STATISTICS | QUESTIONS AND VERIFIED ANSWERS| 100% CORRECT| GRADE A+
ASSURED
Question 1
Which of the following numbers is considered a whole number?
A) -5
B) 2.5
C) 0
D) 1/2
E) -1.0
Correct Answer: C) 0
Rationale: Whole numbers are the set of non-negative integers. This includes 0, 1, 2, 3, and
so on. Option A is an integer but not a whole number because it is negative. Options B and
D are rational numbers but contain decimal or fractional components, and whole numbers
must be "whole." Option E is negative and includes a decimal point, excluding it from the
whole number category.
Question 2
What is the square root of the only whole number in the following set: {-16, 3.5, 49, -4}?
A) +/- 4
B) +/- 3.5
C) +/- 7
D) +/- 2
E) There is no whole number in the set.
Correct Answer: C) +/- 7
Rationale: First, we must identify the whole number. -16 and -4 are integers but not whole
numbers because they are negative. 3.5 is a decimal. 49 is a positive integer with no
fractional part, making it a whole number. The square root of 49 is 7 because 7 × 7 = 49. In
mathematical terms, every positive number has both a positive and negative square root
(+7 and -7) because (-7) × (-7) also equals 49.
, 2
Question 3
Which of the following is a composite number?
A) 2
B) 13
C) 19
D) 21
E) 31
Correct Answer: D) 21
Rationale: A composite number is a positive integer greater than 1 that has more than two
factors (1 and itself). 21 is composite because its factors are 1, 3, 7, and 21. Options A, B, C,
and E are all prime numbers because they can only be divided evenly by 1 and themselves.
Question 4
Solve the expression using the proper order of operations: 10 + (8 - 3)² × 2
A) 60
B) 35
C) 110
D) 50
E) 65
Correct Answer: A) 60
Rationale: Using PEMDAS (Parentheses, Exponents, Multiplication/Division,
Addition/Subtraction): 1. Parentheses: (8 - 3) = 5. 2. Exponents: 5² = 25. 3. Multiplication:
25 × 2 = 50. 4. Addition: 10 + 50 = 60. Following this specific order is essential to reaching
the correct mathematical solution.
Question 5
What is the greatest common factor (GCF) of 36 and 54?
A) 6
B) 9
C) 12
, 3
D) 18
E) 108
Correct Answer: D) 18
Rationale: The GCF is the largest number that divides into both numbers without a
remainder. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54. The
largest factor present in both lists is 18. Alternatively, using prime factorization: 36 = 2² ×
3² and 54 = 2 × 3³. The GCF is the product of the lowest powers of common factors: 2¹ × 3²
= 2 × 9 = 18.
Question 6
Calculate the following: 5/12 + 1/4.
A) 6/16
B) 2/3
C) 8/12
D) 1/2
E) 7/12
Correct Answer: B) 2/3
Rationale: To add fractions, you must find a common denominator. The least common
multiple of 12 and 4 is 12. 1/4 is equivalent to 3/12 (multiply numerator and denominator
by 3). Now add the numerators: 5/12 + 3/12 = 8/12. This fraction can be simplified by
dividing both the numerator and denominator by their GCF, which is 4: 8 ÷ 4 = 2 and 12 ÷
4 = 3. The final answer is 2/3.
Question 7
A nurse is preparing a dosage of 2/3 of a gram. If the patient has already received 1/4 of a gram,
how much more is needed?
A) 5/12 g
B) 1/12 g
C) 3/7 g
D) 1/2 g
E) 3/4 g
, 4
Correct Answer: A) 5/12 g
Rationale: To find the remaining dose, subtract 1/4 from 2/3. The common denominator for
3 and 4 is 12. Convert the fractions: 2/3 = 8/12 and 1/4 = 3/12. Subtracting the numerators:
8/12 - 3/12 = 5/12 grams.
Question 8
Solve for x: 3x - 7 = 14
A) 2.33
B) 5
C) 7
D) 21
E) 3
Correct Answer: C) 7
Rationale: To isolate x, first add 7 to both sides of the equation (Addition Principle of
Equality): 3x = 21. Next, divide both sides by 3 (Division Principle of Equality): x = ,
which equals 7.
Question 9
A patient's fluid intake was recorded as 1.25 liters, 0.8 liters, and 2.155 liters. What is the total
intake rounded to the nearest hundredth?
A) 4.2 L
B) 4.21 L
C) 4.20 L
D) 4.205 L
E) 4.3 L
Correct Answer: B) 4.21 L
Rationale: First, add the numbers: 1.25 + 0.8 + 2.155 = 4.205. To round to the nearest
hundredth (the second decimal place), look at the thousandths digit (5). Since the
thousandths digit is 5 or greater, we round up the hundredths digit. The 0 becomes a 1,
resulting in 4.21 liters.