Asvab-arithmetic Reasoning

1. Which quantity is NOT equal to 75(32 + 88)?

D. (88 + 32) × 75

A. 75 × 32 + 75 × 88

B. Choice B does not equal the expression in the question because the value of 75 must be multiplied by both 32 and 88, not just 32.

C. 75(88 + 32)

Choice B does not equal the expression in the question because the value of 75 must be multiplied by both 32 and 88, not just 32.

Explanation

Choice B does not equal the expression in the question because the value of 75 must be multiplied by both 32 and 88, not just 32.

2. A man bought 3 dozen eggs at the store. There are a dozen eggs in each carton. When he got home, he discovered that 2 eggs in each of the cartons were broken. What part of the eggs was not broken?

34 eggs were broken and 2 were not broken

The correct answer is A. The man bought 36 (12 × 3 = 36) eggs. If 2 eggs in each of the 3 cartons were broken, then 2 × 3, or 6, eggs were broken. So 36 – 6, or 30, eggs were not broken:

24 eggs were broken and 12 eggs were not broken

18 eggs were broken and 18 were not broken

The correct calculation shows that out of the total 36 eggs purchased, 6 were broken and 30 were not broken.

Explanation

The correct calculation shows that out of the total 36 eggs purchased, 6 were broken and 30 were not broken.

3. On a house plan on which 2 inches represents 5 feet, the length of a room measures 12 inches inches. The actual length of the room, in feet, is

15 feet

Set up a proportion comparing inches to feet and solve for the actual length in feet: The actual length is feet.

7.5 feet

5 feet

Set up a proportion comparing inches to feet and solve for the actual length in feet. The correct answer is obtained by cross-multiplying and dividing to get 10 feet.

Explanation

Set up a proportion comparing inches to feet and solve for the actual length in feet. The correct answer is obtained by cross-multiplying and dividing to get 10 feet.

4. An appliance store gives a 15% discount off the list price of all of its merchandise. The store gives an additional 30% discount for a floor model. A television set that has a list price of $300 and is a floor model sells for

$220

$210

$265

First, take 15% of the list price: $300 × 0.15 = $45. Subtract the discount to get the new price: $300 – $45 = $255. Then take 30% of this new price: $255 × 0.30 = $76.50. Subtract this discount to get the final price: $255 – $76.50 = $178.50.

Explanation

First, take 15% of the list price: $300 × 0.15 = $45. Subtract the discount to get the new price: $300 – $45 = $255. Then take 30% of this new price: $255 × 0.30 = $76.50. Subtract this discount to get the final price: $255 – $76.50 = $178.50.

5. Craig spent exactly one dollar to buy 3-cent stamps and 5-cent stamps. The number of 5-cent stamps that he could NOT have bought is

13

. If Craig bought 5 5-cent stamps, he could have bought 25 3-cent stamps ($0.25 + $0.75). If Craig bought 8 5-cent stamps, he could have bought 20 3-cent stamps ($0.40 + $0.60). If Craig bought 11 5-cent stamps, he could have bought 15 3-cent stamps ($0.55 + $0.45). If Craig bought 9 5-cent stamps ($0.45), there is no whole number of 3-cent stamps that he could have bought because 55 is not evenly divisible by 3.

6

10

If Craig bought 9 5-cent stamps, there is no whole number of 3-cent stamps that he could have bought because 45 is not evenly divisible by 3.

Explanation

If Craig bought 9 5-cent stamps, there is no whole number of 3-cent stamps that he could have bought because 45 is not evenly divisible by 3.

6. A man invests $10,000 in a bond that pays him $5.12 annually for every $100 he invests. How much is he paid at the end of the year?

$412

$552

$620

Divide the total amount by $100 to determine how many portions of $100 are in the investment: $10,000 ÷ $100 = 100. The man receives $5.12 for each portion, so he receives $5.12 × 100, or $512 at the end of the year.

To calculate the amount paid, divide the total amount by $100 to determine the number of $100 portions in the investment. Multiply this by the payment per portion ($5.12) to get the total amount received.

Explanation

To calculate the amount paid, divide the total amount by $100 to determine the number of $100 portions in the investment. Multiply this by the payment per portion ($5.12) to get the total amount received.

7. A truck driver travels a certain distance at 60 miles per hour and returns over the same road at 40 miles per hour. What is her average rate for the round trip?

C) 55 miles per hour

A) 50 miles per hour

B) 45 miles per hour

The distance is the same, so say the driver traveled a distance of 60 miles. It would take her 1 hour to get there and 1.5 hours to get back, based on the rates given in the question. So the total trip was 120 miles and it took 2.5 hours. Now calculate the average rate. Divide the distance by the time: 120 ÷ 2.5 = 48. Her average rate was 48 miles per hour.

In this case we need to consider the total distance travelled and the total time taken for the round trip to calculate the average rate correctly.

Explanation

In this case we need to consider the total distance travelled and the total time taken for the round trip to calculate the average rate correctly.