WGU C784 OBJECTIVE ASSESSMENT (LATEST 2025/ 2026 UPDATE) APPLIED
HEALTHCARE STATISTICS | QUESTIONS AND VERIFIED ANSWERS| 100%
CORRECT| GRADE A+ ASSURED
Question 1
Given the following set of numbers: 3.3, -2.3, -16, 25. What are the square roots of the whole
number in this set?
A) +/- 2.3
B) +/- 3.3
C) +/- 4
D) +/- 5
E) +/- 16
Correct Answer: D) +/- 5
Rationale: First, identify the whole number in the set. 3.3 and -2.3 are decimals, and -16 is
an integer but not a whole number (whole numbers must be 0 or greater). Therefore, 25 is
the only whole number. The square root of 25 is 5, because 5 x 5 = 25. In mathematics,
square roots have both a positive and negative solution because (-5) x (-5) also equals 25.
Question 2
Which of the following best describes a composite number?
A) A number that can only be divided by one and itself.
B) A number with more factors than just one and itself.
C) A number that is less than zero.
D) A number that cannot be written as a fraction.
E) A number that represents a state of being.
Correct Answer: B) A number with more factors that just one and itself.
Rationale: Composite numbers are the opposite of prime numbers. While prime numbers
only have two factors (1 and the number itself), composite numbers have at least one
additional factor. For example, 4 is composite because its factors are 1, 2, and 4.
Question 3
Given the following set of numbers: 10, 2.5, -4, -4.5, 5. What is the sum when adding together
only the whole numbers?
, 2
A) 5.5
B) 11
C) 12.5
D) 15
E) 19
Correct Answer: D) 15
Rationale: Identify the whole numbers first. Whole numbers are non-negative integers (0, 1,
2, 3...). In this set, 10 and 5 are the only whole numbers. 2.5 and -4.5 are decimals, and -4 is
an integer but not a whole number. Adding the whole numbers (10 + 5) equals 15.
Question 4
Solve the following expression using the proper order of operations: 4 + 7 × (6 - 3)²
A) 25
B) 46
C) 67
D) 99
E) 121
Correct Answer: C) 67
Rationale: Follow PEMDAS (Parentheses, Exponents, Multiplication, Addition). First, solve
the parentheses: (6 - 3) = 3. Next, handle the exponent: 3² = 9. Then, perform
multiplication: 7 × 9 = 63. Finally, perform addition: 4 + 63 = 67.
Question 5
Solve the following expression using the proper order of operations: 5 x (30 - 27)² + 4
A) 34
B) 49
C) 65
D) 81
E) 139
, 3
Correct Answer: B) 49
Rationale: Apply PEMDAS: 1) Parentheses: (30 - 27) = 3. 2) Exponents: 3² = 9. 3)
Multiplication: 5 x 9 = 45. 4) Addition: 45 + 4 = 49.
Question 6
What is the greatest common factor (GCF) of 132 and the square root of 121?
A) 1
B) 2
C) 10
D) 11
E) 12
Correct Answer: D) 11
Rationale: First, find the square root of 121, which is 11. Now, find the GCF of 132 and 11.
Since 11 is a prime number, we check if 132 is divisible by 11. 132 ÷ 11 = 12. Because 11 goes
into 132 evenly, 11 is the largest number that divides both values.
Question 7
What is the greatest common factor (GCF) of 24 and 84 using prime factorization?
A) 2
B) 4
C) 8
D) 12
E) 24
Correct Answer: D) 12
Rationale: Prime factors of 24: 2 x 2 x 2 x 3. Prime factors of 84: 2 x 2 x 3 x 7. The common
factors are two 2s and one 3. Multiply the common factors together: 2 x 2 x 3 = 12.
Therefore, 12 is the GCF.
Question 8
Calculate the result of the following subtraction: 3/14 - 1/7
A) 1/14
B) 2/7
, 4
C) 5/14
D) 3/2
E) 1/7
Correct Answer: A) 1/14
Rationale: To subtract fractions, you need a common denominator. The least common
multiple of 14 and 7 is 14. Convert 1/7 to have a denominator of 14 by multiplying the top
and bottom by 2: (1x2)/(7x2) = 2/14. Now subtract: 3/14 - 2/14 = 1/14.
Question 9
Calculate the result of the following addition: 2/3 + 1/4
A) 3/7
B) 3/12
C) 8/3
D) 11/12
E) 1
Correct Answer: D) 11/12
Rationale: The least common denominator for 3 and 4 is 12. Convert 2/3 to 8/12 (multiply
by 4/4). Convert 1/4 to 3/12 (multiply by 3/3). Add the numerators: 8/12 + 3/12 = 11/12.
Question 10
A patient's protein intake for today has been 15.76g, 8.49g, and 22.58g. What is the total protein
intake rounded to the nearest tenth?
A) 46.5g
B) 46.8g
C) 46.9g
D) 47g
E) 47.1g
Correct Answer: B) 46.8g
Rationale: First, sum the values: 15.76 + 8.49 + 22.58 = 46.83. To round to the nearest tenth,
look at the hundredths place (3). Since 3 is less than 5, we keep the tenths digit as it is. The
result is 46.8.
