ASVAB: ARITHMETIC REASONING (AR)
MASTER STUDY GUIDE
25+ (2026 A+ Graded) Exam-Style Questions | Verified Solutions |
Complete Answer Key
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📋 DOCUMENT OVERVIEW 28 Qs
This document, "ASVAB: Arithmetic Reasoning (AR) Master Study Guide," focuses on arithmetic
reasoning concepts, specifically covering topics such as multiplication and division, algebraic equations,
percentage calculations, and basic geometry. It provides 28 questions with correct answers and detailed
explanations, serving as a study aid to help students understand and reinforce arithmetic reasoning
concepts. By using this document, students can review and study arithmetic reasoning concepts,
ensuring a solid grasp of the necessary skills and knowledge for the ASVAB exam.
✓ Verified Answers ✓ Exam Ready ✓ Study Guide
Trusted by thousands of students and professionals worldwide
EXAM QUESTIONS
QUESTION 1
If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the
tow cost?
(a) $12.00
(b) $3.50
(c) $42.00
(d) $100.00
CORRECT ANSWER
C. Multiply 12 miles by $3.50 per mile:
12 × $3.50 = $42.00
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, RATIONALE: This calculation is correct because it accurately represents the total tow charge by multiplying the distance
traveled (12 miles) by the cost per mile ($3.50), which is a fundamental principle of multiplication used to find the total
cost of a quantity. The result, $42.00, is derived from the correct application of this principle, demonstrating the
student's understanding of how to solve multi-step problems involving multiplication and unit conversions.
QUESTION 2
The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number?
(a) 31
(b) 33
(c) 35
(d) 36
CORRECT ANSWER
A. x + x + 8 = 70, solve for x.
x = 31
RATIONALE: The equation A. x + x + 8 = 70 represents the sum of two numbers, where one number is 8 more than
the other, and the correct value of x solves for the smaller number in this scenario. The correct solution, x = 31, arises
from understanding that the two numbers are equal (x + x) and the extra 8 is the difference between the two, allowing
the equation to be simplified and solved accordingly.
QUESTION 3
A sales manager buys antacid in bottles the gross. If he goes through 3 bottles antacid everyday, how
long will the gross last?
(a) 144 days
(b) 3 days
(c) 20 days
(d) 48 days
CORRECT ANSWER
D. 144 bottles in a gross, and 144 ÷ 3 (bottles per day) = 48 days.
RATIONALE: The statement correctly calculates the duration by first establishing the total number of bottles in a gross,
which is a common unit of measurement equivalent to 144, and then dividing this total by the daily consumption of 3
bottles to determine the number of days the gross will last. This mathematical approach accurately represents the
situation and provides a logical solution based on the given information.
QUESTION 4
Jenny's test grades are 93,89, 96, and 98. If she wishes to raise her average to 95, what does she
need to score on her next test?
(a) 100
(b) 99
(c) 97
(d) 95
CORRECT ANSWER
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MASTER STUDY GUIDE
25+ (2026 A+ Graded) Exam-Style Questions | Verified Solutions |
Complete Answer Key
100% Guarantee Pass
📋 DOCUMENT OVERVIEW 28 Qs
This document, "ASVAB: Arithmetic Reasoning (AR) Master Study Guide," focuses on arithmetic
reasoning concepts, specifically covering topics such as multiplication and division, algebraic equations,
percentage calculations, and basic geometry. It provides 28 questions with correct answers and detailed
explanations, serving as a study aid to help students understand and reinforce arithmetic reasoning
concepts. By using this document, students can review and study arithmetic reasoning concepts,
ensuring a solid grasp of the necessary skills and knowledge for the ASVAB exam.
✓ Verified Answers ✓ Exam Ready ✓ Study Guide
Trusted by thousands of students and professionals worldwide
EXAM QUESTIONS
QUESTION 1
If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the
tow cost?
(a) $12.00
(b) $3.50
(c) $42.00
(d) $100.00
CORRECT ANSWER
C. Multiply 12 miles by $3.50 per mile:
12 × $3.50 = $42.00
Trusted by thousands of students and professionals worldwide Page 1 of 11
, RATIONALE: This calculation is correct because it accurately represents the total tow charge by multiplying the distance
traveled (12 miles) by the cost per mile ($3.50), which is a fundamental principle of multiplication used to find the total
cost of a quantity. The result, $42.00, is derived from the correct application of this principle, demonstrating the
student's understanding of how to solve multi-step problems involving multiplication and unit conversions.
QUESTION 2
The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number?
(a) 31
(b) 33
(c) 35
(d) 36
CORRECT ANSWER
A. x + x + 8 = 70, solve for x.
x = 31
RATIONALE: The equation A. x + x + 8 = 70 represents the sum of two numbers, where one number is 8 more than
the other, and the correct value of x solves for the smaller number in this scenario. The correct solution, x = 31, arises
from understanding that the two numbers are equal (x + x) and the extra 8 is the difference between the two, allowing
the equation to be simplified and solved accordingly.
QUESTION 3
A sales manager buys antacid in bottles the gross. If he goes through 3 bottles antacid everyday, how
long will the gross last?
(a) 144 days
(b) 3 days
(c) 20 days
(d) 48 days
CORRECT ANSWER
D. 144 bottles in a gross, and 144 ÷ 3 (bottles per day) = 48 days.
RATIONALE: The statement correctly calculates the duration by first establishing the total number of bottles in a gross,
which is a common unit of measurement equivalent to 144, and then dividing this total by the daily consumption of 3
bottles to determine the number of days the gross will last. This mathematical approach accurately represents the
situation and provides a logical solution based on the given information.
QUESTION 4
Jenny's test grades are 93,89, 96, and 98. If she wishes to raise her average to 95, what does she
need to score on her next test?
(a) 100
(b) 99
(c) 97
(d) 95
CORRECT ANSWER
Trusted by thousands of students and professionals worldwide Page 2 of 11
