PCAT PCAT Certifications PCAT Questions & Answers

• Question 31:

  Put the following integers in order from greatest to least: -52, 16, -12, 14, 8, -5, 0.

  A. -52, 16, -12, 14, 8, -5, 0

  B. 0, -5, 8, -12, 14, 16, -52

  C. -5, -12, -52, 0, 8, 14, 16

  D. 16, 14, 8, 0, -5, -12, -52

  Correct Answer: D

  Think of the numbers as they would be on a number line to place them in the correct order.

• Question 32:

  What fractional part of an hour is 400 seconds?

  A. 1/5

  B. 1/6

  C. 1/7

  D. 1/9

  Correct Answer: D

  Each hour has 60 minutes, and each of those minutes has 60 seconds. Expressed in seconds, then, an

  hour is 60 ?60 = 3600.

  400 / 3600 = 1/9.

• Question 33:

  Two even integers and one odd integer are multiplied together. Which of the following could be their product?

  A. 3.75

  B. 9

  C. 16.2

  D. 24

  Correct Answer: D

  Integers include all positive and negative whole numbers and the number zero. The product of three integers must be an integer, so you can eliminate any answer choice that is not a whole number: choices

  [3.75] and [16.2]. The product of two even integers is even. The product of even and odd integers is even. The only even choice is 24.

• Question 34:

  Which of the following fractions is halfway between 2/5 and 4/9?

  A. 2/3

  B. 2/20

  C. 17/40

  D. 19/45

  Correct Answer: D

  Find the common denominator for the two fractions so that you can compare them. You can use the common denominator of 45, as follows: 2/5 = 18/45 4/9 = 20/45

  Look at the numerators: 18 and 20. The number halfway between them is 19, so the answer is 19/45

• Question 35:

  What is the radius of a wheel that covers 100 m in 50 rotations?

  A. m

  B. 1/ m

  C. 2 m

  D. 2/ m

  Correct Answer: B

• Question 36:

  If number x is subtracted from 27, the result is -5. What is number x?

  A. 22

  B. 25

  C. 32

  D. 35

  Correct Answer: C

  In this problem, if you do not know how to solve, try filling in the answer choices to see which one checks out. Many math problems may be solved by a guess and check method when you have a selection of answer choices. 27 - x = -5x =

• Question 37:

  Which set contains the solutions for 6x2 = -5x - 1?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: B

• Question 38:

  What is:

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: A

  Begin by simplifying the expression in the numerator:

  

  Dividing the numerator by 4:

  

• Question 39:

  The mean of 17 exam scores is 26. After one exam is dropped, the mean drops to 25.625. What is the value of the exam that was dropped?

  A. 33

  B. 32

  C. 30

  D. 35

  Correct Answer: B

• Question 40:

  At what time will an object be at rest if its position function is given by: x(t) = t3 - 9t2 + 24t

  A. t = 0

  B. t = 3

  C. t = 4

  D. t = 8

  Correct Answer: C