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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 1011–1015 (page: 204)

Updated On: 9-Feb-2026

Which of the following is equivalent to 4(z2)?

  1. 4(z + z)
  2. 4(z - z)
  3. 4(z × z)
  4. 4(z ÷ z)

Answer(s): C

Explanation:

z2 is equivalent to z × z.



How much water must be added to 1 liter of a 5% saline solution to get a 2% saline solution?

  1. 1L
  2. 1.5L
  3. 2L
  4. 2.5L

Answer(s): B

Explanation:

Use the equation (0.05) (1) = (0.02) x:
the left side represents 5% of 1 liter; the right side represents 2% of some amount of water. From the equation, x = 2.5. Subtracting the 1 liter of water already present in the 5% solution, you will find that 1.5 liters need to be added.



What is another way to write 312?

  1. 63
  2. 34
  3. 123
  4. 12

Answer(s): A

Explanation:

The square root of 12 is the same as the square root of (4 × 3), which is the same as the square root of 4 times the square root of 3. The square root of 4 is 2. So 3 times the square root of 12 is the same as 3 times 2 times the square root of 3.



What is another way to write 2.25 × 1002?

  1. 225
  2. 2,250
  3. 22,500
  4. 225,000

Answer(s): C

Explanation:

1002 = (100)(100), or 10,000
(10,000)(2.25) = 22,500



Choose the answer to the following problem: 107 ÷ 104?

  1. 103
  2. 104
  3. 107
  4. 1011

Answer(s): A

Explanation:

In a division problem like this, leave the whole number the same and subtract the exponents.



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