HEALTHCARE STATISTICS | QUESTIONS AND VERIFIED ANSWERS| 100%
CORRECT| GRADE A+ ASSURED
Question 1
Given the following set of numbers: 3.3, -2.3, -16, 25. What are the square roots of the whole
number in this set?
A) +/- 2.3
B) +/- 3.3
C) +/- 4
D) +/- 5
E) +/- 16
Correct Answer: D) +/- 5
Rationale: First, identify the whole number in the set. 3.3 and -2.3 are decimals, and -16 is
an integer but not a whole number (whole numbers must be 0 or greater). Therefore, 25 is
the only whole number. The square root of 25 is 5, because 5 x 5 = 25. In mathematics,
square roots have both a positive and negative solution because (-5) x (-5) also equals 25.
Question 2
Which of the following best describes a composite number?
A) A number that can only be divided by one and itself.
B) A number with more factors than just one and itself.
C) A number that is less than zero.
D) A number that cannot be written as a fraction.
E) A number that represents a state of being.
Correct Answer: B) A number with more factors that just one and itself.
Rationale: Composite numbers are the opposite of prime numbers. While prime numbers
only have two factors (1 and the number itself), composite numbers have at least one
additional factor. For example, 4 is composite because its factors are 1, 2, and 4.
Question 3
Given the following set of numbers: 10, 2.5, -4, -4.5, 5. What is the sum when adding together
only the whole numbers?
, 2
A) 5.5
B) 11
C) 12.5
D) 15
E) 19
Correct Answer: D) 15
Rationale: Identify the whole numbers first. Whole numbers are non-negative integers (0, 1,
2, 3...). In this set, 10 and 5 are the only whole numbers. 2.5 and -4.5 are decimals, and -4 is
an integer but not a whole number. Adding the whole numbers (10 + 5) equals 15.
Question 4
Solve the following expression using the proper order of operations: 4 + 7 × (6 - 3)²
A) 25
B) 46
C) 67
D) 99
E) 121
Correct Answer: C) 67
Rationale: Follow PEMDAS (Parentheses, Exponents, Multiplication, Addition). First, solve
the parentheses: (6 - 3) = 3. Next, handle the exponent: 3² = 9. Then, perform
multiplication: 7 × 9 = 63. Finally, perform addition: 4 + 63 = 67.
Question 5
Solve the following expression using the proper order of operations: 5 x (30 - 27)² + 4
A) 34
B) 49
C) 65
D) 81
E) 139
, 3
Correct Answer: B) 49
Rationale: Apply PEMDAS: 1) Parentheses: (30 - 27) = 3. 2) Exponents: 3² = 9. 3)
Multiplication: 5 x 9 = 45. 4) Addition: 45 + 4 = 49.
Question 6
What is the greatest common factor (GCF) of 132 and the square root of 121?
A) 1
B) 2
C) 10
D) 11
E) 12
Correct Answer: D) 11
Rationale: First, find the square root of 121, which is 11. Now, find the GCF of 132 and 11.
Since 11 is a prime number, we check if 132 is divisible by 11. 132 ÷ 11 = 12. Because 11 goes
into 132 evenly, 11 is the largest number that divides both values.
Question 7
What is the greatest common factor (GCF) of 24 and 84 using prime factorization?
A) 2
B) 4
C) 8
D) 12
E) 24
Correct Answer: D) 12
Rationale: Prime factors of 24: 2 x 2 x 2 x 3. Prime factors of 84: 2 x 2 x 3 x 7. The common
factors are two 2s and one 3. Multiply the common factors together: 2 x 2 x 3 = 12.
Therefore, 12 is the GCF.
Question 8
Calculate the result of the following subtraction: 3/14 - 1/7
A) 1/14
B) 2/7
, 4
C) 5/14
D) 3/2
E) 1/7
Correct Answer: A) 1/14
Rationale: To subtract fractions, you need a common denominator. The least common
multiple of 14 and 7 is 14. Convert 1/7 to have a denominator of 14 by multiplying the top
and bottom by 2: (1x2)/(7x2) = 2/14. Now subtract: 3/14 - 2/14 = 1/14.
Question 9
Calculate the result of the following addition: 2/3 + 1/4
A) 3/7
B) 3/12
C) 8/3
D) 11/12
E) 1
Correct Answer: D) 11/12
Rationale: The least common denominator for 3 and 4 is 12. Convert 2/3 to 8/12 (multiply
by 4/4). Convert 1/4 to 3/12 (multiply by 3/3). Add the numerators: 8/12 + 3/12 = 11/12.
Question 10
A patient's protein intake for today has been 15.76g, 8.49g, and 22.58g. What is the total protein
intake rounded to the nearest tenth?
A) 46.5g
B) 46.8g
C) 46.9g
D) 47g
E) 47.1g
Correct Answer: B) 46.8g
Rationale: First, sum the values: 15.76 + 8.49 + 22.58 = 46.83. To round to the nearest tenth,
look at the hundredths place (3). Since 3 is less than 5, we keep the tenths digit as it is. The
result is 46.8.
