WGU C784 Applied Healthcare Statistics Objective
Assessment (OA
DOMAIN 1: BASIC NUMERACY & CALCULATION SKILLS
Questions 1–20
Question 1
What is the greatest common factor (GCF) of 48 and 72?
A) 8
B) 12
C) 24
D) 36
Correct Answer: C) 24
Rationale: The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The factors of 72
are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. The greatest factor common to both is 24.
Finding the GCF is essential for simplifying fractions in dosage calculations and
ratio problems.
Question 2
Which of the following numbers is a prime number?
A) 49
B) 51
C) 53
D) 57
Correct Answer: C) 53
Rationale: A prime number has exactly two distinct factors: 1 and itself. 53 is
divisible only by 1 and 53. 49 = 7², 51 = 3 × 17, and 57 = 3 × 19, making them
composite numbers.
,Question 3
Evaluate: 6³
A) 18
B) 36
C) 216
D) 729
Correct Answer: C) 216
Rationale: 6³ means 6 × 6 × 6 = 216. Exponents represent repeated
multiplication of a number by itself.
Question 4
What is the square root of 196?
A) 12
B) 13
C) 14
D) 16
Correct Answer: C) 14
Rationale: The square root of 196 is 14 because 14 × 14 = 196. Squaring a
number is the inverse operation of taking the square root.
Question 5
A patient's temperature is 99.6°F. What is this temperature in Celsius? (Formula:
°C = (°F − 32) × 5/9)
A) 35.6°C
B) 36.4°C
C) 37.6°C
D) 38.2°C
Correct Answer: C) 37.6°C
, Rationale: °C = (99.6 − 32) × 5/9 = 67.6 × 5/9 = 338/9 = 37.56 ≈ 37.6°C.
Temperature conversion is a common healthcare calculation.
Question 6
Simplify the expression: 8 + 3 × (6 − 4)²
A) 20
B) 44
C) 68
D) 242
Correct Answer: A) 20
Rationale: Following the order of operations (PEMDAS): parentheses first: (6 −
4) = 2. Then exponents: 2² = 4. Then multiplication: 3 × 4 = 12. Finally addition: 8 +
12 = 20.
Question 7
What is the absolute value of −15?
A) −15
B) 0
C) 15
D) 225
Correct Answer: C) 15
Rationale: The absolute value of a number is its distance from zero on the
number line, always expressed as a non-negative value. |−15| = 15.
Question 8
Identify the integer(s) in the following set: {−3.5, 0, 7, 2/3, −12, 4.2}
A) 0, 7, −12
B) −3.5, 0, 4.2
, C) 0, 7, 2/3, −12
D) All are integers
Correct Answer: A) 0, 7, −12
Rationale: Integers are whole numbers and their opposites (..., −3, −2, −1, 0,
1, 2, 3, ...). They do not include fractions or decimals. 0, 7, and −12 are integers;
−3.5, 2/3, and 4.2 are not.
Question 9
A medication is ordered at 2.5 mg per kg of body weight. The patient weighs 176
pounds. How many mg should be administered? (1 kg = 2.2 lbs)
A) 150 mg
B) 200 mg
C) 250 mg
D) 300 mg
Correct Answer: B) 200 mg
Rationale: First convert pounds to kg: 176 lbs ÷ 2.2 = 80 kg. Then calculate
dose: 2.5 mg/kg × 80 kg = 200 mg. Weight-based dosing is a fundamental nursing
calculation.
Question 10
What is the least common multiple (LCM) of 6 and 8?
A) 12
B) 24
C) 36
D) 48
Correct Answer: B) 24
Rationale: The multiples of 6 are 6, 12, 18, 24, 30... The multiples of 8 are 8,
16, 24, 32... The smallest multiple common to both is 24. LCM is used when
finding common denominators.
Assessment (OA
DOMAIN 1: BASIC NUMERACY & CALCULATION SKILLS
Questions 1–20
Question 1
What is the greatest common factor (GCF) of 48 and 72?
A) 8
B) 12
C) 24
D) 36
Correct Answer: C) 24
Rationale: The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The factors of 72
are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. The greatest factor common to both is 24.
Finding the GCF is essential for simplifying fractions in dosage calculations and
ratio problems.
Question 2
Which of the following numbers is a prime number?
A) 49
B) 51
C) 53
D) 57
Correct Answer: C) 53
Rationale: A prime number has exactly two distinct factors: 1 and itself. 53 is
divisible only by 1 and 53. 49 = 7², 51 = 3 × 17, and 57 = 3 × 19, making them
composite numbers.
,Question 3
Evaluate: 6³
A) 18
B) 36
C) 216
D) 729
Correct Answer: C) 216
Rationale: 6³ means 6 × 6 × 6 = 216. Exponents represent repeated
multiplication of a number by itself.
Question 4
What is the square root of 196?
A) 12
B) 13
C) 14
D) 16
Correct Answer: C) 14
Rationale: The square root of 196 is 14 because 14 × 14 = 196. Squaring a
number is the inverse operation of taking the square root.
Question 5
A patient's temperature is 99.6°F. What is this temperature in Celsius? (Formula:
°C = (°F − 32) × 5/9)
A) 35.6°C
B) 36.4°C
C) 37.6°C
D) 38.2°C
Correct Answer: C) 37.6°C
, Rationale: °C = (99.6 − 32) × 5/9 = 67.6 × 5/9 = 338/9 = 37.56 ≈ 37.6°C.
Temperature conversion is a common healthcare calculation.
Question 6
Simplify the expression: 8 + 3 × (6 − 4)²
A) 20
B) 44
C) 68
D) 242
Correct Answer: A) 20
Rationale: Following the order of operations (PEMDAS): parentheses first: (6 −
4) = 2. Then exponents: 2² = 4. Then multiplication: 3 × 4 = 12. Finally addition: 8 +
12 = 20.
Question 7
What is the absolute value of −15?
A) −15
B) 0
C) 15
D) 225
Correct Answer: C) 15
Rationale: The absolute value of a number is its distance from zero on the
number line, always expressed as a non-negative value. |−15| = 15.
Question 8
Identify the integer(s) in the following set: {−3.5, 0, 7, 2/3, −12, 4.2}
A) 0, 7, −12
B) −3.5, 0, 4.2
, C) 0, 7, 2/3, −12
D) All are integers
Correct Answer: A) 0, 7, −12
Rationale: Integers are whole numbers and their opposites (..., −3, −2, −1, 0,
1, 2, 3, ...). They do not include fractions or decimals. 0, 7, and −12 are integers;
−3.5, 2/3, and 4.2 are not.
Question 9
A medication is ordered at 2.5 mg per kg of body weight. The patient weighs 176
pounds. How many mg should be administered? (1 kg = 2.2 lbs)
A) 150 mg
B) 200 mg
C) 250 mg
D) 300 mg
Correct Answer: B) 200 mg
Rationale: First convert pounds to kg: 176 lbs ÷ 2.2 = 80 kg. Then calculate
dose: 2.5 mg/kg × 80 kg = 200 mg. Weight-based dosing is a fundamental nursing
calculation.
Question 10
What is the least common multiple (LCM) of 6 and 8?
A) 12
B) 24
C) 36
D) 48
Correct Answer: B) 24
Rationale: The multiples of 6 are 6, 12, 18, 24, 30... The multiples of 8 are 8,
16, 24, 32... The smallest multiple common to both is 24. LCM is used when
finding common denominators.
