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Accenture Hiring Number System — practice questions

Explore 5 free Number System questions in Accenture Hiring Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Number System questions and exercises with answers

Showing questions 1–5 of 5.

What is the square of 349?Read the answer and worked solution →What is the three-digit number which is 2 more than a perfect square and 2 less than a perfect cube?Read the answer and worked solution →Which of the following numbers is NOT a perfect cube?Read the answer and worked solution →If the number x3339 is divisible by 11, what is the digit x?Read the answer and worked solution →If the number x4738 is divisible by 9, what is the value of x?Read the answer and worked solution →

Worked practice questions

What is the square of 349?

  1. 122801
  2. 122881
  3. 121801
  4. 120801
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Correct answer: C. 121801

1. Write 349 as (350 − 1). 2. (350 − 1)² = 350² − 2·350 + 1 = 122500 − 700 + 1. 3. This equals 121801. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.18._

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What is the three-digit number which is 2 more than a perfect square and 2 less than a perfect cube?

  1. 123
  2. 627
  3. 402
  4. 350
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Correct answer: A. 123

1. Check 123: subtract 2 to get 121, and 121 = 11², a perfect square. 2. Add 2 to 123 to get 125, and 125 = 5³, a perfect cube. 3. Both conditions hold, so the number is 123. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.33._

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Which of the following numbers is NOT a perfect cube?

  1. 64
  2. 243
  3. 216
  4. 1728
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Correct answer: B. 243

1. 64 = 4³, 216 = 6³ and 1728 = 12³, all perfect cubes. 2. For 243, note 6³ = 216 and 7³ = 343, so 243 lies between consecutive cubes. 3. Hence 243 is not a perfect cube (it is actually 3⁵). _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.40._

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More Quantitative Aptitude topics

Arithmetic Algebra MensurationMultiplicationNumber PropertiesPercentageSquares And RootsSimple InterestCompound InterestRatio and Proportion