ASVAB Arithmetic Reasoning Test 1

Question 1

With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?

Accepted Answer

10,000

Answer

To transform 3.475817 into 34,758.17, the decimal point needs to be moved four places to the right. Each shift of the decimal point one place to the right corresponds to multiplying by 10. Therefore, moving it four places to the right means multiplying by 10 x 10 x 10 x 10, which equals 10,000.

Question 2

How much greater is the value of 3x + 5 than the value of 3x − 7?

Accepted Answer

12

Answer

To find how much greater one expression is than another, subtract the second expression from the first: (3x + 5) - (3x - 7). Distributing the negative sign gives 3x + 5 - 3x + 7. The '3x' terms cancel out, leaving 5 + 7, which simplifies to 12. Thus, 3x + 5 is 12 greater than 3x - 7.

Question 3

Which of the following is NOT a factor of 90?

Accepted Answer

12

Answer

A factor of a number divides into that number evenly, with no remainder. We can check each option: 90/5 = 18, 90/6 = 15, and 90/15 = 6, so 5, 6, and 15 are all factors of 90. However, 90 divided by 12 results in 7.5, which is not an integer. Therefore, 12 is not a factor of 90.

Question 4

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?

Accepted Answer

6

Answer

Let C represent the number of photos Claire took. Lisa took 3 times as many as Claire, so Lisa took 3C photos. Robert took 12 more photos than Claire, so Robert took C + 12 photos. Since Lisa and Robert took the same number of photos, we set their expressions equal: 3C = C + 12. Subtracting C from both sides gives 2C = 12, and dividing by 2 yields C = 6.

Question 5

The sum of 7 numbers is greater than 140 and less than 210. Which of the following could be the average (arithmetic mean) of the numbers?

Accepted Answer

26

Answer

The average (arithmetic mean) of a set of numbers is their sum divided by the count of numbers. Given that the sum of 7 numbers is greater than 140 and less than 210, the average must be between 140/7 and 210/7. This means the average must be greater than 20 and less than 30. Of the given options, only 26 falls within this range.

ASVAB - Armed Services Vocational Aptitude Battery Practice Test

ASVAB - Armed Services Vocational Aptitude Battery Practice Test

ASVAB Arithmetic Reasoning Test 1