ASVAB ARITHMETIC REASONING TEST

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ASVAB ARITHMETIC REASONING TEST

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -17 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: Which of the following is NOT a factor of 90?

• 5
• 6
• 12
• 15

Answer:

The correct answer is (C) 12. A factor must divide evenly into its multiple. 12 cannot be a factor of 90 because 90 divided by 12 = 7.5.

Question 2: How many 1/3 pound paperback books together weigh 25 pounds?

• 35
• 50
• 60
• 75

Answer:

The correct answer is (D) 75. If each book weighs 1/3 pound, then 1 pound = 3 books. We can set up a proportion to solve: 1 pound / 3 books = 25 pounds / x books. Now cross-multiply: (1)(x) = (3)(25)

X = 75

Question 3: Each year, a cyber café charges its customers a base rate of $25, with an additional $0.30 per visit for the first 50 visits, and $0.10 for every visit after that. How much does the cyber café charge a customer for a year in which 72 visits are made?

A. 36.60

B. 42.20

C. 47.80

D. 51.10

Answer:

The correct answer is (B) $42.20. Translate the information into arithmetic. The café charges $25 + $0.30(first 50) + $0.10(additional after 50). For 72 visits there are 50 visits with an additional 22 visits.

$25 + $0.30(50) + $0.10(22)

=$25 +$15 + $2.20

=$42.20

Question 4: The first four terms in a sequence are shown below. What is the sixth term in the sequence?

{3, 6, 11, 18, ...}

• 25
• 27
• 38
• 51

Answer:

The correct answer is (C) 38. Begin by examining the sequence for a pattern. In order to go from 3 to 6,

• must be added; moving from 6 to 11 requires 5 to be added; moving from 11 to 18 requires 7 to be

added. The pattern emerges here - adding by consecutive odd integers.The 5th term is equal to 18 + 9 = 27, and the 6th term is equal to 27 + 11 = 38.Question 5: If Jill needed to buy 9 bottles of soda for a party in which 12 people attended, how many bottles of soda will she need to buy for a party in which 8 people are attending?

• 6

• 8
• 10
• 12

Answer:

The correct answer is (A) 6. We can set up a proportion to solve:

• bottles / 12 people = x bottles / 8 people.

Cross-multiply to solve a proportion:

(9)(8) = (12)(x) 72 = 12x

• = x

Question 6: Steve bought a total of 6 packages of pens, and each package contained either 3 or

• pens. If exactly 4 of the packages Steve bought contained 7 pens, how many pens did Steve

buy?

• 17
• 21
• 34
• 42

Answer:

The correct answer is (C) 34. If Steve bought 4 packages of 7 pens and 6 packages total, then he must have purchased 2 packages of 3 pens.

4(7) + 2(3) = 28 + 6 = 34

Question 7: If b does not equal zero, and ab = b/4, what is the value of a?

A. 1/8

B. 1/4

C. 1/3

D. 1/2

Answer:

The correct answer is (B) 1/4. To solve for a, divide both sides of the equation by b: ab = b/4 (ab)/b = (b/4)/b a = (b/4)*1/b

a = 1/4

Question 8: Which of the following expressions is equal to 38 when p = 35?

• 6p
• 9p
• 16p
• 27p

Answer:

The correct answer is (D) 27p. 38 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3, or 35 x 33 = p x 33 p x 33 = 27p

Question 9: If y + 3y + 5y = -18, then what is the value of y?

A -2 B -1 C -0 D 1

Answer:

The correct answer is (A) -2. When terms with the same variable are in the same equation, they can be combined.y + 3y + 5y = 7y 9y = -18 y = -18/9 y = -2 Question 10: Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 12 more photos than Claire.How many photos has Claire taken?

• 6
• 8
• 10
• 12

Answer:

The correct answer is (A) 6. Translate the information in the question from "English" to "Math." L = R