ASVAB ASVAB Certifications ASVAB-SECTION-6 Questions & Answers

• Question 101:

  12(82 - 3) - (2 x 81) = __________.

  A. 382

  B. 786

  C. 851

  D. 1,137

  Correct Answer: B

  Explanation:

  Perform the operations in the parentheses first: (12 x 79) - 162 = 948 - 162 = 786.

• Question 102:

  61/3 + 53/10 = __________.

  A. 114/13

  B. 113/10

  C. 1119/30

  D. 111/3

  Correct Answer: C

  Explanation:

  You must convert both fractions to thirtieths before adding. Thus, with the fractions converted the numbers

  are 610/30 + 59/30 = 1119/30.

• Question 103:

  What is another way to write 43?

  A. 36

  B. 48

  C. 56

  D. 64

  Correct Answer: D

  Explanation: 4 x 4 x 4 = 64.

• Question 104:

  What is 0.3172 rounded to the nearest tenth?

  A. 0.3

  B. 0.32

  C. 0.317

  D. 0.3172

  Correct Answer: A

  Explanation:

  0.32 is rounded to the hundredths place.

  0.317 is rounded to the thousandths place.

  0.3172 is rounded to the nearest ten-thousandths place.

• Question 105:

  Which of the following means 3n + 7 = 16?

  A. 7 more than 3 times a number is 16

  B. 3 more than 7 times a number is 16

  C. 7 less than 3 times a number is 16

  D. 10 times a number is 16

  Correct Answer: A

  Explanation:

  The expression 3n means 3 times n. The addition sign before the 7 indicates the phrase more than.

• Question 106:

  Which number sentence is true?

  A. 62 < 6.2

  B. 0.62 < 0.062

  C. 62.62 < 6.262

  D. 0.006262 < 0.062

  Correct Answer: D

  Explanation:

  The more zeroes to the right of the decimal point, the smaller the number.

• Question 107:

  25 percent of what number is equal to 5?

  A. 5

  B. 20

  C. 40

  D. 50

  Correct Answer: B

  Explanation:

  Divide 5 by 25 and then multiply the answer by 100 to find the percent.

• Question 108:

  Which of the following is the equivalent of 12/25?

  A. 0.36

  B. 0.42

  C. 0.48

  D. 0.52

  Correct Answer: C

  Explanation:

  The fraction 12/25 is equivalent to 48/100 or 0.48.

• Question 109:

  There are 12 liters of a mixture of acetone in alcohol that is 331/3% acetone.

  How many liters of alcohol must be added to the mixture to reduce it to a mixture containing 25% acetone?

  A. 1

  B. 2

  C. 4 D. 6

  Correct Answer: C

  Explanation:

  If the original mixture is 331/3% (or 1/3) acetone, then 1/3 of the mixture of 12 liters, or 4 liters, is acetone.

  The fraction 4/12 represents the ratio of acetone to total mixture. If the total mixture is increased by x liters,

  the ratio of acetone to total mixture becomes 4/(12 + x). This is to be equal to 25% (or 1/4).

  4/12 + x = 1/4

  To undo the divisions on both sides of the equation, multiply both sides by 4 and also by 12 + x.

  4/12 + x x 4(12 + x)/1

  = 1/4 x 4(12 + x)/1

  16 = 12 + x

  The isolate x on one side of the equation, subtract 12 from both sides.

  16 - 12 = 12 + x - 12

  4 = x

• Question 110:

  

  A circle passes through the four vertices of a rectangle that is 8 feet long and 6 feet wide.

  How many feet are there in the radius of the circle?

  A. 14

  B. 21/4

  C. 10

  D. 5

  Correct Answer: D

  Explanation:

  If the circle passes through all four vertices of the rectangle, its diameter will be a diagonal of the rectangle.

  Since a rectangle's angles are right angles, the diagonal for n is a right triangle with two sides of the

  rectangle. Let x = the length of the diagonal. By the Pythagorean Theorem, in a right triangle the square of

  the length of the hypotenuse is equal to the sum of the squares of the legs.

  x2 = 82 + 62

  x2 = 64 + 36

  x2 = 100

  x2 = 100

  means that x times x=100.

  Therefore, x = 10 feet.

  But 10 is a diameter of the circle. A radius of a circle is one-half the diameter. Hence, the radius is 5 feet.