Wgu D771 Quantitative Literacy | Oa | Objective Assessment | Questions And Answers | Latest 2025/26 Update | 100% Correct

WGU D771 QUANTITATIVE LITERACY | OA |
OBJECTIVE ASSESSMENT | QUESTIONS AND
ANSWERS | LATEST 2025/26 UPDATE | 100% CORRECT
This comprehensive practice examination is designed for students preparing for the WGU D771
Quantitative Literacy Objective Assessment (OA). The examination covers essential quantitative
reasoning competencies including number sense and operations, algebraic expressions and
equations, ratios, proportions, percentages, probability, statistics and data analysis, geometry
and measurement, and real-world quantitative reasoning. Each question has been developed to
reflect the difficulty and format of the actual WGU D771 OA, with detailed rationales provided
for every answer to reinforce conceptual understanding. This guide is based on the latest
2025/2026 exam materials and is intended to help candidates assess their readiness, identify
knowledge gaps, and strengthen their preparation for successful completion of the Objective
Assessment.

Table of Contents
1. Number Sense and Operations
2. Algebraic Expressions and Equations
3. Ratios, Proportions, and Percentages
4. Probability and Statistics
5. Geometry and Measurement
6. Quantitative Reasoning in Context

,Question 1: A restaurant bills a family $85.40 for dinner. The sales tax rate is 6.5% and the
family wants to leave a 20% tip on the pre-tax amount. What is the total amount the family pays
including tax and tip?
A) $108.03
B) $107.33
C) $110.60
D) $103.48
Correct Answer: A
The tax is $85.40 × 0.065 = $5.55, and the tip is $85.40 × 0.20 = $17.08. The total is $85.40 +
$5.55 + $17.08 = $108.03. Option B incorrectly applies the tip to the post-tax total; Option C
overestimates the tip; Option D underestimates the tax or tip.


Question 2: Evaluate the expression: 8 + 3 × (12 – 4) ÷ 2 – 5
A) 35
B) 15
C) 27
D) 19
Correct Answer: B
Following PEMDAS: first compute the parentheses (12 – 4) = 8, then 3 × 8 = 24, then 24 ÷ 2 =
12, and finally 8 + 12 – 5 = 15. Option A results from evaluating strictly left to right without
respecting order of operations; Option C results from multiplying before dividing incorrectly;
Option D results from incorrect subtraction order.


Question 3: What is the prime factorization of 180?
A) 2 × 3 × 3 × 5 × 5
B) 2 × 2 × 3 × 5 × 5
C) 2 × 2 × 3 × 3 × 5
D) 2 × 2 × 2 × 3 × 3 × 5
Correct Answer: C
Dividing 180 by primes: 180 = 2 × 90 = 2 × 2 × 45 = 2 × 2 × 3 × 15 = 2 × 2 × 3 × 3 × 5.
Option A multiplies to 90; Option B multiplies to 300; Option D multiplies to 360.


Question 4: A car rental company charges $30 per day plus $0.25 per mile. What is the total cost
for renting a car for 3 days and driving 200 miles?
A) $140
B) $110

, C) $90
D) $150
Correct Answer: A
Daily charge: 3 × $30 = $90. Mileage charge: 200 × $0.25 = $50. Total = $90 + $50 = $140.
Option B omits the mileage charge; Option C includes only the daily charge; Option D
overcharges the mileage rate.


Question 5: Which fraction is equivalent to 0.625?
A) 5/8
B) 3/5
C) 7/11
D) 4/7
Correct Answer: A
5 ÷ 8 = 0.625. Option B (3/5 = 0.6); Option C (7/11 ≈ 0.636); Option D (4/7 ≈ 0.571).


Question 6: A price drops from $80 to $60. What is the percent decrease?
A) 15%
B) 20%
C) 25%
D) 33.3%
Correct Answer: C
Percent change = (change ÷ original) × 100. Change = $80 – $60 = $20. ($20 ÷ $80) = 0.25 ×
100 = 25%. Always divide by the original value. Option A is incorrect; Option B would be the
decrease if the original was $75; Option D would be the decrease if the original was $60 and it
dropped to $40.


Question 7: What is 25% of 480?
A) 120
B) 240
C) 96
D) 60
Correct Answer: A
Convert 25% to a decimal (0.25) and multiply by 480: 480 × 0.25 = 120. Percent literally means
"per hundred," so 25% = 25/100 = 0.25. Option B is 50% of 480; Option C is 20% of 480;
Option D is 12.5% of 480.