PCAT PCAT Certifications PCAT-SECTION3 Questions & Answers

• Question 41:

  A full-time employee works 40 hours during a five-day week. The percentage of a five-day week that the employee is at work is:

  A. 20%

  B. 33%

  C. 40%

  D. 50%

  Correct Answer: B

• Question 42:

  A student obtained an average of 86 for a series of seven assignments. Six of the grades were 85, 78, 83, 91, 89, and 86. The grade of the seventh assignment is:

  A. 74

  B. 86

  C. 90

  D. 98

  Correct Answer: C

  From the information in the problem,

  

• Question 43:

  The mixed number 4 5/7 expressed as a fraction is:

  A. 5/7

  B. 20/7

  C. 33/7

  D. 45/7

  Correct Answer: C

• Question 44:

  Evaluate the following definite integral:

  

  A. 123.6

  B. 162.4

  C. 183.7

  D. 250.2

  Correct Answer: B

  You begin by solving the integral and then evaluating the result between the limits of 2 and 4.

  

• Question 45:

  Evaluate the following indefinite integral:

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: A

  Evaluatingthese integral yields:

  

• Question 46:

  Evaluate the following derivative:

  

  A. 35

  B. 84

  C. -84

  D. 120

  Correct Answer: C

  You first must calculate the derivative before you can evaluate the derivative at a given point.

  

  The derivative can now be evaluated at x=2 by plugging in the value of 2 for x in the derivative or

  

• Question 47:

  Evaluate the following derivative:

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: C

  The derivative of a polynomial is the sum of the derivatives of the terms of the polynomial, or:

  

• Question 48:

  Evaluate the following derivative:

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: A

  The derivative of this function can be evaluated by:

  

• Question 49:

  What is the slope of a line that passes through the points (0, 4) and (4, 0)?

  A. 4

  B. -1

  C. 0

  D. undefined

  Correct Answer: B

  The slope of a line that passes through the points (0, 4) and (4, 0) can be found by:

  

• Question 50:

  What is the slope of a line that passes through the points (3, 3) and (3, 3)?

  A. 3

  B. -3

  C. 0

  D. undefined

  Correct Answer: C

  The slope of a line that passes through the points (3, 3) and (3, 3) can be found by: