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ITBP Simplification — practice questions

Explore 8 free Simplification questions in ITBP Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Simplification questions and exercises with answers

Showing questions 1–8 of 8.

What is the value of 994 × 1006?Read the answer and worked solution →If 25 × 32 = 800, then 2.5 × 0.32 equals:Read the answer and worked solution →Given that 551 / 29 = 19, what is the value of 5.51 / 0.0019?Read the answer and worked solution →What is the value of X if 7580 - X = 3440?Read the answer and worked solution →Evaluate: −15 − (−18 − 35 ÷ 5) = ?Read the answer and worked solution →Evaluate: 66 ÷ [67 − {43 − (17 − 117 ÷ 9 × 4)}] = ?Read the answer and worked solution →If x = (√6 − 1)/(√6 + 1) and y = (√6 + 1)/(√6 − 1), find (3x² + 5xy + 3y²)/(3x² − 5xy + 3y²).Read the answer and worked solution →Evaluate: (3 − 0.2) / (0.1 × (3 + 0.2)).Read the answer and worked solution →

Worked practice questions

What is the value of 994 × 1006?

  1. 999964
  2. 999664
  3. 999644
  4. 996644
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Correct answer: A. 999964

1. Notice 994 = 1000 − 6 and 1006 = 1000 + 6. 2. Use (a − b)(a + b) = a² − b², so the product is 1000² − 6². 3. That gives 1,000,000 − 36 = 999,964. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.1._

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If 25 × 32 = 800, then 2.5 × 0.32 equals:

  1. 8.00
  2. 80.0
  3. .080
  4. .800
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Correct answer: D. .800

1. 25 × 32 = 800 is given. 2. In 2.5 × 0.32, there is one decimal place in 2.5 and two in 0.32, total three. 3. Place three decimal places in 800 to get 0.800. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.20._

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Given that 551 / 29 = 19, what is the value of 5.51 / 0.0019?

  1. 2900
  2. 2.9
  3. 290
  4. 0.29
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Correct answer: A. 2900

1. Write 5.51 / 0.0019 = (5.51 x 10000) / (0.0019 x 10000) = 55100 / 19. 2. Since 551 / 29 = 19, we have 551 / 19 = 29, so 55100 / 19 = 2900. 3. Therefore the answer is 2900. _Source: RRB Group D CEN-02/2018 PYQ, Q.21._

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More Quantitative Aptitude topics

MensurationMultiplicationNumber PropertiesSimple InterestSquares And RootsPercentagesNumber SystemRatio and Proportion