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  • Question
  • (1 - 1/2) (1 - 1/3) (1 -1/4) (1 -1/5) ... (1 - 1/m) =?


  • Options
  • A. 1/m
  • B. m
  • C. m + 1
  • D. 1/(m - 1)

  • Correct Answer
  • 1/m 

    Explanation

    Given expression
    = (1 - 1/2) x (1 - 1/3) x (1 - 1/4) x (1 - 1/5) ...(1 - 1/m - 1) x (1 - 1/m)
    = ((2 - 1)/2) x ((3 - 1)/3) ((4 - 1)/4) ((5 - 1)/5) ...((m-1 - 1)/m - 1) x ((m - 1)/m)
    = (1/2) x (2/3) x (3/4) x (4/5) x ... x (m -2)/(m-1) x ((m - 1)/m
    use the multiplication rule of Algebra,
    = 1 x 1/m
    = 1/m


  • More questions

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      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
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    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 2. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
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    • 3. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
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    • 4. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
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    • 5. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
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    • 6. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
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    • Discuss
    • 7. 
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    • Options
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    • 8. 
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    • Options
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    • 9. 
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    • Options
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    • Discuss
    • 10. 
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    • Options
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