PCAT PCAT Certifications PCAT-SECTION3 Questions & Answers

• Question 51:

  What is the equation of a line that passes through the point (2, 3) and has a slope of -1/2?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: B

• Question 52:

  Solve for x: 4(2x + 20) +3(x 1) = 0

  A. 11

  B. 7

  C. -7

  D. 11

  Correct Answer: C

  This equation can be solved by simplifying each side of the equation, combining like terms, isolatingxon one side of the equation and then solving forx:

  

• Question 53:

  Solve for x: 10 + 5x2 = 135

  A. ±2

  B. ±5

  C. ±10

  D. ±25

  Correct Answer: B

• Question 54:

  What is the mean of the data set?

  A. 55

  B. 66

  C. 78

  D. 82

  Correct Answer: D

• Question 55:

  What is the median of the data set?

  A. 80

  B. 83

  C. 85

  D. 86

  Correct Answer: B

• Question 56:

  What is the probability that two cards drawn from a deck of cards are face cards (king, queen, or jack) of any suit if the first card drawn is replaced before the second card is drawn?

  A. 9/169

  B. 1/16

  C. 3/13

  D. 1/26

  Correct Answer: A

• Question 57:

  What is the probability of randomly selecting a ten card from a standard deck of cards?

  A. 1/52

  B. 1/13

  C. 12/13

  D. 51/12

  Correct Answer: B

  To determine the probability that a selected card is a ten, you should first note that a card can be selected from a deck inn= 52 different ways. Since there are four ten cards, one ten for each of the four suits, a ten can be drawn from the deck ins= 4 different ways. Thus, the probability that the selected card is a ten is:

  

• Question 58:

  On a single roll of a die, what is the probability of not getting a 2?

  A. 1/6

  B. 3/6

  C. 4/6

  D. 5/6

  Correct Answer: D

• Question 59:

  If and x/y = 8 and x=64, then what is the sum x + y?

  A. 56

  B. 64

  C. 72

  D. 81

  Correct Answer: C

  From the first equation, multiply both sides byyresulting in x= 8y.

  Becausex= 64, you can write

  64 = 8y

  Y=8

  Substituting the given information regardingxandyinto its sum yields:

  x+y= 64 + 8 = 72.

• Question 60:

  

  A. 96/36

  B. 84/36

  C. 73/36

  D. 65/36

  Correct Answer: C

  The sum of

  

  Canbe found by first computing the value of each term