PCAT-SECTION3 questions and answers

Question 1

Single choice

Express 239 in scientific notation.

1. A

   Option A

2. B

   Option B

3. C

   Option C

4. D

   Option D

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Correct answerC

Explanation

The number 239 is expressed in scientific notation by first expressing the value in terms of a real number such that 1 a < 10. In this case, the number becomes 2.39. In order to retain the original number, the
number must be multiplied by 100 which, in terms of exponents, is 102. Thus, in scientific notation, 239 =
2.39 x 100 = 2.39 x 102.

Question 2

Single choice

1. A

   Option A

2. B

   Option B

3. C

   Option C

4. D

   Option D

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Correct answerC

Question 3

Single choice

Evaluate the following derivative:

1. A

   Option A

2. B

   Option B

3. C

   Option C

4. D

   Option D

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Correct answerA

Question 4

Single choice

( 5.4 x 107) ÷ (2.7 x 103) =

1. A

   Option A

2. B

   Option B

3. C

   Option C

4. D

   Option D

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Correct answerB

Explanation

To divide the two numbers in scientific notation, you have:

Question 5

Single choice

The ratio of boys to girls in the graduating class of a school is 3:2.
If there are a total of 430 students in the class, how many girls are in the graduating class?

1. A

   74

2. B

   86

3. C

   172

4. D

   215

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Correct answerC

Explanation

To find the total number of girls in the science class, we must first find the fraction of students in the class who are girls. For every set of 5 students, 2 students are girls, yielding a fraction of 2/5 .
Thus, the total number of girls in the class is

Question 6

Single choice

What is the range of the data set?

1. A

   3.7mL

2. B

   4.5mL

3. C

   5.8mL

4. D

   9.8mL

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Correct answerD

Explanation

The range or the difference between the largest and smallest values in this data set is
12.2mL2.4mL=9.8mL.

Question 7

Single choice

Chemistry students performed nine volume measurements of a solution during a lab and obtained the following results:
{2.4mL, 3.2mL, 3.7mL, 3.7mL, 4.5mL, 6.8mL, 7.3mL, 8.1mL, 12.2mL}

What is the median of the data set?

1. A

   3.7mL

2. B

   4.5mL

3. C

   5.8mL

4. D

   9.8mL

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Correct answerB

Explanation

The median is the middle or center value of the data set arranged in ascending numerical order, or 4.5mL.

Question 8

Single choice

Evaluate the following definite integral:

1. A

   4920

2. B

   2560

3. C

   2179

4. D

   1659

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Correct answerA

Question 9

Single choice

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:

1. A

   20%

2. B

   33%

3. C

   40%

4. D

   50%

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Correct answerB

Question 10

Single choice

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

1. A

   1/6

2. B

   3/6

3. C

   4/6

4. D

   5/6

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Correct answerD

Question 11

Single choice

1. A

   96/36

2. B

   84/36

3. C

   73/36

4. D

   65/36

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Correct answerC

Explanation

The sum of

Canbe found by first computing the value of each term