ASVAB ASVAB Certifications ASVAB-SECTION-6 Questions & Answers

• Question 111:

  What is the maximum number of boxes, each measuring 3 inches by 4 inches by 5 inches, that can be packed into a storage space measuring 1 foot by 2 feet by 2 feet, 1 inch?

  A. 120

  B. 60

  C. 15

  D. 48

  Correct Answer: A

  Explanation: The storage space measurements of 1 foot by 2 feet by 2 feet, 1 inch can be converted to inches as 12 inches by 24 inches by 25 inches. Boxes measuring 3 inches by 4 inches by 5 inches can be stacked so that four of the 3-inch sides make up the 12-inch storage dimension, six of the 4-inch sides fill the 24-inch storage dimension, and five of the 5-inch sides fill the 25-inch storage dimension. There will be 4 x 6 x 5, or 120, boxes packed into the storage space.

• Question 112:

  A rectangular vegetable garden 16 yards long and 4 yards wide is completely enclosed by a fence. To reduce the amount of fencing used, the owner replaced the garden with a square one having the same area.

  How many yards of fencing did he save?

  A. 4

  B. 6

  C. 8

  D. 16

  Correct Answer: C

  Explanation:

  

  The area of the rectangular garden is equal to the product of its length and width. Area of rectangle = 16 x

  4 = 64 square yards.

  In order for the square to have the same area, 64 square yards, its sides must each be 8 yards long, since

  8 x 8 = 64 square yards. The fence around the rectangular garden has a length of

  16 + 4 + 16 + 4, or 40, yards.

  The fence around the square garden has a length of 4 x 8, or 32, yards.

  The saving in fencing is 40 - 32, or 8, yards.

• Question 113:

  The base of a cylindrical can is a circle whose diameter is 2 inches. Its height is 7 inches.

  How many cubic inches are there in the volume of the can? Use 22/7 for the value of π.

  A. 124/7

  B. 22

  C. 44

  D. 88

  Correct Answer: B

  Explanation:

  The volume of a cylinder is equal to the product of its height and the area of its base. The base is a circle.

  The area of a circle is πr2, where π = 22/7 and r is the radius. Since the diameter is 2 inches, the radius

  (which is one-half the diameter) is 1 inch.

  Area of circular base = 22/7 x 1/1 x 1/1 = 22/7

  The height is 7 inches.

  22/7 x 7/1 = 22 cubic inches

• Question 114:

  A naval task force is to be made up of a destroyer, a supply ship, and a submarine.

  If four destroyers, two supply ships, and three submarines are available from which to choose, how many different combinations are possible for the task force?

  A. 9

  B. 24

  C. 8

  D. 12

  Correct Answer: B

  Explanation:

  There are four possible choices for the destroyer. Each of these choices may be coupled with any of the

  two choices for the supply ship. Each such destroyer-supply ship combination may in rum be coupled with

  any of the three possible choices for the submarine.

  Thus, there are 4 x 2 x 3, or 24, different combinations possible.

• Question 115:

  A cylindrical post has a cross section that is a circle with a radius of 3 inches. A piece of cord can be wound around it exactly seven times.

  How long is the piece of cord? Use 22/7 as the value of π.

  A. 66 inches

  B. 42 inches

  C. 198 inches

  D. 132 inches

  Correct Answer: D

  Explanation: A length of cord that will wind around once is equal to the circumference of the circle whose radius is 3 inches. The circumference of a circle equals 2% r where n =22:7 and r is the radius. Circumference = 22/1 x 22/7 x 3/1 =132/7 inches If the cord can be wound around the post seven times, its length is seven times the length of one circumference. Length of cord 132/7 x 7/1 = 132 inches

• Question 116:

  For a special operations air assault mission, one extra soldier for the security element is to be chosen at random from among three soldiers from the 327th Infantry Regiment, two soldiers from the 502nd Infantry Regiment, and five soldiers from the 187th Infantry Regiment.

  What is the probability that a soldier from the 327th Infantry Regiment will be chosen?

  A. 3/10

  B. 1/10

  C. 1/3

  D. 3/7

  Correct Answer: A

  Explanation:

  The probability of an event occurring is the number of "favorable'' outcomes divided by the total possible

  number of outcomes. Since there are three soldiers from the 327th from which to choose, there are three

  possible favorable outcomes for choosing a soldier from that unit.

  Since the choice will be made from among a total of 10 soldiers, there are 10 different possible outcomes.

  The probability of choosing a soldier from the 327th Infantry Regiment is 3/10.

• Question 117:

  Solve the following equation for 7:

  ay - bx = 2

  A. bx + 2/a

  B. 2 + bx - a

  C. 2/a - bx

  D. 2/a - bx

  Correct Answer: A

  Explanation: The given equation ay - bx=2 is to be solved for y. Isolate the y-termon one side of the equation by adding bx to both sides. ay - bx + bx = 2 + bx ay = 2 + bx y is multiplied by a. To obtain y alone, undo the multiplication by dividing both sides of the equation by a ay/a = 2 + bx/a y = 2 + bx/a

• Question 118:

  The expression x2 + 2x - 3 / x + 3 cannot be evaluated if x has a value of __________.

  A. 0

  B. -1

  C. 3

  D. -3

  Correct Answer: D

  Explanation:

  If x = -3, the denominator of

  x2 + 2x - 3/ x + 3

  will equal 0. Division of 0 is undefined, so x cannot equal -3.

• Question 119:

  What is the number of square inches in the area of a circle whose diameter is 28 inches?

  Use 22/7 for the value of π.

  A. 616

  B. 88

  C. 44

  D. 1,232

  Correct Answer: A

  Explanation:

  The area of a circle is xr2, where x = 22/7 and represents the length of the radius. A radius is one-half the

  length of a diameter. Therefore, if the diameter is 28 inches, the radius of the circle is 14 inches.

  

• Question 120:

  What is the value of (0.2)3?

  A. 0.008

  B. 0.8

  C. 0.006

  D. 0.6

  Correct Answer: A

  Explanation:

  (0.2)3 means 0.2 x 0.2 x 0.2

  Multiply the first two numbers:

  0.2 x 0.2 x 0.2 = 0.04 x 0.2

  Now multiply the remaining two numbers:

  0.04 x 0.2 = 0.008