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ASVAB STUDY QUESTIONS ARITHMETIC REASONING

Exam (elaborations) Feb 17, 2026
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ASVAB STUDY QUESTIONS (ARITHMETIC REASONING)

EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -15 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: the exponent operation (or raising to the exponent/power)

Explanation: The correct order of operations is Parentheses, Exponents, Multiplication or Division (left to right), then Addition or Subtraction (left to right). In this problem, evaluate the exponent first (33=27); division next (24÷8=3); multiplication (2?27=54); subtraction (3-3=0); addition (0+54). A good way to remember this is to learn: Please Excuse My Dear Aunt Sally.

Answer:

In this series of mathematical operations 3-24÷8+2?33, what operation is the first to be performed?

Question 2: yes

Explanation: The ratio of strawberries to the total, given as 1:4, also means that the ratio of strawberries to grapes to the total is 1:3:4 (because 1 strawberry and 3 grapes make a total of 4).We now see that the ratio of grapes to the total is 3:4 (or 3/4). Solving for the number of grapes:

48?3/4=36

Answer:

Can this question be solved with only the given information?"A basket contains 48 pieces of strawberries and grapes. If the ratio of strawberries to the total is 1:4, how many grapes are there?"

Question 3: $22.50

Explanation: 30-(0.25?30)=30-7.50=22.50

Answer:

A pair of shoes that originally sold at $30 is now being offered at a 25% discount.What is its present price?

Question 4: 3

Explanation: 50÷2=25

Answer:

In the following question, what number is unnecessary to find the correct answer?"A bus seats 50 people and it is filled to half its capacity. How many people are there if 3 rows of seats are empty?"

Question 5: division

Explanation: Other buzzwords for division are how many each and per.

Answer:

An arithmetic question that asks about the quotient or ratio of two numbers tells you to perform what mathematical operation?

Question 6: 24

Explanation: 3*8=24

Answer:

The numbers 3 and 8 are factors of what product?

Question 7: division, then multiplication

Explanation: 60÷3?2=40

Answer:

What operations will be used to solve this question?"In a class, 2 out of 3 students are girls. How many girls are there if there are 60 girls in all?"

Question 8: a total of 100 animals

Explanation: "Find the ratio of cats to dogs in a pet shop if there are 24 cats, 36 dogs, and a total of 100 animals."

Answer:

Identify the irrelevant information in this mathematical question:

"Find the ratio of cats to dogs in a pet shop if there are 24 cats, 36 dogs, and a total of 100 animals."

Question 9: 1/3

Explanation: All three given fractions reduce to 13.

Answer:

The fractions 8/24, 9/27, and 12/36 are equivalent fractions.What is their simplest form?

Question 10: 6 pieces of candy

Explanation: The cost of the remaining contents: 2?23=1.33 The cost of the portion that each

boy got: 1.33÷3=0.44

Answer:

What information is irrelevant in this question?A third of a 2-dollar candy bag was already consumed and 3 boys divided the remaining contents equally among themselves. What is the cost of the portion that each boy got if each got 6 pieces?

Question 11: multiplication

Explanation: The word of is a buzzword for multiplication. The words times, twice and thrice also indicate multiplication.

Answer:

When asked for "0.50 of 12," what operation is performed

Question 12: 950 cupcakes

Explanation: 120?2?4=960

Answer:

If Emma bakes 120 cupcakes in one hour, how many cupcakes can she bake in 2 days if she works 4 hours a day?

Question 13: addition

Explanation: Other buzzwords for addition are: total, increase, more, plus, and older by....

Answer:

The words combine, together, and sum suggest what mathematical operation?

Question 14: 0.25

Explanation: A percentage means "out of 100", or 25100, so 25%, converts to 0.25 by dividing 25 by 100. The fraction 14 converts to 0.25 by dividing 1 by 4.

Answer:

The numbers 25% and ¼ are the same as the decimal number ____?

Question 15: 7.2 minutes

Explanation: Time = Distance ÷ Speed

Time= 6÷50=0.12hours?60minuteshour=7.2minutes

Answer:

How many minutes will it take Tony to travel by car from his house to his workplace if the distance is 6 miles and he drives at 50 mph?

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