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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 901–905 (page: 182)

Updated On: 9-Feb-2026

What's the sum of the integers from 1 to 300?

  1. 38,243
  2. 45,150
  3. 49,923
  4. 52,024

Answer(s): B

Explanation:

The formula to find the sum of a finite arithmetic sequence is S =n/2(a+b), where n is the number of terms, a is the first term in the sequence, and b is the last term in the sequence.
In this case there are 300 terms (n), and the first term is 1 and the final term is 300.
S = n/2(a + b)
S = 300/2(1 + 300)
S = 150(301)
S = 45,150



(y2)3 = __________.

  1. y5
  2. y6
  3. y3
  4. 3y2

Answer(s): B

Explanation:

(y2)3 is the same as (y2)(y2)(y2). Multiply exponents with the same base by keeping the base and adding the exponents: (y2) (y2) (y2) = y6.



If y = 6, then 2y × y = __________.

  1. 12
  2. 72
  3. 18
  4. 242

Answer(s): B

Explanation:

Substitute 6 for y the equation: 2(6) × 6 = 12 × 6 = 72.



If 0.05x = 1, then x equals __________.

  1. 1/20
  2. 20
  3. 10
  4. 5

Answer(s): B

Explanation:

To check your answer, substitute 20 for x in the original equation.



25x2 = __________.

  1. x
  2. x2
  3. 5x2
  4. ­5x2

Answer(s): C

Explanation:

25x2 = (5x)2 = 5x2



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