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  • Question
  • If x = ?3 + ?2 , then the value of (x + 1/x) is


  • Options
  • A. 2
  • B. 3
  • C. 2?2
  • D. 2?3

  • Correct Answer
  • 2?3 

    Explanation

    Given , X = ?3 + ?2
    ? 1/x = 1/(?3 + ?2)
    Now Multiply and Divide by (?3 - ?2) in 1/x.
    After multiply and divide, we will get
    1/x = (1/(?3 + ?2)) X (?3 - ?2) /(?3 - ?2)
    [rationalising]
    ? 1/x = ?3 - ?2/3 - 2
    ? x + 1/x = ?3 + ?2 + ?3 - ?2 = 2?3


  • Simplification problems


    Search Results


    • 1. 
      In a certain office (1/3) of the worker are women (1/2) of the women are married and (1/3) of the married women have children. If (3/4) of the man are married and (2/3) of the married men have children. What part of workers are without children?

    • Options
    • A. 5/11
    • B. 4/9
    • C. 11/18
    • D. 17/36
    • Discuss
    • 2. 
      (2 - 1/3) (2 - 3/5) (2 - 5/7) ... (2 - 997/999) is equal to?

    • Options
    • A. 1001/999
    • B. 999/1001
    • C. 1001/3
    • D. 5/1001
    • Discuss
    • 3. 
      If a + b + c = 0, then the value of [(a + b)/c + (b + c)/a + (c + a)/b)] x [a/(b + c) + b/(c + a) + c/(a + b)] is?

    • Options
    • A. 9
    • B. 0
    • C. 8
    • D. -3
    • Discuss
    • 4. 
      The highest score in an inning was 3/11 of the total score and the next highest was 3/11 of the remainder. If the score differ by 18, find the total score.

    • Options
    • A. 244
    • B. 242
    • C. 294
    • D. 255
    • Discuss
    • 5. 
      If a + b + c = 14 and a 2 + b 2 + c 2 = 96, then (ab + bc + ca) =?

    • Options
    • A. 51
    • B. 55
    • C. 50
    • D. 65
    • Discuss
    • 6. 
      Find the value of a 3 + b 3 + c 3 - 3abc when a = 225, b = 226 , c = 227

    • Options
    • A. 2304
    • B. 2430
    • C. 2034
    • D. 2340
    • Discuss
    • 7. 
      Simplify 6 - [9 - {18 - (15 -12 - 9)}]

    • Options
    • A. 1
    • B. 4
    • C. 5
    • D. 3
    • Discuss
    • 8. 
      10.8 x 5.5 x 8.4 =?

    • Options
    • A. 458.69
    • B. 489.96
    • C. 498.96
    • D. 485.69
    • Discuss
    • 9. 
      8648 - 7652 =? x 40

    • Options
    • A. 24.7
    • B. 28.9
    • C. 27.4
    • D. 25.9
    • Discuss
    • 10. 
      683.46 - 227.39 - 341.85 =?

    • Options
    • A. 114.22
    • B. 141.22
    • C. 144.22
    • D. 112.22
    • Discuss


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