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  • Question
  • The age of the father of two children is twice that of the elder one added to four times that of the younger one. If the geometric mean of the ages of the two children is 4? 3 and their harmonic mean is 6, then what is the father's age?


  • Options
  • A. 48 yr
  • B. 32 yr
  • C. 40 yr
  • D. 56 yr

  • Correct Answer
  • 40 yr 

    Explanation

    Given, F = 2E + 4Y ...(I)
    ?EY = 4?3
    ? EY = 48 ...(II)
    and 2EY/ E + Y = 6 ? E + Y = 16 ...(III)
    Now, (E -Y)2 = (E + Y)2 - 4EY
    = (16)2 - 4 x 48
    = 256 - 192 = 64
    ? E - Y = 8 ...(iv)
    From Eqs. (iii) and (iv), we get
    E = 12 and Y = 4
    From Eq. (i) F = 2 x 12 + 4 x 4 = 40 yr


  • More questions

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      The median for the data 2, 4, 6, 8, 10, 12, 14 is

    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 3. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
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    • 4. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
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    • 5. 
      .02 =(......?.....)%

    • Options
    • A. 20
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    • 6. 
      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
    • Discuss
    • 7. 
      2?63 / 11 =233

    • Options
    • A. 4
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    • D. 5
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    • 8. 
      When 121012 is divided by 12, the remainder is

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    • A. 0
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    • 9. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

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    • Discuss
    • 10. 
      750.0003 ÷ 19.999 =?

    • Options
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