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Home Aptitude Decimal Fraction See What Others Are Saying!
  • Question
  • Sum of three fractions is 2 11/ 24. If the greatest fraction is divided by the smallest fraction, the result is 7/6, which is greater than the middle fraction by 1/3. find all the three fractions?


  • Options
  • A. 3/5, 4/7, 2/3
  • B. 7/8, 5/6, 3/4
  • C. 7/9, 2/3, 3/5
  • D. 7/8, 7/9, 7/10

  • Correct Answer
  • 7/8, 5/6, 3/4 

    Explanation

    Let the fraction be x, y and z respectively in decreasing order.
    Then, according to the question,
    x/z = 7/6
    ? x = 7z/6

    And y = 7/6 - 1/3 = 7-2/6 = 5/6

    Now, x + y + z = 211/24
    ? 7z/6 + 5/6 + z = 59/24
    ? (13z + 5)/ 6 = 59/24
    ? 13z = 59/4 - 5 =39/4
    ? z = 3/4
    ? x =7z/6 = 7/8
    Hence, the fraction are 7/8, 5/6, 3/4.


  • More questions

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      10 men can make a wall in 8 days. How many men required to complete the same work in half days?

    • Options
    • A. 80
    • B. 100
    • C. 120
    • D. 160
    • Discuss
    • 2. 
      A and B separately can complete a work in 6 days and 3 days respectively. If they work together, then in how many days will they complete the work?

    • Options
    • A. 4 days
    • B. 3 days
    • C. 2 days
    • D. 5 days
    • Discuss
    • 3. 
      (5568 ÷ 87) 1/3 + (72 x 2) 1/2 = (?) 1/2

    • Options
    • A. 256
    • B. 4
    • C. ?2
    • D. 16
    • Discuss
    • 4. 
      ( .803 x .647 + .803 x .353 ) =?

    • Options
    • A. .803
    • B. 1
    • C. .45
    • D. 1.450
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    • 5. 
      If 6 years are subtracted from the present age of Randheer and the remainder is divided by 18 than the present age of his grandson Anup is obtained. If Anup is 2 years younger to mahesh whose age 5 years, then what's the age of Randheer?

    • Options
    • A. 96 years
    • B. 84 years
    • C. 48 years
    • D. 60 years
    • Discuss
    • 6. 
      In a family, the average age of father and mother is 35 yr. The average age of the father, mother and their only son is 27 yr. What is the age of the son?

    • Options
    • A. 12 yr
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    • C. 10.5 yr
    • D. 10 yr
    • Discuss
    • 7. 15, 31, 63, 127, 255, (....)

    • Options
    • A. 513
    • B. 511
    • C. 517
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    • 8. 
      356 x 936 - 356 x 836 =?

    • Options
    • A. 35600
    • B. 34500
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    • 9. 
      In a right angled ? ABC, Right angled at A, AD ? BC. Then :

    • Options
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    • Discuss
    • 10. 
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    • Options
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