WGU C784 APPLIED HEALTHCARE
STATISTICS COMPLETE STUDY GUIDE
NEWEST 2026 | WGU C784 OBJECTIVE
ASSESSMENT PREP | PRACTICE
QUESTIONS AND DETAILED
RATIONALES | A+ STUDY RESOURCES
2026
Question
Given the following set of numbers: 3.3, -2.3, -16, 25. What are the square roots of the
whole number?
A. +/- 2.3
B. +/- 3.3
C. +/- 4
D. +/- 5
Expert Rationale: The whole number in the set is 25. The square root of 25 is 5, and since
both positive and negative roots are considered, the answer is ±5. Option D is correct. 3.3
and -2.3 are decimals, and -16 is negative, so they are not whole numbers nor do they have
real square roots in the set of whole numbers.
Question
Given the following set of numbers: 10, 2.5, -4, -4.5, 5. What is the sum when adding
together only the whole numbers?
A. 5.5
B. 11
C. 12.5
D. 15
,Expert Rationale: Whole numbers are non-negative integers (0, 1, 2, 3...). From the set, the
whole numbers are 10 and 5. Their sum is 10 + 5 = 15. 2.5 and -4.5 are decimals, and -4 is
negative, so they are excluded. Option D is correct.
Question
Given the following expression: 4 + 7 × (6 - 3)². What is the answer using proper order of
operations?
A. 25
B. 46
C. 67
D. 99
Expert Rationale: Using PEMDAS (Parentheses, Exponents, Multiplication/Division,
Addition/Subtraction): First solve inside parentheses: (6 - 3) = 3. Then exponent: 3² = 9.
Then multiplication: 7 × 9 = 63. Finally addition: 4 + 63 = 67. Option C is correct. Common
errors include adding before multiplying or miscalculating the exponent.
Question
Given the following expression: 5 × (30 - 27)² + 4. What is the correct answer using the
proper order of operations?
A. 34
B. 49
C. 65
D. 81
Expert Rationale: Apply PEMDAS: Parentheses first: (30 - 27) = 3. Exponent: 3² = 9.
Multiplication: 5 × 9 = 45. Addition: 45 + 4 = 49. Option B is correct. A frequent mistake is
adding before multiplying, which would yield an incorrect result.
Question
What is the greatest common factor of 132 and the square root of 121 using prime
factorization?
A. 1
B. 2
, C. 10
D. 11
Expert Rationale: The square root of 121 is 11. Prime factorization of 132 = 2 × 2 × 3 × 11 =
2² × 3 × 11. The prime factorization of 11 is 11. The common prime factor is 11. Therefore,
the greatest common factor is 11. Option D is correct.
Question
What is the greatest common factor of 24 and 84 using prime factorization?
A. 2
B. 4
C. 8
D. 12
Expert Rationale: Prime factorization of 24 = 2 × 2 × 2 × 3 = 2³ × 3. Prime factorization of 84
= 2 × 2 × 3 × 7 = 2² × 3 × 7. Common factors are 2² and 3. Multiply them: 4 × 3 = 12. Option D
is correct. The GCF is the product of the lowest powers of common prime factors.
Question
What is 3/14 - 1/7?
A. 1/14
B. 2/7
C. 5/14
D. 3/2
Expert Rationale: To subtract fractions, find a common denominator. The least common
denominator for 14 and 7 is 14. Convert 1/7 to 2/14. Then 3/14 - 2/14 = 1/14. Option A is
correct. The fraction is already in simplest form.
Question
What is 2/3 + 1/4?
A. 11/12
B. 3/12
C. 3/7
D. 8/3
STATISTICS COMPLETE STUDY GUIDE
NEWEST 2026 | WGU C784 OBJECTIVE
ASSESSMENT PREP | PRACTICE
QUESTIONS AND DETAILED
RATIONALES | A+ STUDY RESOURCES
2026
Question
Given the following set of numbers: 3.3, -2.3, -16, 25. What are the square roots of the
whole number?
A. +/- 2.3
B. +/- 3.3
C. +/- 4
D. +/- 5
Expert Rationale: The whole number in the set is 25. The square root of 25 is 5, and since
both positive and negative roots are considered, the answer is ±5. Option D is correct. 3.3
and -2.3 are decimals, and -16 is negative, so they are not whole numbers nor do they have
real square roots in the set of whole numbers.
Question
Given the following set of numbers: 10, 2.5, -4, -4.5, 5. What is the sum when adding
together only the whole numbers?
A. 5.5
B. 11
C. 12.5
D. 15
,Expert Rationale: Whole numbers are non-negative integers (0, 1, 2, 3...). From the set, the
whole numbers are 10 and 5. Their sum is 10 + 5 = 15. 2.5 and -4.5 are decimals, and -4 is
negative, so they are excluded. Option D is correct.
Question
Given the following expression: 4 + 7 × (6 - 3)². What is the answer using proper order of
operations?
A. 25
B. 46
C. 67
D. 99
Expert Rationale: Using PEMDAS (Parentheses, Exponents, Multiplication/Division,
Addition/Subtraction): First solve inside parentheses: (6 - 3) = 3. Then exponent: 3² = 9.
Then multiplication: 7 × 9 = 63. Finally addition: 4 + 63 = 67. Option C is correct. Common
errors include adding before multiplying or miscalculating the exponent.
Question
Given the following expression: 5 × (30 - 27)² + 4. What is the correct answer using the
proper order of operations?
A. 34
B. 49
C. 65
D. 81
Expert Rationale: Apply PEMDAS: Parentheses first: (30 - 27) = 3. Exponent: 3² = 9.
Multiplication: 5 × 9 = 45. Addition: 45 + 4 = 49. Option B is correct. A frequent mistake is
adding before multiplying, which would yield an incorrect result.
Question
What is the greatest common factor of 132 and the square root of 121 using prime
factorization?
A. 1
B. 2
, C. 10
D. 11
Expert Rationale: The square root of 121 is 11. Prime factorization of 132 = 2 × 2 × 3 × 11 =
2² × 3 × 11. The prime factorization of 11 is 11. The common prime factor is 11. Therefore,
the greatest common factor is 11. Option D is correct.
Question
What is the greatest common factor of 24 and 84 using prime factorization?
A. 2
B. 4
C. 8
D. 12
Expert Rationale: Prime factorization of 24 = 2 × 2 × 2 × 3 = 2³ × 3. Prime factorization of 84
= 2 × 2 × 3 × 7 = 2² × 3 × 7. Common factors are 2² and 3. Multiply them: 4 × 3 = 12. Option D
is correct. The GCF is the product of the lowest powers of common prime factors.
Question
What is 3/14 - 1/7?
A. 1/14
B. 2/7
C. 5/14
D. 3/2
Expert Rationale: To subtract fractions, find a common denominator. The least common
denominator for 14 and 7 is 14. Convert 1/7 to 2/14. Then 3/14 - 2/14 = 1/14. Option A is
correct. The fraction is already in simplest form.
Question
What is 2/3 + 1/4?
A. 11/12
B. 3/12
C. 3/7
D. 8/3
