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Armed Services Vocational Aptitude Battery Test: General Science, Arithmetic Reasoning, Word Knowledge, Paragraph Comprehension, Mathematics Knowledge, Electronics Information, Automotive & Shop Information, Mechanical Comprehension, Assembling Objects Questions 861–865 (page: 174)

Updated On: 9-Feb-2026

(x + 4)(x + 2) = __________.

  1. x2 + 6x + 6
  2. x2 + 8x + 8
  3. x2 + 8x + 6
  4. x2 + 6x + 8

Answer(s): D

Explanation:

Multiply the first variable in the first set of parentheses with the first variable in the second set of parentheses (x × x = x2).
Next, multiply the first variable in the first set of parentheses with the second number in the second set of parentheses (x × 2 = 2x). So far, the results are x2 + 2x.
Now, multiply the second number in the first set of parentheses to the first variable in the second set of parentheses (4 × x = 4x).
Next, multiply the second variable in the first set of parentheses to the second number in the second set of parentheses (4 × 2 = 8).
The solution is x2+ 2x + 4x + 8.
Combining the like terms results in x2+ 6x + 8.



1.5 × 103= __________.

  1. 45
  2. 150
  3. 1,500
  4. 15

Answer(s): C

Explanation:

1.5 × 103= 1.5 × (10 × 10 × 10) = 1.5 × 1,000 = 1,500.



Which of the following is a prime number?

  1. 27
  2. 11
  3. 8
  4. 4

Answer(s): B

Explanation:

A prime number is a number that can be divided evenly by itself or by one, but not by any other number.
Choices 27, 8 and 4 can all be divided evenly by other numbers.



What's the mode of the following series of numbers?
4, 4, 8, 8, 8, 10, 10, 12, 12

  1. 9
  2. 8
  3. 11
  4. 10

Answer(s): B

Explanation:

The mode of a series of numbers is the number that appears in the series the most frequently.
In this case, it's 8.



If a = 4, then a3 ÷ a = __________.

  1. 4
  2. 12
  3. 64
  4. 16

Answer(s): D

Explanation:

(4 × 4 × 4) ÷ 4 = 64 ÷ 4 = 16



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