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RRB NTPC Quantitative Aptitude — practice by topic

Browse 477 questions across 10 Quantitative Aptitude topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Quantitative Aptitude topics

Time and Work (78)Profit and Loss (74)Time, Speed and Distance (68)Number System (64)Ratio and Proportion (62)Geometry & Mensuration (57)Simple & Compound Interest (56)Averages (9)Interest (9)Simple Interest (9)

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What is the square of 349?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 →The mean of a set of observations is found by: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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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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If the number x3339 is divisible by 11, what is the digit x?

  1. 2
  2. 4
  3. 5
  4. 3
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Correct answer: C. 5

1. Divisibility by 11: (sum of digits at odd places) - (sum at even places) is a multiple of 11. 2. For x3339, from the right: odd places 9, 3, x; even places 3, 3. Odd sum = 12 + x, even sum = 6. 3. Difference = 6 + x. For divisibility, 6 + x = 11, so x = 5. _Source: RRB Group D CEN-02/2018 PYQ, Q.71._

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