. Option B (7.5D) mistakenly applies the percentage in a way that inflates the price instead of reducing it. Option D (0.25D) represents only the discount amount, not the sale price. Thus, 0.75D accurately reflects the sale price after applying the discount.
Marisol has 5 times as many books as Jerry. Jerry has 15 books. How many books does Marisol have?
  • A. 10
  • B. 20
  • C. 75
  • D. 225
Correct Answer & Rationale
Correct Answer: C

To determine how many books Marisol has, start by recognizing that she has 5 times the number of books Jerry has. Since Jerry has 15 books, you multiply 15 by 5: 15 × 5 = 75. Thus, Marisol has 75 books. Option A (10) is incorrect as it suggests Marisol has fewer books than Jerry. Option B (20) also underestimates her total, as it does not account for the multiplication factor of 5. Option D (225) overestimates the total by incorrectly multiplying the number of Jerry's books. Only option C accurately reflects the calculation based on the relationship between Marisol's and Jerry's books.
Which of the following is equivalent to 1.04?
  • A. 52/51
  • B. 51/50
  • C. 27/25
  • D. 26/25
Correct Answer & Rationale
Correct Answer: D

To determine the equivalence to 1.04, we can convert each fraction to a decimal. Option A, 52/51, equals approximately 1.0196, which is less than 1.04. Option B, 51/50, equals 1.02, also less than 1.04. Option C, 27/25, equals 1.08, exceeding 1.04. Option D, 26/25, simplifies to 1.04, matching the target value exactly. Thus, only option D accurately represents 1.04, while the others deviate from this value.
Fred worked 39.5 hours last week. Alice worked 6.75 fewer hours than Fred. How many hours did Alice work?
  • A. 33.75 HOURS
  • B. 33.25 HOURS
  • C. 33.35 HOURS
  • D. 33.85 HOURS
Correct Answer & Rationale
Correct Answer: A

To determine how many hours Alice worked, subtract the hours she worked less than Fred from Fred's total. Fred worked 39.5 hours, and Alice worked 6.75 hours fewer. Calculating this: 39.5 - 6.75 = 32.75 hours. However, this calculation is incorrect. The correct calculation should be: 39.5 - 6.75 = 32.75 hours. This means option A (33.75 hours) is incorrect. Option B (33.25 hours), C (33.35 hours), and D (33.85 hours) also do not match the correct calculation. Thus, none of the options are correct based on the provided data.