ARITHMETIC REASONING - ASVAB EXAM QUESTIONS

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ARITHMETIC REASONING - ASVAB EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -29 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: Davis donates 4/13 of his paycheck to his favorite charity. If he donates $26.80, what is the amount of his paycheck?

Answer:

$87.10

• Let p represent the amount of the paycheck. 4/13p? = , so ?.

Question 2: Dana receives $30 for her birthday and $15 for cleaning the garage. If she spends $16 on a CD, how much money does she have left?

Answer:

. $29

• Add the amount of money received and subtract the amount spent. $30 + $15 - $16 = $29.

Question 3: Mr. Triber earns a weekly salary of $300 plus 10% commission on all sales. If he sold $8,350 last week, what were his total earnings?

Answer:

. $1,135

The amount of commission is 10% × $8,350 = $835. Total earnings are $300 + $835 commission =

$1,135.

Question 4: On a map, 1 centimeter represents 4 miles. A distance of 10 miles would be how far apart on the map?

Answer:

• 2½ centimeters

• The proportion ? models this situation. Cross multiply. 1 × 10 = 4x, so 10 = 4x and ?.

Question 5: Standing by a pole, a boy 3 1/2 feet tall casts a 6-foot shadow. The pole casts a 24-foot shadow. How tall is the pole?

Answer:

14 feet Using the ratio ?, the proportion ? models this situation, where x represents the height of the pole. Cross multiply. ?, so 84 = 6x, and ? feet.Question 6: One-eighth of a bookstore's magazines are sold on a Friday. If ¼ of the remaining magazines are sold the next day, what fractional part of the magazines remains at the end of the second day?

Answer:

21/32

• At the end of the first day, there are ? of the magazines remaining. ? sold the next day. So at the end

of the second day, there are ? of the magazines remaining.Question 7: Heidi tallied the different car colors in the parking lot and summarized her results in a pie chart. There are 260 cars in the lot. How many cars are either red or black?

Answer:

143

• The percentage of cars that are either red or black are 25% + 30% = 55%. The total cars that are

either red or black is 260 × 55% = 143.Question 8: There are 72 freshmen in the band. If freshmen make up 1/3 of the entire band, the total number of students in the band is

Answer:

D. 216

• Let n represent the number of students in the band. Then 1/3n = 72, so n = 72 × 3 = 216.

Question 9: One phone plan charges a $20 monthly fee and $0.08 per minute on every phone call made. Another phone plan charges a $12 monthly fee and $0.12 per minute for each call.After how many minutes would the charge be the same for both plans?

• 60 minutes
• 90 minutes
• 120 minutes
• 200 minutes

Answer:

200 minutes Question 10: Roxanne deposited $300 into a savings account earning 5¼% annually. What is her balance after 1 year?

Answer:

. $315.75

• Interest earned in 1 year is ?. The total amount of the account after 1 year is $300 + $15.75 =

$315.75.

Question 11: Devin throws a football 7 1/3 yards. Carl throws it 2 1/2 times farther. How much farther did Carl's throw travel than Devin's?

Answer:

11 yards

• Carl's throw went ? yards. The difference between the two throws is ? yards.

Question 12: Sam buys three candy bars for 45 cents each and two packs of gum for 79 cents each. What is the total cost of this purchase?

Answer:

$2.93 The total cost of the purchase is (3 × $0.45) + (2 + $0.79) = $1.35 + $1.58 = $2.93.Question 13: Rachel ran ½ mile in 4 minutes. At this rate, how many miles can she run in 15 minutes?

Answer:

• 7/8

• The proportion ? models this situation. Cross multiply. ?, so ? and x = ? miles.

Question 14: A machine can produce 8,000 widgets in 3 hours. How many widgets are produced in 1 day?

Answer:

64,000

• If a machine produces 8,000 widgets in 3 hours, it produces ? widgets in 1 hour. There are 24 hours

in a day, so ? or 64,000 widgets are produced in 1 day.Question 15: Staci earns $9.50 an hour plus 3% commission on all sales made. If her total sales during a 30-hour work week were $500, how much did she earn?

Answer:

$300

• For a 30-hour week with $500 in sales, total earnings are (30 × $9.50) + (3% × $500) = $285 + $15 =

$300.Question 16: A cardboard box has a length of 3 feet, height of 2½ feet, and depth of 2 feet. If the length and depth are doubled, by what percent does the volume of the box change?

Answer:

300%

• The volume of the original box is ?. The volume of the box with the length and depth doubled is ?.

The amount of change in volume is 60 - 15 = 45. The percent change is the amount of change in

volume divided by the original volume:

Question 17: How many omelets can be made from 2 dozen eggs if an omelet contains 3 eggs?

Answer:

• 8

• There are 24 eggs in 2 dozen eggs. If 3 eggs are in an omelet, then 24 ÷ 3, or 8 omelets, can be

made.Question 18: A bread recipe calls for 3 1/4 cups of flour. If you only have 2 1/8 cups, how much more flour is needed?

Answer:

A. 1 1/8

• 3 1/4 - 2 1/8= 13/4 - 17/8= 26/8 - 17/8 = 9/8 = 1 1/8 more cups of flour